Question

A system of equations is shown below,y = 5x + 210x - 2y = 12what is the solution to the system of equations?

Answer 1

The equations are

`\begin{gathered} y=5x+2--i \\ 10x-2y=12--ii \end{gathered}`

Substitute equation i into ii, we have

`\begin{gathered} 10x-2(5x+2)=12 \\ 10x-10x-4=12 \\ -4=12 \end{gathered}`

This is not possible, so the system of equations has no solution.