what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x

Answers

Answer 1

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2


Related Questions

In the diagram below, which distances would need to be the same in order for point A to be on the bisector of angle W? Explain why this is true. ​

Answers

Answer:

PA = XA

Step-by-step explanation:

Construction of an angle bisector,

1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.

2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.

3). Joint the points A and W.

Thus AW will be the angle bisector of angle PWX where PA = XA.

Therefore, distances PA and XA will be equal in measure.

2+4=2×+4 2+4=2×2+4 2+4=

Answers

Answer:

25 is the correct answer

Which properties can be used to solve 7y − 15 = −29? Select all that apply. A. Identity Property of Multiplication
B. Addition Property of Equality
C. Distributive Property
D. Inverse Property of Multiplication
E. Commutative Property of Addition

Answers

Answer:

A and E

Step-by-step explanation:

Other 2 wouldn't make sense

Only definite of A

Addition Property of Equality  ----If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Commutative property of addition- changing the order of the numbers we are adding, does not change the sum. Here's an example of how the sum does NOT change, even if the order is changed

The properties that can be used to solve 7y - 15 = -29 are

Addition property of equality and inverse property of multiplication.

Given equation is 7y - 15 = -29.

We will solve for y and see which of the given following properties are applied.

What is addition property of equality and the inverse property of multiplication?

Addition property of equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Inverse property of multiplication

It states that every non-zero x multiplied with 1/x will equal 1.

Solve for y.

7y - 15 = -29

We will add 17 on both sides of the equation.

7y - 15 + 15 = -29 + 15

7y = -14

Now, multiply 1/7 into both sides of the equation.

7y / 7 = -14 / 7

y = -2

While solving for y we see that we have to use the addition property of equality and inverse property of multiplication.

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Vectors: A boat moves through the ocean on a foggy day. The boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East. What is the speed of the boat relative to a stationary observer on land? __m/s Part 2 The boat turns to face directly West. Now how fast is the boat moving relative to land? __m/s

Answers

Answer:

1.) 14.09 m/s

2.) 6.9 m/s

Step-by-step explanation:

Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.

The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem

V^2 = 12.8^2 + 5.9^2

V^2 = 198.65

Square root both sides

V = 14.09 m/s

2.) If the boat turns to face directly West.

Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be

12.8 - 5.9 = 6.9 m/s

Therefore, the boat is moving relative to land at 6.9m/s

Plz help
Asppp......

Answers

Answer:

               it is 7

Step-by-step explanation:

Given points are the same, so midpoint also will be the same:

[tex]M_{AB}=\left(\dfrac{x_A+x_B}2\,,\ \dfrac{y_A+y_B}2\right)=\left(\dfrac{9+9}2\,,\ \dfrac{7+7}2\right)=\left(9\,,\ 7\right)\\\\x_M=9\,,\quad y_M=7[/tex]

Point Q' is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q'?
A (9,-5)
B. (1.1)
C (3.-5)
D. (1-1)

Answers

Answer:

A. (9,-5)

Step-by-step explanation:

Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).

Quincy Jackson sells motorcycles. He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000. How much cornmission will he earn on $19,000 in sales?

Answers

Answer:

total commission= $2,600

Step-by-step explanation:

Giving the following information:

He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.

First, we need to structure the total commission formula:

total commission= 0.10*x + 0.15*y

X= sales up to $5,000

Y= sales from $5,001 to infinity

Now, sales for $19,000 sales:

total commission= 0.1*5,000 + 0.15*14,000

total commission= $2,600

3[–x + (2 x + 1)] = x – 1

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\[/tex]

Collect like terms

[tex]3x -x =-1-3[/tex]

Add similar elements

[tex]2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2[/tex]

simplify the expression √100/49

Answers

Answer:  10/7

Step-by-step explanation:

The square root of 100 is 10 and the square root of 49 is 7 so the answer will be  10/7

The required solution is [tex]1\frac{3}{7}[/tex] .

It is required to simplify the expression.

What is expression?

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined

Given:

The square root of 100 is 10 and the square root of 49 is 7.

According to given question we have,

[tex]\sqrt \frac{100}{49} \\\\=10/7\\\\=1\frac{3}{7}[/tex]

Therefore, the required solution is [tex]1\frac{3}{7}[/tex] .

