Solve the system of equations by the elimination method.
-x + 5y = 2 -4x + 6y = -8
A) (2, 0)
B) no solution
C) (3, 2)
D) (-2, -1)

Question

Quizplus · Accepted Answer

To solve the system of equations by the elimination method, we can multiply the first equation by 4 to make the coefficients of x in both equations equal in magnitude but opposite in sign. This gives us:4(x + 5y) = 4(2) => 4x + 20y = 8-4x + 6y = -8Adding these two equations together eliminates x:(4x - 4x) + (20y + 6y) = 8 - 826y = 0y = 0Substituting y = 0 into the first equation:x + 5(0) = 2x = 2Therefore, the solution is (2, 0).

Solve the System of Equations by the Elimination Method