Question

A pair 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, 3)
(3, 4)
(9, 11)
(11, 9)

Answer 1

correct answer is (4,3) you could figure this out by taking each answer and plugging them into the equation until one of them worked out

Answer 2

3x − y = 9
y = −2x + 11

3x − (−2x + 11) = 9
3x + 2x - 11 = 9
5x = 9 + 11
5x = 20
x = 4

y = −2x + 11 = -2*4+11 = 3

(4, 3)