Learn more details about expression here:

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180-(3x-10) simplify this

Answers

Answer:

-3x+190

Step-by-step explanation:

180-(3x-10)

180-3x+10

-3x+190

Answer:

[tex]180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x[/tex]

hope I am correct

thanks!

4x-15=25 what’s the answer to this? It’s a two step equation

Answers

Answer:

x=10

Step-by-step explanation:

4x=40

x= 40/4

x=10

What are Two angles that have the same measure are called........? (please help due today thank you so much)

Answers

Answer:

Two angles that have the same measure are called CONGRUENT ANGLES...

Plz mark ice bear Brainliest

Two angles that have the same measure are called congruent angles

How to determine the term

Two angles having the same degree of measurement are said to be congruent.

A protractor can be used to compare the angle measures of congruent angles, or angle relationships and properties can be used to find congruent angles in a variety of geometric shapes. Because they enable us to recognize and address issues concerning parallel lines, triangles, polygons, and other geometrical shapes, congruent angles are crucial in the study of geometry.

In order to work with angles and their properties in mathematics, one must first understand congruent angles.

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At 7 pm. the temperature was 6 degrees. By midnight, the temperature had decreased to 4 degrees below zero. What was the temperature change per hour? Type your answer​

Answers

Answer:

56

Step-by-step explanation:

Answer:

The temperature change was -2 degrees per hour.

Step-by-step explanation:

1st hour (8pm) it dropped down to 4 degrees.

2nd hour (9pm) it dropped down to 2 degrees.

3rd hour (10pm) it dropped down to 0 degrees.

4th hour (11pm) it dropped down to -2 degrees.

5th hour (12am/midnight) it dropped down to -4 degrees

evaluate 3/5 times 2/4

Answers

answer: 0.3

good luck!

Answer:

0.3 or 3/10

Step-by-step explanation:

How many counters are shown below?
Put your answer in tens and ones. Every box needs an answer.
Place a zero (0) in any box with no value.
Help me with this question plz

Answers

We need a picture then we could answer it

What does -3mnp equal?

Answers

Answer:

3MN to N =3000000

Step-by-step explanation:

please help me :( my mom is she doing my work tomorrow ​

Answers

2: 23

3: 3

4: 2^3 * 7

Glad i could help :)

Which expression represents the perimeter of this figure?
A. 4n(to the second power)
B. 5n
C. 10n
D. 8n

Answers

Answer:

C. 10n

Step-by-step explanation:

The figure has 2 sides with length 4n and 2 sides with length n.

perimeter = 4n + 4n + n + n

perimeter = 10n

The perimeter of the figure is 10n. which is the correct answer would be option (C).

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that the figure has 2 sides with length 4n and 2 sides with length n.

The perimeter of the figure = 4n + 4n + n + n

Apply the addition operation in the above equation, we get

The perimeter of the figure = 10n

Therefore, the correct answer would be an option (C).

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I really need help with this math problem. I hope anyone can answer this

Answers

A because the others don’t make since


Which of the following is a correct proportion?
А. 2/3 = 4/9
B. 5/7 = 10/11
C. 4/6 = 8/12
D. 3/4 = 12/9

Answers

First, we'll solve A.

2 x2 = 4

3 x2 = 9

3x2=6, not 9.

So it is not A.

5 x2 = 10

7 x2 = 11

7x2=14, not 11.

So B. is out too.

It isn't D. because 12/9 is improper and 3/4 isn't.

So C. is left.

4 x2 = 8

6 x2 = 12

hope it helps!

Answer: Choice C4/6 = 8/12

===============================================

Explanation:

Let's go through the answer choices

-----------

Choice A.

Assume that the given equation here is correct. If so, then we can cross multiply to get

2/3 = 4/9

2*9 = 3*4

18 = 12

The last equation is false, so the first equation is also false. Choice A is not the answer.

-------------

Choice B.

We could do the similar trick as with choice A, but I'll use another method.

Use your calculator to find that

5/7 = 0.714 approx

10/11 = 0.909 approx

We get different decimal values for each fraction, so there's no way the two sides are the same. Choice B is crossed off the list.

