Solve 4/20-25/b=1

$$\frac { 4 } { 20 } - \frac { 25 } { b } = 1$$

Solve for b

$$b = -\frac{125}{4} = -31\frac{1}{4} = -31.25$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 20b, the least common multiple of 20,b.

$$b\times 4-20\times 25=20b$$

Multiply -20 and 25 to get -500.

$$b\times 4-500=20b$$

Subtract 20b from both sides.

$$b\times 4-500-20b=0$$

Combine b\times 4 and -20b to get -16b.

$$-16b-500=0$$

Add 500 to both sides. Anything plus zero gives itself.

$$-16b=500$$

Divide both sides by -16.

$$b=\frac{500}{-16}$$

Reduce the fraction \frac{500}{-16} to lowest terms by extracting and canceling out 4.

$$b=-\frac{125}{4}$$