Solve {l}{-6x=-4}{y-2x=8}{0(-1/2,7)}{0(12/8,11)}

$$\left. \begin{array} { l } { - 6 x = - 4 } \\ { y - 2 x = 8 } \\ { 0 ( - \frac { 1 } { 2 } , 7 ) } \\ { 0 ( \frac { 12 } { 8 } , 11 ) } \end{array} \right.$$

Solve for x, y

$$x=\frac{2}{3}\approx 0.666666667$$

$$y = \frac{28}{3} = 9\frac{1}{3} \approx 9.333333333$$

Solution Steps

Consider the first equation. Divide both sides by -6.

$$x=\frac{-4}{-6}$$

Reduce the fraction \frac{-4}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{2}{3}$$

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

$$y-2\times \frac{2}{3}=8$$

Multiply -2 and \frac{2}{3} to get -\frac{4}{3}.

$$y-\frac{4}{3}=8$$

Add \frac{4}{3} to both sides.

$$y=8+\frac{4}{3}$$

Add 8 and \frac{4}{3} to get \frac{28}{3}.

$$y=\frac{28}{3}$$

The system is now solved.

$$x=\frac{2}{3} y=\frac{28}{3}$$