Solve {l}{y=6x-2}{y=0}

$$\left\{ \begin{array} { l } { y = 6 x - 2 } \\ { y = 0 } \end{array} \right.$$

Solve for y, x

$$x=\frac{1}{3}\approx 0.333333333$$

$$y=0$$

Solution Steps

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

$$0=6x-2$$

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

$$6x-2=0$$

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

$$6x=2$$

Divide both sides by 6.

$$x=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{3}$$

The system is now solved.

$$y=0 x=\frac{1}{3}$$