Finite Math Examples

Solve for r 7/r=8/(r+5)
Step 1
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 2
Solve the equation for .
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Step 2.1
Simplify .
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Step 2.1.1
Rewrite.
Step 2.1.2
Simplify by adding zeros.
Step 2.1.3
Apply the distributive property.
Step 2.1.4
Multiply by .
Step 2.2
Move to the left of .
Step 2.3
Move all terms containing to the left side of the equation.
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Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Subtract from .
Step 2.4
Subtract from both sides of the equation.
Step 2.5
Divide each term in by and simplify.
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Step 2.5.1
Divide each term in by .
Step 2.5.2
Simplify the left side.
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Step 2.5.2.1
Dividing two negative values results in a positive value.
Step 2.5.2.2
Divide by .
Step 2.5.3
Simplify the right side.
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Step 2.5.3.1
Divide by .