Solve {l}{5x-2y=2}{-5x-15=-80}

$$\left. \begin{array} { l } { 5 x - 2 y = 2 } \\ { - 5 x - 15 = - 80 } \end{array} \right.$$

Solve for x, y

$$x=13$$

$$y = \frac{63}{2} = 31\frac{1}{2} = 31.5$$

Solution Steps

Consider the second equation. Add 15 to both sides.

$$-5x=-80+15$$

Add -80 and 15 to get -65.

$$-5x=-65$$

Divide both sides by -5.

$$x=\frac{-65}{-5}$$

Divide -65 by -5 to get 13.

$$x=13$$

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

$$5\times 13-2y=2$$

Multiply 5 and 13 to get 65.

$$65-2y=2$$

Subtract 65 from both sides.

$$-2y=2-65$$

Subtract 65 from 2 to get -63.

$$-2y=-63$$

Divide both sides by -2.

$$y=\frac{-63}{-2}$$

Fraction \frac{-63}{-2} can be simplified to \frac{63}{2} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{63}{2}$$

The system is now solved.

$$x=13 y=\frac{63}{2}$$