Algebra 2ChallengeSystems of Equations

Systems of Equations · Challenge problem

Three equations, only two unknowns. Solve the first two for $x$ and $y$ , then give the value $h$ must take for the third equation to hold as well.

\begin{aligned} x + 5 y = m \\ 2 x + y = n \\ 3 x + 6 y = h \end{aligned}