AlgebraHardPoint on a line with equal coordinates
Algebra practice question
In the xy-plane, the line 2x + 3y = 12 contains exactly one point whose x- and y-coordinates are equal. What is the x-coordinate of that point?
Answer: 2.4 or 12/5
With y = x, 5x = 12 gives x = 2.4.
Common wrong answers
- If you answered 4
- 4 is the y-intercept.
- If you answered 6
- 6 is the x-intercept.
- If you answered 12
- 12 copies the constant.
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