Solve 60+90(x-1)=130+80(y-1)

$$60 + 90 ( x - 1 ) = 130 + 80 ( y - 1 )$$

Solve for x

$$x=\frac{8\left(y+1\right)}{9}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 90 by x-1.

$$60+90x-90=130+80\left(y-1\right)$$

Subtract 90 from 60 to get -30.

$$-30+90x=130+80\left(y-1\right)$$

Use the distributive property to multiply 80 by y-1.

$$-30+90x=130+80y-80$$

Subtract 80 from 130 to get 50.

$$-30+90x=50+80y$$

Add 30 to both sides.

$$90x=50+80y+30$$

Add 50 and 30 to get 80.

$$90x=80+80y$$

The equation is in standard form.

$$90x=80y+80$$

Divide both sides by 90.

$$\frac{90x}{90}=\frac{80y+80}{90}$$

Dividing by 90 undoes the multiplication by 90.

$$x=\frac{80y+80}{90}$$

Divide 80+80y by 90.

$$x=\frac{8y+8}{9}$$

Solve for y

$$y=\frac{9x}{8}-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 90 by x-1.

$$60+90x-90=130+80\left(y-1\right)$$

Subtract 90 from 60 to get -30.

$$-30+90x=130+80\left(y-1\right)$$

Use the distributive property to multiply 80 by y-1.

$$-30+90x=130+80y-80$$

Subtract 80 from 130 to get 50.

$$-30+90x=50+80y$$

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

$$50+80y=-30+90x$$

Subtract 50 from both sides.

$$80y=-30+90x-50$$

Subtract 50 from -30 to get -80.

$$80y=-80+90x$$

The equation is in standard form.

$$80y=90x-80$$

Divide both sides by 80.

$$\frac{80y}{80}=\frac{90x-80}{80}$$

Dividing by 80 undoes the multiplication by 80.

$$y=\frac{90x-80}{80}$$

Divide -80+90x by 80.

$$y=\frac{9x}{8}-1$$