###### Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Solving a Linear System in Three Variables with a Solution - Concept

# Solving a System of Linear Equations in Two Variables - Problem 18

Alissa Fong
###### Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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There is a shortcut formula for solving work word problems, but it relies heavily on your ability to work with fractions: total time for one job = 1 divided by (the sum of 1/time plus 1/time) . Essentially, you find how much time it takes for each person working alone, and plug those values into this new "triple fraction" that you will need to solve. Start by finding a common denominator of the very bottom, then combine those two fractions into one, and then use the reciprocals to solve for the total time needed to complete the job for both individuals working together.

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