Respuesta :

System of equations:

[tex]y=-2x+19[/tex]

[tex]y=x+7[/tex]

The intersection point for this is (4,11).

y = -2x + 19

y = x + 7

Since both equations are solved for y, set them equal to each other and solve for x.

x + 7 = -2x + 19

Add 2x to both sides.

3x + 7 = 19

Subtract 7 from both sides.

3x = 12

Divide both sides by 3.

x = 4

Now substitute 4 for x in the first original equation to find y.

y = -2(4) + 19

y = -8 + 19

y = 11

Answer: x = 4 and y = 11