Solve {l}{3(x-10)=2x-10}{3(y+10)=2y+10}

$$\left\{ \begin{array} { l } { 3 ( x - 10 ) = 2 x - 10 } \\ { 3 ( y + 10 ) = 2 y + 10 } \end{array} \right.$$

Solve for x, y

$$x=20$$

$$y=-20$$

Solution Steps

Consider the first equation. Use the distributive property to multiply 3 by x-10.

$$3x-30=2x-10$$

Subtract 2x from both sides.

$$3x-30-2x=-10$$

Combine 3x and -2x to get x.

$$x-30=-10$$

Add 30 to both sides.

$$x=-10+30$$

Add -10 and 30 to get 20.

$$x=20$$

Consider the second equation. Use the distributive property to multiply 3 by y+10.

$$3y+30=2y+10$$

Subtract 2y from both sides.

$$3y+30-2y=10$$

Combine 3y and -2y to get y.

$$y+30=10$$

Subtract 30 from both sides.

$$y=10-30$$

Subtract 30 from 10 to get -20.

$$y=-20$$

The system is now solved.

$$x=20 y=-20$$