Algebra 1: Common Core (15th Edition)

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

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Lesson Check - Page 381: 3

Answer

$x=\frac{7}{25}$ $y=\frac{21}{50}$

Work Step by Step

$3x−2y=1$ (1) $8x+3y=2$ (2) Multiply equation (1) by $3$, and multiply equation (2) by $2$. $9x−6y=3$ (1) $16x+6y=4$ (2) Since the difference of the coefficients of y is 0, eliminate y. $25x=7$ $x=\frac{7}{25}$ $y=\frac{21}{50}$
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