Core stretch A student says that $(4,1)$ solves $x+y=5$ and $2x-y=4$ because $4+1=5$. Explai

Question

Core stretch A student says that $(4,1)$ solves $x+y=5$ and $2x-y=4$ because $4+1=5$. Explain the error and find the correct solution.

Accepted Answer

$x=3,y=2$; the proposed pair fails the second equation.

Checking a proposed solution