Solve the system by elimination.
-6x - 44 = 8y 4x - 6y = 30
A) (5, 0)
B) (6, 0)
C) No solution
D) (6, -1)

Question

Quizplus · Accepted Answer

To solve by elimination, first align the equations: 6x - 8y = 44 and 4x - 6y = 30. Multiply the second equation by 2 to align the coefficients of x: 8x - 12y = 60. Subtract the first equation from this result: 2x - 4y = 16. Simplify to x - 2y = 8. Solve for x in terms of y: x = 2y + 8. Substitute into the first equation: 6(2y + 8) - 8y = 44, which simplifies to 12y + 48 - 8y = 44, leading to 4y = -4, so y = -1. Substitute y = -1 back to find x: x = 2(-1) + 8 = 6. Thus, the solution is (6, -1).

Solve the System by Elimination