Solve 76=1.5b+c

$$76 = 1.5b+c$$

Solve for b

$$b=\frac{152-2c}{3}$$

Steps for Solving Linear Equation

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

$$1.5b+c=76$$

Subtract c from both sides.

$$1.5b=76-c$$

Divide both sides of the equation by 1.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.5b}{1.5}=\frac{76-c}{1.5}$$

Dividing by 1.5 undoes the multiplication by 1.5.

$$b=\frac{76-c}{1.5}$$

Divide 76-c by 1.5 by multiplying 76-c by the reciprocal of 1.5.

$$b=\frac{152-2c}{3}$$

Solve for c

$$c=-\frac{3b}{2}+76$$

Solution Steps

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

$$1.5b+c=76$$

Subtract 1.5b from both sides.

$$c=76-1.5b$$