Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - Chapter Test - Page 357: 5


$3x - 4y = -20$

Work Step by Step

To rewrite an equation in standard form, we use the following formula: $Ax + By = C$ For the equation $y = \frac{3}{4}x + 5$, we subtract $\frac{3}{4}x$ from both sides of the equation to isolate constants on one side of the equation: $-\frac{3}{4}x + y = 5$ Multiply all terms by $-1$ so that the $x$ term is not negative: $\frac{3}{4}x - y = -5$ To make all values integers, we multiply everything by the denominator of the fraction, which will make the fraction an integer: $4(\frac{3}{4}x - y) = 4(-5)$ Distribute terms first, according to order of operations: $\frac{12}{4}x - 4y = -20$ Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is $4$: $3x - 4y = -20$
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