Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. Provide the solution to the system and explain what the solution represents on the graph.

Question

x + 4y = –16
3x + 2y = 12

Answer 1

x+4y=-16 (1)
3x+2y=12 (2)
Multiply (1) by -3 to get the x's to cancel
-3x-12y=48 (3)
3x+2y=12 (2)
Now add (3) and (2) together.
-10y=60
Divide by -10.
y=-6
Substitude y=-6 into equation (1) or (2) to solve for x.