Solve a-b=a/b - ScanMath

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Example problems

Type your math problem... a-b=a/b

Question

Solve the equation

Solve for a

Solve for b

a = \frac{b ^{2}}{b - 1}

Evaluate

a - b = \frac{a}{b}

Multiply both sides of the equation by LCD

(a - b) b = \frac{a}{b} \times b

Simplify the equation

More Steps

Evaluate

(a - b) b

Apply the distributive property

ab - b \times b

Multiply the terms

ba - b \times b

Multiply the terms

More Steps

Evaluate

- b \times b

Multiply the terms with the same base by adding their exponents

b^{1 + 1}

Add the numbers

- b^{2}

ba - b^{2}

ba - b^{2} = \frac{a}{b} \times b

Simplify the equation

ba - b^{2} = a

Move the variable to the left side

ba - b^{2} - a = 0

Collect like terms by calculating the sum or difference of their coefficients

(b - 1) a - b^{2} = 0

Move the constant to the right side

(b - 1) a = 0 + b^{2}

Removing 0 doesn't change the value,so remove it from the expression

(b - 1) a = b^{2}

Divide both sides

\frac{( b - 1 ) a}{b - 1} = \frac{b ^{2}}{b - 1}

Solution

a = \frac{b ^{2}}{b - 1}

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