Solve by using substitution. Express your answer as an ordered pair.

Solve By Using Substitution. Express Your Answer As An Ordered Pair.

Answers

Answer 1

Answer:

(1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + y = 2

y = x - 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x + (x - 3) = 2Combine like terms:           5x - 3 = 2Isolate x term:                     5x = 5Isolate x:                              x = 1

Step 3: Solve for y

Define equation:                    y = x - 3Substitute in x:                       y = 1 - 3Subtract:                                 y = -2
Answer 2
(1,-2) is the ordered pair

Related Questions

What is slope? How can you describe it?

Answers

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line

Step-by-step explanation:

Answer:

How steep a line is.

Ex: the slope of 3/5 = 0.6

Look at the image for example

I need help on this

Answers

what do you need help on?

Determine the equation of the circle graphed below.

Answers

Answer: (-7,3)

Step-by-step explanation:

i need the slope intercept for this equation​

Answers

Answer:

y = -2/3x + 8

Step-by-step explanation:

find the surface area of this cylinder using pie.

Answers

1445.133 I’m not sure tho

Solve equations by using elimination
-4+5y= 13
X-5y=21
( , )

Answers

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

What is the circumference?
30 ft

Answers

Answer:

94.248 feet

1,131.0 inches

94′ 3″ feet and inches

28.727 meters

2,872.7 centimeters

Step-by-step explanation:

Kyle bought four boxes of cereal for $8.60. How much would 10 boxes of cereal cost

Answers

Answer:

$20.75

Step-by-step explanation:

The answer is $21.50

Explain:

$8.60 / 4 = $2.15

$2.15 x 10 = $21.50

Could I have brainliest?

0.14 quarts to 0.24 quarts

Enter the ratio as a fraction of whole number in lowest tents ( no decimals )

Answers

Answer: [tex]\dfrac{7}{12}[/tex] .

Step-by-step explanation:

To find : Ratio of 0.14 quarts to 0.24 quarts.

In fraction it will be

[tex]\dfrac{\text{0.14 quarts}}{\text{0.24 quarts}}\\\\=\dfrac{14}{24}\ \ \ \ \\\\=\dfrac{7}{12}\ \ \ \ \ [\text{Divide numerator and denominator by 2}][/tex]

= 7:12

Hence, the required fraction = [tex]\dfrac{7}{12}[/tex] .

Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. who traveled faster? explain or show your reasoning

Answers

Answer:

Jada

Step-by-step explanation:

Jada traveled faster (45mph) and Andre traveled a longer distance (228 miles) but went 38mph, concluding that Jada traveled faster.

45x3=135 (Jada)

38x6=228 (Andre)

Please somebody help me.

Answers

Answer: I do believe its A.

Tho I advise you plug it into Midpoint Calculator (Free math website) just to be sure.

Happy Holidays and Good luck

1 2/5m - 3/5(2/3m+1)

Answers

Answer:

step by step

STEP

1

:

Equation at the end of step 1

((((3•(m3))+5m2)-5m)+1)

(———————————————————————•m)-1

3

STEP

2

:

Equation at the end of step

2

:

(((3m3+5m2)-5m)+1)

(——————————————————•m)-1

3

STEP

3

:

3m3 + 5m2 - 5m + 1

Simplify ——————————————————

3

Checking for a perfect cube :

3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3m3 + 5m2 - 5m + 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5m + 1

Group 2: 5m2 + 3m3

Pull out from each group separately :

Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)

Group 2: (3m + 5) • (m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 8.00

-1 3 -0.33 3.11

1 1 1.00 4.00

1 3 0.33 0.00 3m - 1

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

3m3 + 5m2 - 5m + 1

can be divided with 3m - 1

Polynomial Long Division :

3.4 Polynomial Long Division

Dividing : 3m3 + 5m2 - 5m + 1

("Dividend")

By : 3m - 1 ("Divisor")

dividend 3m3 + 5m2 - 5m + 1

- divisor * m2 3m3 - m2

remainder 6m2 - 5m + 1

- divisor * 2m1 6m2 - 2m

remainder - 3m + 1

- divisor * -m0 - 3m + 1

remainder 0

Quotient : m2+2m-1 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring m2+2m-1

The first term is, m2 its coefficient is 1 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

(m2 + 2m - 1) • (3m - 1)

(———————————————————————— • m) - 1

3

STEP

4

:

Equation at the end of step 4

m • (m2 + 2m - 1) • (3m - 1)

———————————————————————————— - 1

3

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

1 1 • 3

1 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3

———————————————————————————— = ———————————————————————

3 3

Polynomial Roots Calculator :

5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3

See theory in step 3.3

In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -11.00

-1 3 -0.33 -4.04

-3 1 -3.00 57.00

1 1 1.00 1.00

1 3 0.33 -3.00

3 1 3.00 333.00

Polynomial Roots Calculator found no rational roots

Final result :

3m4 + 5m3 - 5m2 + m - 3

———————————————————————

3

Terms and topics

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How much are these coins worth???

Answers

Answer

3.26$

Step-by-step explanation:

Which equation could have been used to create this graph?


y = x + 5

y = 3x

y = 6x

y = x + 6

Answers

Answer:

y= 3x

Step-by-step explanation:

Because between each point your going up by 3

Hope this helps you

Answer:

y = 3x

Step-by-step explanation:

This is dealing with slope so think of it as rise over run

[tex]\frac{Rise}{Run}[/tex]

The y intercept is a 0 so you don't have to worry about adding a number after the plus symbol. You can if you want but that's not an option. You go up 3 over 1 and then you get to your next point.

