College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 555: 32

Answer

Consistent All real numbers in $x$ and $y$.

Work Step by Step

$3x - y = 7$ $(1)$ $9x -3y=21$ $(2)$ Multiply Equation $(1)$ by 3 $9x - 3y=21$ $(1)$ $9x -3y=21$ $(2)$ When you subtract the two equations, the equation is always true for any real value of $x$ and $y$; therefore the system is consistent.
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