Solve two-step equations and justify each inverse operation.
Match solutions across several two-step equations
Problem
Substitute \(x~=~3\) into \(\text{every}~\text{equation}\) below. Report the complete set of labels for the equations made true by that value.
A. \(4x~-~5~=~7\) B. \(2x~+~9~=~15\) C. \(x/2~+~4~=~5.5\) D. \(5x~-~6~=~8\) E. \(3(x~+~1)~=~12\)
Big Picture
What this problem is really about
Use the given value as a test input for every equation. Substitute three for each x, honor grouping and operation order, and simplify each entire left side before comparing it with the right side. Record every true equality, since several differently structured equations can share the same solution.
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