Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.
-3x + 5y = -10 -2x - 4y = 6
A) {(5, -1)}
B) {(1, -5)}
C) {(-5, 1)}
D) {(-1, 5)}

Question

Quizplus · Accepted Answer

To solve the system using the inverse of the coefficient matrix, we first write the system in matrix form as AX = B, where A = [[3, 5], [-2, -4]], X = [[x], [y]], and B = [[-10], [6]]. The inverse of A is calculated and then multiplied by B to find X. The solution is x = -5 and y = 1, which corresponds to choice C.

Solve the System Using the Inverse of the Coefficient Matrix