Solve by the substitution method.
-x - 2y = -12 -2x - 3y = -4
A)(-4, 4)
B)(4, 5)
C)(-5, 5)
D)No solution

Question

Quizplus · Accepted Answer

To solve the system of equations by substitution, we first solve one of the equations for one variable in terms of the other. Let's solve the first equation for x:x - 2y = -12x = 2y - 12Now, substitute this expression for x in the second equation:-2(2y - 12) - 3y = -4-4y + 24 - 3y = -4-7y = -28y = 4Now, substitute y = 4 back into one of the original equations to solve for x. Using the first equation:x - 2(4) = -12x - 8 = -12x = -4Therefore, the solution is (-4, 4).

Solve by the Substitution Method