AlgebraEasy–MediumPoint with related coordinates on a line
Algebra practice question
The point (a, 2a) lies on the graph of 3x + 4y = 44. What is the value of a?
Answer: 4
Substitute (a, 2a): 3a + 8a = 44, so 11a = 44 and a = 4.
Common wrong answers
- If you answered 8
- 8a is just the y-term's contribution; the full equation is 11a = 44.
- If you answered 11
- 11 is the combined coefficient (3 + 8); divide 44 by it to get a = 4.
- If you answered 6.28
- Set up 3a + 4(2a) = 44 — the y-coordinate is 2a, so the y-term is 8a.
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