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How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?

Heather Maxwell

in Mathematics

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Dana Keller on February 6, 2019

For problems like these, we can establish that both sides of the equation equal to y. This is because both sides of the equation are equal to each other. If we were to take the left-hand side of the equation and set it equal to and, in the right-hand side would also be equal to y. In the same way, if we were to establish the right-hand side of the equation equal to y, the left-hand side of the equation would also be equal to y. Setting both equations equal to and will produce two equations which can be used in a system of equations.Therefore, our answer is:y = (1/6)x - 5y = (1/5)x + 2


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