Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.
Verify whether an ordered pair solves a system
Problem
Verify whether \((3,2)\) solves the system \(x~+~y~=~5\), \(x~-~y~=~1\).
Big Picture
What this problem is really about
An ordered pair solves a system only if it makes every equation true. We’ll preserve the x-then-y coordinate roles, substitute into each equation exactly as written, and compare each resulting left side with its own right side. One false equality rejects the pair, while membership follows only after every check succeeds.
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