Solve {l}{3y-y=7}{-6x+2y=8}

$$\left. \begin{array} { l } { 3 y - y = 7 } \\ { - 6 x + 2 y = 8 } \end{array} \right.$$

Solve for y, x

$$x=-\frac{1}{6}\approx -0.166666667$$

$$y = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Solution Steps

Consider the first equation. Combine 3y and -y to get 2y.

$$2y=7$$

Divide both sides by 2.

$$y=\frac{7}{2}$$

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

$$-6x+2\times \frac{7}{2}=8$$

Multiply 2 and \frac{7}{2} to get 7.

$$-6x+7=8$$

Subtract 7 from both sides.

$$-6x=8-7$$

Subtract 7 from 8 to get 1.

$$-6x=1$$

Divide both sides by -6.

$$x=-\frac{1}{6}$$

The system is now solved.

$$y=\frac{7}{2} x=-\frac{1}{6}$$