Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - Chapter Review: 5

Answer

Inconsistent

Work Step by Step

Simplify each equation to slope-intercept form by isolating $y$ on the left side: $6y=-2x+8 \\\frac{6y}{6}=\frac{-2x+8}{6} \\y=-\frac{1}{3}x+\frac{8}{6} \\y=-\frac{1}{3}x + \frac{4}{3}$ Other equation: $12y=-4x+4 \\\frac{12y}{12}=\frac{-4x+4}{12} \\y=-\frac{1}{3}x +\frac{1}{3}$ The lines have same slope but different y-intercepts. Thus, they are distinct parallel lines making the system inconsistent.
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