Mathematics High School

y = x - 2 and y=-2x +7

Answers

Answer 1

Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

Answer 2

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

[tex]y=3-2[/tex]

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]

Related Questions

I not sure how to find the value of the letters ​

Answers

Answer:

a = 31°

b = 66°

Step-by-step explanation:

Reason for the answer to a:

It is an alternate angle. So, a = 31°.

Reason for the answer to b:

It is also an alternate angle. So, b = 35° + 31° = 66°.

is -3.16227766017 a rational or irrational number?

Answers

Answer:

rational

Step-by-step explanation:

If the given decimals are all there is, then you can express this number as a ratio (=fraction), i.e.,:

[tex]\frac{-316227766017}{100000000000}[/tex]

Abraham purchased a living room set for $3,742 using an 18-month deferred payment plan with an interest rate of 18.79%. What is the balance after the deferment period if no payments are made?
a.) $4,844.77
b.) $4,949.50
c.) $3,742.00
d.) $4,445.12

Answers

The answer is b I think

yesterday jack drove 33 1/2 miles. He used 1 1/4 gallons of gasloine

Answers

Jack then had an accident and he went to the hospital where he proceeded to have an awfully painful death

Find the value for k. then find the angle of the triangle

Answers

Answer:

Answer:

k=135

Step-by-step explanation:

180=45+k

-45 -45

_________

135=k

Enter the equation of the line in slope-intercept form. Slope is 4, and (3,4) is on the line. The equation of the line is y=

Answers

Answer:

y= 4x - 8

Step-by-step explanation:

hope this helps :)

Find the square root of 784 using prime factorization.

Answers

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

Answer:

28

Step-by-step explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28

i don't get it (solve)

Answers

a = 60
2 x 60 = 120
2 x 60 = 120
60 + 60 = 120
It adds up to 360

what is the value of y?

Answers

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?

Answers

Answer:

there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times

Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?

Answers

The bus one did did fue did. If did si. Nieve is ibdheie. Lie

June charges $27.95 per oil change and $9.50 per tune up each week he does 40 oil changes and 15 tune ups . how much money did June make in a week?​

Answers

I think it should be $1,262.5??? If not I’m so sorry

!!50 POINTS!!
What are the measures of

Answers

Step-by-step explanation:

It A because Acute is smaller then Obtuse that what I look at

Answer:

It A

Step-by-step explanation:

Can I please get brainliest?

someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20 ​

Answers

Answer:

The ratio is 7:13

Step-by-step explanation:

How many solutions does the following equation have?
3z + 9 + 142 = 4z + 5
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions

Answers

Answer:

Step-by-step explanation:

3z + 9 + 142 = 4z + 5

3z + 151 = 4z + 5

-z + 151 = 5

-z = -146

z = 146

answer is B

exactly one solution

inverse sin of 13/7?

Answers

Answer:

0.03213586

Step-by-step explanation:

. an 8 degree rise in temperature

Answers

That's increased level of warming

Is this sentence true or false? 2(x+8) = 2x - 8

Answers

Answer:

  FALSE

Step-by-step explanation:

Applying the distributive property on the left side gives ...

  2x +16 = 2x -8

Subtracting 2x from both sides gives ...

  16 = -8 . . . . a FALSE statement

The given statement is false.

_____

When an algebraic equation is transformed according to the properties of equality, the truth of it does not change.

FOLLOW MY TIKT0K booonkbm PLEASE THANKS AND SHARE MY VIDIOS​

Answers

i- i just want points so sure

What is the answer to -4x = 12

Answers

Steps to solve:

-4x = 12

~Divide -4 to both sides

x = -3

Best of Luck!

Answer:

x=-3

Step-by-step explanation:

-x=12/4

-x=3

×=-3

scientist measured water pressures of different depths she measured the table showing her findings the X values represents the deepest death matters the Y value represents the pressure in atmospheres​

Answers

Answer:10,2

Step-by-step explanation:

Answer:

the answer you are looking for is A

Step-by-step explanation:

Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)​

Answers

Answer:

[tex]MP= (-2,1 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]

Simplify the expression. 40 – 2 • 3²
​

Answers

The answer is 22 :) I hope that helped

C(1) = 3, c(n) = 10 *c(n - 1) for n >2.

Answers

i do not know the answer to this i suck at math

Answer:

34567890-

Step-by-step explanation:

sorry i do not know lol

Can someone plz help with both of these

Answers

Answer:

Domain: (-5<x<-2) (1<x≤3]

Range: (-3<x<4) [-1≤x<2)

Step-by-step explanation:

(Explained another post by same asker)

(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)

3/4 + (-2 1/2) on a number line.. select the location on the number line to plot the sum.. HURRYYYYY

Answers

Answer:

the answer is -1 3/4

Step-by-step explanation:

Anyone know how to do this?? Help pls

Answers

Answer:

The correct answer is A. a = 2s - b - c

Step-by-step explanation:

First you multiply 2 on both sides and you will end up with 2s = a + b + c.

Then to isolate a you would subtract both b and c from both sides of the equation as well to end up with your answer of a = 2s - b - c.

20 points!!!! please help fast!!!!

Answers

Answer:

0 m/s

Step-by-step explanation:

The line is flat so there is no movement

Answer:

b

Step-by-step explanation:

on this graph a horizantal line means no speed because there is no change in distance

Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle people are P prime Q prime R prime S prime . What are the coordinates of point R prime

Answers

Answer:

R'(4, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.

If a point A(x, y) is  rotated 90° counterclockwise about the origin, the new point is A'(-y, x)

From the image attached, below are the location of the points:

P(-3, -1), Q(-1, -1), R(-1, -4) and S(-3, -4)

If point R(-4, -1) is rotated 90° counterclockwise about the origin, its new location would be at R'(4, -1)

Determine whether the equation is always, sometimes, or never true. 6(x + 1) = 2(5 + 3x)

Answers

Answer:

never true

Step-by-step explanation:

6(x + 1) = 2(5 + 3x)

distribute

6x + 6 = 10 + 6x

combine like terms by subtracting 6x and 6 from both sides

0 = 4

that is not a true statement, so this equation is never true

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