Solve the system of linear equations y = - 2x + 19 y = x + 7

x=4, y=11

Step-by-step explanation:

y = - 2x + 19

y = x + 7

Since both equations are equal to y, we can set them equal to each other

-2x + 19 = x + 7

Add 2x to each side

-2x + 19+2x = x + 7+2x

19 = 3x+7

Subtract 7 from each side

19-7 = 3x+7-7

12 = 3x

Divide by 3

12/3 = 3x/3

4=x

Now find y

y=x+7

y = 4+7

y=11