Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 379: 41


$x=2, y=.5$

Work Step by Step

$\frac{2}{x}-\frac{3}{y} =-5$ $\frac{4}{x}+\frac{6}{y} =14$ $xy*(\frac{2}{x}-\frac{3}{y}) =xy*-5$ $xy*(\frac{4}{x}=\frac{6}{y}) =xy*14$ $2y-3x=-5xy$ $4y+6x=14xy$ $2*(2y-3x=-5xy)$ $4y+6x=14xy$ $4y-6x=-10xy$ $4y+6x=14xy$ $4y-6x+4y+6x=-10xy+14xy$ $8y=4xy$ $8y/4y=4xy/4y$ $2 = x$ $\frac{2}{x}-\frac{3}{y} =-5$ $\frac{2}{2}-\frac{3}{y} =-5$ $1-\frac{3}{y} =-5$ $1-\frac{3}{y}+5+\frac{3}{y} =-5+5+\frac{3}{y}$ $6 = 3/y$ $6*y/6=3/y*y/6$ $y=1/2$
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