Question

The matrix below represents a system of equations.

2 -1 1 5
1 1 -1 -2
1 0 -3 -5

What is the solution to this system of equations?
a = 1, b = –1, c = 2
a = 1.5, b = –1, c = 2
a = 2.5, b = –3, c = 2
a = 3, b = –3, c = 2

Answer 1

The solution is a = 1, b = −1, c = 2.

Check:
2(1) − (−1) + 2 = 2 + 1 + 2 = 5,
1 + (−1) − 2 = −2,
1 + 0 − 3(2) = 1 − 6 = −5.