Solve {l}{-y=(x-1)0}{y=2x-2}

$$\left\{ \begin{array} { l } { - y = ( x - 1 ) 0 } \\ { y = 2 x - 2 } \end{array} \right.$$

Solve for y, x

$$x=1$$

$$y=0$$

Solution Steps

Consider the first equation. Anything times zero gives zero.

$$-y=0$$

Divide both sides by -1. Zero divided by any non-zero number gives zero.

$$y=0$$

Consider the second equation. Insert the known values of variables into the equation.

$$0=2x-2$$

Swap sides so that all variable terms are on the left hand side.

$$2x-2=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$2x=2$$

Divide both sides by 2.

$$x=\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$x=1$$

The system is now solved.

$$y=0 x=1$$