Question

vvvThe graph of a pair of linear equations is shown in the coordinate plane below.



⎧
⎨
⎩
y
=
5
2
x
+
2
y
=
−
x
−
5

image.png

Which value is the x-coordinate of the solution?




– 5


– 3


– 2


0

Answer 1

Set the two expressions for y equal: (5/2)x + 2 = −x − 5.
Multiply by 2: 5x + 4 = −2x − 10 → 7x = −14 → x = −2.

Answer: −2.