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

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

Solve for x, y

$$x=32$$

$$y=20$$

Solution Steps

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

$$3x-30=2x+2$$

Subtract 2x from both sides.

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

Combine 3x and -2x to get x.

$$x-30=2$$

Add 30 to both sides.

$$x=2+30$$

Add 2 and 30 to get 32.

$$x=32$$

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.

$$y-30=-10$$

Add 30 to both sides.

$$y=-10+30$$

Add -10 and 30 to get 20.

$$y=20$$

The system is now solved.

$$x=32 y=20$$