Question

Students are using the graph to find the solution to the system y=3 and y=-2x+1. Anthony says the solution to the system is (3,-5). April says the solution to the system is (-1,3).

Answer 1

Answer: April is correct.

Step-by-step explanation: According to the methods used in systems of equations, if we are to solve this system by setting up the equations

(3 = -2x + 1), we see that the solution is x = -1. If you substitute this x-value back into the original equation, y = -2x + 1, we get the answer y = 3 and thus, receiving the solution to the system (-1,3). Anthony is wrong because the graph includes an extra line at x = 3, throwing off his answers.