AlgebraEasy–MediumElimination then back-substitution
Algebra practice question
In the system 5x + 2y = 24 and 3x + 2y = 16, what is the value of y?
Answer: 2
Subtracting the equations: 2x = 8, so x = 4. Then 5(4) + 2y = 24 gives 2y = 4, so y = 2.
Common wrong answers
- If you answered 4
- 4 is x; substitute it back to find y = 2.
- If you answered 8
- 8 is 2x after subtracting; continue to x = 4, then y = 2.
- If you answered 10
- After x = 4, the equation is 20 + 2y = 24, so 2y = 4.
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