Solve a 2x2 System with Fractional Answer
Mediumsystems of equationselimination
Solve the system:
- Ax = 2, y = 5
- Bx = 4, y = 2
- Cx = 3, y = 3.5
- Dx = 3, y = 2.5
Show solutionHide solution
Answer: C. x = 3, y = 3.5
Multiply the first equation by 2: 6x + 4y = 32. Add it to 5x − 4y = 1 so y cancels: 11x = 33, x = 3. Then 3(3) + 2y = 16 gives y = 3.5. Check: 5(3) − 4(3.5) = 15 − 14 = 1. TI-36X Pro tip: press 2nd, sys-solv, choose 2x2 LIN EQUs, enter 3, 2, 16 and 5, −4, 1, then SOLVE to get x = 3, y = 3.5. Use (−) for negative entries.
Practice this deckUntimed, one problem at a time, with your progress saved.
Related problems
- No-Solution Condition for a Linear System · Math & Statistics Refresher
- Derivative of a Cubic Function at a Point · Math & Statistics Refresher
- Definite Integral of a Polynomial · Math & Statistics Refresher