Question

Solve the system by substitution

Answer 1

`\boxed{\begin{array}{llll} y=2x\\ y=10x-16 \end{array}}\hspace{5em} \begin{array}{llll} \stackrel{\textit{substituting from the 1st equation}}{\stackrel{y}{2x}=10x-16\implies 0=8x-16} \\\\\\ 16=8x\implies \cfrac{16}{8}=x\implies \boxed{2=x} \\\\\\ \stackrel{\textit{substituting in the 1st equation}}{y=2(2)\implies \boxed{y=4}}\end{array}`