Algebra 1

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

Chapter 6 - Systems of Equations and Inequalities - Put it All Together - Page 403: Task 1A

Answer

$(-5, -2)$ Graphing was a more efficient method. (Please see the graph)
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Work Step by Step

$3x-9y = 3$ $6x-3y = -24$ $-3*(6x-3y = -24)$ $-18x + 9y = 72$ $3x-9y = 3$ $-18x+9y = 72$ $(3x-18x -9y+9y) = (3+72)$ $-15x = 75$ $-15x/-15 = 75/-15$ $x = -5$ $3x-9y =3$ $3*-5 -9y = 3$ $-15 -9y = 3$ $-15-9y+15 = 3+15$ $-9y = 18$ $-9y/-9 = 18/-9$ $y = -2$ The graph was made using graphing software. Orange line: $3x-9y=3$ Purple line: $6x-3y=-24$
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