Solve b+1.5x+4y+3.5=28

$$b + 1.5 x + 4 y + 3.5 = 28$$

Solve for b

$$b=-\frac{3x}{2}-4y+24.5$$

Solution Steps

Subtract 1.5x from both sides.

$$b+4y+3.5=28-1.5x$$

Subtract 4y from both sides.

$$b+3.5=28-1.5x-4y$$

Subtract 3.5 from both sides.

$$b=28-1.5x-4y-3.5$$

Subtract 3.5 from 28 to get 24.5.

$$b=24.5-1.5x-4y$$

Solve for x

$$x=\frac{49-2b-8y}{3}$$

Steps for Solving Linear Equation

Subtract b from both sides.

$$1.5x+4y+3.5=28-b$$

Subtract 4y from both sides.

$$1.5x+3.5=28-b-4y$$

Subtract 3.5 from both sides.

$$1.5x=28-b-4y-3.5$$

Subtract 3.5 from 28 to get 24.5.

$$1.5x=24.5-b-4y$$

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

$$\frac{1.5x}{1.5}=\frac{24.5-b-4y}{1.5}$$

Dividing by 1.5 undoes the multiplication by 1.5.

$$x=\frac{24.5-b-4y}{1.5}$$

Divide 24.5-b-4y by 1.5 by multiplying 24.5-b-4y by the reciprocal of 1.5.

$$x=\frac{49-2b-8y}{3}$$