MATH SOLVE

6 months ago

Q:
# The graph below shows a system of equations:The x-coordinate of the solution to the system of equations is __________.

Accepted Solution

A:

3y = -2x + 2

y = x + 4 (Substitute the y)

3(x + 4) = -2x + 2 (Distribute)

3x + 12 = -2x + 2 (Add 3 to both sides)

+3x +3x

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

12 = 1x + 2 (Subtract 2 from both sides)

-2 - 2

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

10 = 1x (Divide by 1 on both sides)

10/1 = 1x/1

x = 10

This is your x-coordinate

y = x + 4 (Substitute the y)

3(x + 4) = -2x + 2 (Distribute)

3x + 12 = -2x + 2 (Add 3 to both sides)

+3x +3x

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

12 = 1x + 2 (Subtract 2 from both sides)

-2 - 2

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

10 = 1x (Divide by 1 on both sides)

10/1 = 1x/1

x = 10

This is your x-coordinate