Solve for R
R=30
Quiz
Linear Equation
5 problems similar to:
\frac { 1 } { 50 } + \frac { 1 } { 75 } = \frac { 1 } { R }
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150R\times \frac{1}{50}+150R\times \frac{1}{75}=150
Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 150R, the least common multiple of 50,75,R.
\frac{150}{50}R+150R\times \frac{1}{75}=150
Multiply 150 and \frac{1}{50} to get \frac{150}{50}.
3R+150R\times \frac{1}{75}=150
Divide 150 by 50 to get 3.
3R+\frac{150}{75}R=150
Multiply 150 and \frac{1}{75} to get \frac{150}{75}.
3R+2R=150
Divide 150 by 75 to get 2.
5R=150
Combine 3R and 2R to get 5R.
R=\frac{150}{5}
Divide both sides by 5.
R=30
Divide 150 by 5 to get 30.
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