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 - Mid-Chapter Quiz - Page 393: 2


Infinitely many solutions

Work Step by Step

$y=\frac{4}{3}x-2$ $3y-4x=-6$ $ \rightarrow 3y=4x-6$ $\rightarrow y=\frac{4}{3}x-2$ Since the lines have the same slope and y-intercept, the equations represent the same line. Any point on the line is a solution of the system, so there are infinitely many solutions.
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