Solve P-50=.1(Q-4500)

$$P - 50 = .1 ( Q - 4500 )$$

Solve for P

$$P=\frac{Q}{10}-400$$

Solution Steps

Use the distributive property to multiply 0.1 by Q-4500.

$$P-50=0.1Q-450$$

Add 50 to both sides.

$$P=0.1Q-450+50$$

Add -450 and 50 to get -400.

$$P=0.1Q-400$$

Solve for Q

$$Q=10\left(P+400\right)$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.1 by Q-4500.

$$P-50=0.1Q-450$$

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

$$0.1Q-450=P-50$$

Add 450 to both sides.

$$0.1Q=P-50+450$$

Add -50 and 450 to get 400.

$$0.1Q=P+400$$

Multiply both sides by 10.

$$\frac{0.1Q}{0.1}=\frac{P+400}{0.1}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$Q=\frac{P+400}{0.1}$$

Divide P+400 by 0.1 by multiplying P+400 by the reciprocal of 0.1.

$$Q=10P+4000$$