Question

The graph shows a system of equations: Draw a line labeled y equals x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2. What is the solution to the system of equations? a (−2, 2) b (2, 2) c (2, −2) d (−2, −2)

Answer 1

A

Explanation:

The problem wants you to solve graphically, but I don't have graph paper with me. To solve graphically, draw a straight line between the ordered pairs it gives and find the intersection. I will also solve algebraically; setting up our equations we get y=x+4 and 3y=-2x+2. By multiplying the first equation by 3, we can solve by elimination, resulting in 0=5x+10. After rearranging we have x=-2 and plugging back into y=x+4 gives y=2. Therefore our final answer is (-2,2) or A.