Given the equations c = 6x + 7 and r = 25 - 3x, determine the value of x for which c equals r.

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Explanation

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Official Explanation

Official

To find the value of x that makes c equal to r, we set the equations equal to each other: 6x + 7 = 25 - 3x.

First, we subtract 7 from both sides: 6x = 18 - 3x.…

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What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.