Bridget, Brian & Caroline share some money in the ratio 4 : 9 : 4.
In total, Bridget and Caroline receive £48.
How much does Brian get?​

Answers

Answer:

the answer is 54

Step-by-step explanation:

48 / 4 is 12, so then divide that by 2 so they split equally because theirs combined added to 48, so 6.

6 * 9 is 54

What is the y-intercept of the equation of the line that is perpendicular to the line v= x -x+ 10 and passes through the
point (15,-5)?
O y=xx-20
O y=-3x+20
Ov=3x-2
Ov=-3x+20

Answers

Answer:

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Step-by-step explanation:

Given the equation

[tex]y=\frac{3}{5}x+10[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is 3/5.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -5/3

Therefore, the point-slope form of the equation of the perpendicular line that goes through (15,-5) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=\frac{-5}{3}\left(x-15\right)[/tex]

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

simplifying the equation to convert it into the slope-intercept form

We know that the slope-intercept form of the line equatio is

[tex]y=mx+b[/tex]

here 'm' is the slope and 'b' is the y-intercept

[tex]y+5=\frac{-5}{3}\left(x-15\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=\frac{-5}{3}\left(x-15\right)-5[/tex]

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. Write an equation for the problem.

Answers

Answer:

Equation for the problem

3x + 15 = 51 laps

Hence

She swims on

Monday: 12 laps

Wednesday : 12 laps

Friday = 12 laps

Step-by-step explanation:

Ella swims four times a week at her club's pool.

We are told that:

She swims the same number of laps on Monday, Wednesday, and Friday.

Hence, the number rod times that she swims on Monday, Wednesday and Friday is represented by x

Also, she swims 15 laps on Saturday. She swims a total of 51 laps each week. Equation for the problem

= x + x + x + 15 = 51 laps

3x + 15 = 51 laps

Hence

3x = 51 - 15

3x = 36

x = 36/3

x = 12 laps

Therefore, She swims on:

Monday: 12 laps

Wednesday : 12 laps

Friday = 12 laps

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

help! I’m stuck.. this is due at 7:00pm

Answers

Answer: -6

Step-by-step explanation:

since they are both negative, they both will add up to be -6

The answer is -6 I believe I hope this helps :)

Please help, needed fast

Answers

Answer:

46

Step-by-step explanation:

6*5

-2*-8

30+16=46

Answer:

It would be 46

Step-by-step explanation:

The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?

if I get another unreasonable answer OHFUSHASHDF

Answers

Answer:

150

Step-by-step explanation:

To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150

Answer:

150 degrees.

Step-by-step explanation: Just divide 360 by 24 then times by 10.

if one person has 3/4 0f your laundry what does kyle have?

Answers

Answer:

kyle has got 1/4 of your laundry xD

Step-by-step explanation:

laundry=1

3/4=1 person

1-3/4=1/4

so 1/4=kyle

Answer:

Kyle has 1/4 of the laundry.

Step-by-step explanation:

If one person has 3/4 that means there is 1/4 left.

 So, Kyle has 1/4 left to do.

6. (03.02) Factor completely 3x4 + 4x3 + 6x + 8. (1 point)​

Answers

Answer:

(3x+4)(x³+2)

Step-by-step explanation:

Follow me Please

Answer:

Hope it can help you and mark me as brainlist.

Solve both of these please.

Answers

Answer:

1.

( n + 4 ) - 9

- n - 4 - 9

- n - 13

2.

40 = x - 1

- x = - 1 + 40

- x = 39

Step-by-step explanation:

I duno if this is right...

HELP! Is (0,-5) a solution to 3x - 2y < 10 ?

Answers

Answer:

false

Step-by-step explanation:

3(0) - 2(-5) = 10

the < says it cannot be equal

Identify the triangle by its sides and angles:
equilateral, isosceles, scalene, acute, obtuse, right.

(you should have two answers)

Answers

Answer: Right and isosceles

HELP ASAP PLZ What value of d makes the equation (3d – 2) = }(d + 5) true?​

Answers

1 Remove parentheses.

3d-2=d+5

2 Add 22 to both sides.

3d=d+5+2

3 Simplify  d+5+2  to  d+7.

3d=d+7

4 Subtract d from both sides.

3d-d=7

5 Simplify  3d-d to  2d.

2d=7

6 Divide both sides by 2.

7/2=d

7 Flip sides.

d=7/2

(Optional decimal form)

d=3.5

So 7/2 or 3.5

What is the domain of the square root function graphed below?

Answers

Answer:

X is greater than or equal to 3

Step-by-step explanation:

As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3

Answer:

i think its A or B but im not really sure,most likely A =w=

If f(x)=2​x+1, then f(3)= ?

(2 to the power of x)
(not 2 times x)

Please show work :)
​​

Answers

Answer:

9

Step-by-step explanation:

Input 3 for x

f(x)=2^3+1

f(3)=2^3+1

f(3)=8+1

f(3)=9

Which set of values could be the side length of a 30-60-90 Triangle!

Answers

Your answer is A.

When you have a 30-60-90 triangle, your sides will always have a set pattern.

The side across from the 30 angle will be equal to n (in this case n = 4).

The side across from the 60 angle will always be equal to n√(3) (in this case, 4√(3)).

The side across from the 90 angle will always be 2n (in this case, 8).

You could go into trig or pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle.
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