Solve {l}{6x-4y=20}{-6x=-6}

$$\left. \begin{array} { l } { 6 x - 4 y = 20 } \\ { - 6 x = - 6 } \end{array} \right.$$

Solve for x, y

$$x=1$$

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

Solution Steps

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

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

Divide -6 by -6 to get 1.

$$x=1$$

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

$$6\times 1-4y=20$$

Multiply 6 and 1 to get 6.

$$6-4y=20$$

Subtract 6 from both sides.

$$-4y=20-6$$

Subtract 6 from 20 to get 14.

$$-4y=14$$

Divide both sides by -4.

$$y=\frac{14}{-4}$$

Reduce the fraction \frac{14}{-4} to lowest terms by extracting and canceling out 2.

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

The system is now solved.

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