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 1B

Answer

$(3, 1/3)$ Elimination was more efficient. Please see the graph.
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Work Step by Step

$7x-3y = 20$ $5x+3y = 16$ $(7x+5x-3y+3y) = 20+16$ $12 x = 36$ $12x/12 = 36/12$ $x = 3$ $5x + 3y = 16$ $5*3+3y = 16$ $15 + 3y = 16$ $15 + 3y - 15 = 16-15$ $3y = 1$ $3y/3 = 1/3$ $y= 1/3$ The graph was made using graphing software. Red line: $5x+3y=16$ Black line: $7x-3y=20$
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