AlgebraMediumSystems by substitution
Algebra practice question
If y = 2x − 1 and 3x + y = 14, what is the value of x?
Answer: 3
Substitute y = 2x − 1 into the second equation: 3x + (2x − 1) = 14, so 5x − 1 = 14, giving 5x = 15 and x = 3. Substitution shines when one variable is already isolated.
Common wrong answers
- If you answered 5
- That's the value of y (2·3 − 1 = 5). The question asks for x, which is 3.
- If you answered 15
- That's 5x, not x — you stopped one step early and still need to divide 15 by 5.
- If you answered 2.6
- You substituted but flipped the sign of the −1: 3x + (2x − 1) gives 5x − 1 = 14, not 5x + 1 = 14.
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