Solve the system of equations by elimination.
-6x + 3y = 51 2x - 6y = 38
A)(10, -3)
B)(-3, 10)
C)(3, -10)
D)(-10, 3)

Question

Quizplus · Accepted Answer

To solve the system by elimination, we can multiply the second equation by 3 to get the coefficients of y to be opposites. This gives us: 6x + 3y = 51 (Equation 1) 6x - 18y = 114 (Equation 2 multiplied by 3) Subtracting the second equation from the first gives: 21y = -63, so y = -3. Substituting y = -3 into the first equation gives: 6x + 3(-3) = 51, which simplifies to 6x - 9 = 51, and further to 6x = 60, so x = 10. Therefore, the solution is (10, -3).

Solve the System of Equations by Elimination