Solve a 2x2 Linear System by Elimination
Easysystems of equationselimination
Solve the system:
- Ax = 2, y = 3
- Bx = 3, y = 1
- Cx = 1, y = 5
- Dx = 4, y = −1
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Answer: B. x = 3, y = 1
Add the two equations so y cancels: 3x = 9, so x = 3. Substitute into x − y = 2: y = 1. Check in the first equation: 2(3) + 1 = 7. Note x = 2, y = 3 satisfies only the first equation. TI-36X Pro tip: press 2nd, sys-solv, choose 2x2 LIN EQUs, enter the coefficients 2, 1, 7 and 1, −1, 2, then SOLVE. It returns x = 3, y = 1.
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