Solve simple linear-quadratic systems algebraically and graphically.
Verify whether an ordered pair is a solution to a linear-quadratic system
Problem
Verify whether the point \((2,~4)\) solves the system \(y~=~x^2\) and \(y~=~x~+~2\).
Big Picture
What this problem is really about
Verification is a two-equation test, not a new system-solving problem. We’ll read the ordered pair as its x- and y-coordinates, substitute those same values into the quadratic and the line independently, and accept the point only if both resulting statements are true.
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