If you graph the lines 3x + 2y = –2 and
5x – y = 14 on a standard xy-graph, at
which point will the lines intersect?
Choices:
A) (1, –7)
B) (2, –4)
C) (–5, 4)
D) (–9, 3)
E) (11, 2)
Solve the two equations, 3x + 2y = –2 and 5x – y = 14, as a system of equations. To do   this, multiply the second equation by 2 and then add it to the first equation:   3x+2y=-2+10x-2y=28=&gt;13x=26   Now solve for x:   x = 2   Replace x with 2 in either equation and solve for y:   3(2) + 2y = –2   6 + 2y = –2   2y = –8   y = –4   At the point of intersection, x = 2 and y = –4, so this point is (2, –4).   correct answer (2, –4)) (2, –4).
<result>B</result>
If you graph the lines 3x + 2y = –2 and
5x – y = 14 on a standard xy-graph, at
which point will the lines intersect?