Solve {r}{10x-5=150+15x}{150-15(6.2)=y}

$$\left. \begin{array} { r } { 10 x - 5 = 150 + 15 x } \\ { 150 - 15 ( 6.2 ) = y } \end{array} \right.$$

Solve for x, y

$$x=-31$$

$$y=57$$

Solution Steps

Consider the first equation. Subtract 15x from both sides.

$$10x-5-15x=150$$

Combine 10x and -15x to get -5x.

$$-5x-5=150$$

Add 5 to both sides.

$$-5x=150+5$$

Add 150 and 5 to get 155.

$$-5x=155$$

Divide both sides by -5.

$$x=\frac{155}{-5}$$

Divide 155 by -5 to get -31.

$$x=-31$$

Consider the second equation. Multiply 15 and 6.2 to get 93.

$$150-93=y$$

Subtract 93 from 150 to get 57.

$$57=y$$

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

$$y=57$$

The system is now solved.

$$x=-31 y=57$$