[tex]\begin{gathered} y=2x-10 \\ y=4x-8 \\ \text{Let:} \\ y=2x-10\text{ (1)} \\ y=4x-8\text{ (2)} \\ (2)-(1) \\ y-y=4x-2x-8+10 \\ 0=2x+2 \\ \text{Subtract 2 from both sides:} \\ -2=2x+2-2 \\ 2x=-2 \\ \text{Divide both sides by 2:} \\ \frac{2x}{2}=-\frac{2}{2} \\ x=-1 \\ \text{ Replace the value of x into (1)} \\ y=2(-1)-10 \\ y=-12 \end{gathered}[/tex]
