Question

Solve each system of equationsy=-x + 16y=-x - 8

Answer 1

Solving the simultaneous equation using the substitution method,

`\begin{gathered} y=x+16\text{ equation (1)} \\ y=x-8\text{ equation (2)} \end{gathered}`

Substituting equation (2) into equation (1),

Replace y with x-8 in equation (1),

`\begin{gathered} x-8=x+16 \\ x-x=16+0 \\ 0=16 \\ \text{Therefore, no solution.} \end{gathered}`

Hence, the question has no solution.