Which Equation Is Impossible?

Algebra Level 2

If x + 2 y = 3 x + 2y = 3 , then which of the following cannot be true?

5 x + y = 6 5x + y = 6 3 x + 4 y = 7 3x + 4y = 7 2 x + 4 y = 5 2x + 4y = 5 4 x + 5 y = 8 4x + 5y = 8

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Steven Chase
Oct 15, 2016

We're essentially asking whether the two lines can intersect. The only line that can't intersect the first line is the one that has the same slope (ratio of x coefficient to y coefficient).

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