Apair of equations is shown below.
3x – y = 9
y = –2x + 11
if the two equations are graphed, at what point do the lines representing the two equations intersect? (4 points)
(4, 3)
(3, 4)
(9, 11)
(11, 9)

You may substitute -2x + 11 for the y in the first equation.

3x - (-2x + 11) = 9

3x + 2x - 11 = 9   Distribute the negative.

5x - 11 = 9   Combine like terms

5x = 20   Add 11 to both sides

x = 4    Divide both sides by 5.

Substitute 4 into one of the equations for x to solve for y.

3(4) - y = 9

12 - y = 9

-y = -3

y = 3