Solve the system of equations by the elimination method.
--3x - 2y = 4
12x + 8y = -16
A)(-12, -8)
B)infinitely many solutions
C)(-8, -12)
D)no solution

Question

Solve the system of equations by the elimination method.
--3x - 2y = 4 
12x + 8y = -16
A)(-12, -8)
B)infinitely many solutions
C)(-8, -12)
D)no solution

Quizplus · Accepted Answer

The given system of equations is -3x - 2y = 4 and 12x + 8y = -16. If we multiply the first equation by 4, we get -12x - 8y = 16, which is a multiple of the second equation (12x + 8y = -16) when multiplied by -1. This means the two lines are coincident, and there are infinitely many solutions.

Solve the System of Equations by the Elimination Method