Solve the system of linear equations by elimination.
9t + 10q = -112
27t + 13q = -268
A) (8, -4)
B) (-8, -4)
C) (-4, -8)
D) (-4, 8)
E) None of the above.

Question

Quizplus · Accepted Answer

To solve by elimination, multiply the first equation by 3 to align the coefficients of t:  3(9t + 10q) = 3(-112)  27t + 30q = -336  Subtract the second equation from this result:  (27t + 30q) - (27t + 13q) = -336 - (-268)  17q = -68  q = -4  Substitute q = -4 into the first equation:  9t + 10(-4) = -112  9t - 40 = -112  9t = -72  t = -8  Thus, the solution is (-8, -4).

Solve the System of Linear Equations by Elimination