Solve 2(x-150)=5(3y+50)

$$2(x-150)=5(3y+50)$$

Solve for x

$$x=\frac{15y}{2}+275$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-150.

$$2x-300=5\left(3y+50\right)$$

Use the distributive property to multiply 5 by 3y+50.

$$2x-300=15y+250$$

Add 300 to both sides.

$$2x=15y+250+300$$

Add 250 and 300 to get 550.

$$2x=15y+550$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{15y+550}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{15y+550}{2}$$

Divide 15y+550 by 2.

$$x=\frac{15y}{2}+275$$

Solve for y

$$y=\frac{2\left(x-275\right)}{15}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-150.

$$2x-300=5\left(3y+50\right)$$

Use the distributive property to multiply 5 by 3y+50.

$$2x-300=15y+250$$

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

$$15y+250=2x-300$$

Subtract 250 from both sides.

$$15y=2x-300-250$$

Subtract 250 from -300 to get -550.

$$15y=2x-550$$

Divide both sides by 15.

$$\frac{15y}{15}=\frac{2x-550}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$y=\frac{2x-550}{15}$$

Divide -550+2x by 15.

$$y=\frac{2x}{15}-\frac{110}{3}$$