-------------

Choice C.

I'll use another method here. Note how the denominators are 6 and 12, and how 6*2 = 12. If we multiply top and bottom of 4/6 by 2, then

(4/6)*(2/2) = (4*2)/(6*2) = 8/12

meaning that 4/6 = 8/12 is a true equation. We can see it through cross multiplication

4/6 = 8/12

4*12 = 6*8

48 = 48

or we could use our calculator to find that

4/6 = 0.667 approx

8/12 = 0.667 approx

Another calculator trick you can use is type in "4/6 - 8/12" without quotes and you should get 0 (or very close to it) as a result. This is using the idea that if x = y, then x-y = 0.

Choice C is the answer

----------------

Choice D.

Since we found the answer, we technically don't need to check choice D. But let's do so anyway.

Right off the bat, we know that 3/4 is less than one, while 12/9 is greater than one. So there's no way 3/4 = 12/9 could be true.

Nia has a membership to Apple Music. She pays $9.99 per month and $0.10 per download. If she spent $10.89 last month, how many downloads did she make last month?

Answers

Answer:

9 downloads

Step-by-step explanation:

Let's start by subtracting the initial fee of $9.99 from her total bill of $10.89.

$10.89 - $9.99 = $0.90

Now, let's divide her total cost of downloads by the individual cost of downloads.

$0.90/$0.10 = 9

Nia made 9 downloads last month.

dilations pls help i cant solve

Answers

Answer:

D' (6, - 4 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is

D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )

A _____ is a flat surface that has no thickness.


line


plane


floor


point

Answers

Answer:

plane is correct answer

eg:

a sheet of paper

it has no thickness but have surface area

hope it helped you:)

A car's velocity changes from 1.2 m/s to 35.8 m/s in 8 seconds. What is the average acceleration of the car in m/s2?

Answers

Answer:

4.325 meters per second squared.

Step-by-step explanation:


2. Which of the following is not an example of
a perfect square?

a. 9
b. 200
C. 4
d. 64

Answers

The answer is D , D , D

If r = 8 units and h = 11 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 2,210.56 cubic units B. 753.6 cubic units C. 552.64 cubic units D. 3,039.52 cubic units

Answers

Answer:

A) 2210.56 cubic units

3 (n - 5) - (6 -2n) = 4n

Answers

Answer:

21

Step-by-step explanation:

3n - 15 - 6 + 2n = 4n

3 n + 2n = 4n + 15 + 6

5 n - 4n = 15 + 6

n = 21

Answer:

 n = 21

Step-by-step explanation:

Use distributive rule: a(b + c) = a*b + a*c

3(n -5) - (6 - 2n) = 4n

3*n - 3*5 + 6*(-1) - 2n *(-1) = 4n

3n  - 15 - 6 + 2n = 4n             {add like term in LHS}

3n + 2n - 15 - 6 = 4n

            5n - 21  = 4n              {add 21 to both sides}

       5n -21 + 21 = 4n +21

                     5n = 4n + 21         {subtract 4n from both sides}

             5n - 4n = 4n -4n +21

   n = 21

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Dale is a software salesman. His base salary is S1800, and he makes an additional S90 for every copy of English is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 23 copies of English is Fun.

Answers

Answer:

P = 90N +1800$3870

Step-by-step explanation:

For sales of N copies at  $90 each, 90N is added to Dale's base salary of $1800.

  P = 90N +1800

__

For N=23, Dale's salary would be ...

  P = 90(23) +1800 = 2070 +1800 = 3870

Dale's total pay for selling 23 copies would be $3870.

Find r, s, and t and then explain how you got your answer using at least two
vocabulary words (adjacent, complementary, supplementary, vertical).

Answers

Answer:

r = 155°

s = 25°

t = 155°

Step-by-step explanation:

25° is supplementary to <r. Therefore:

m<r + 25° = 180°

m<r = 180 - 25

m<r = 155°

25° and <s are vertical opposite angles. Vertical angles are congruent. Therefore, m<s = 25°

<r and <t are vertical opposite angles, therefore, they are congruent.

m<t = m<r = 155°

Is 6.56 a rational number

Answers

yes as it can be turned Into a fraction
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