AlgebraMediumEliminating a variable by adding equations
Algebra practice question
If 4x − 3y = 6 and 2x + 3y = 12, what is the value of y?
Answer: 2
The y terms are opposites, so add the equations: 6x = 18, x = 3. Substitute into the second: 2(3) + 3y = 12, so 3y = 6 and y = 2. Check the first: 4(3) − 3(2) = 6.
Common wrong answers
- If you answered 3
- 3 is x. The question asks for y: put x = 3 back into either equation to get y = 2.
- If you answered 5
- 5 is x + y. The question asks for y alone.
- If you answered 6
- 6 is the right side of the first equation (or 3y). Solve 3y = 6 to get y = 2.
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