Solve a 2×2 system
Guided practice — solve each problem, check, then generate a fresh one.
Formula to apply
a x + b y = e c x + d y = f
Problem
Solve the system:
3x + 4y = -11
2x + 3y = -8
Working
- 1det = a·d − b·c = 3·3 − 4·(2) = 1.
- 2x = (e·d − b·f)/det = (-11·3 − 4·-8)/1 = -1.
- 3y = (a·f − e·c)/det = (3·-8 − -11·(2))/1 = -2.