Rearrange formulas to isolate a chosen quantity and interpret the result.
Rearrange a linear formula with subtraction or a negative coefficient to solve for a chosen variable
Problem
Rearrange \(y~=~-3x~+~b\) to solve for \(x\).
Big Picture
What this problem is really about
The negative coefficient makes sign tracking the central issue. We’ll move the constant away from the target term, divide by the full signed coefficient, and then rewrite the negative quotient by reversing a difference only if that makes the form clearer. Substituting back into the starting formula will expose any lost sign immediately.
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