Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Review - Page 328: 25

Answer

True for all values of $x$ and $y$.

Work Step by Step

equation 1 $$2x - 6y = -1$$ equation 2 $$-x + 3y =\frac{1}{2}$$ Multiply equation 2 by $2$: $$[-x + 3y =\frac{1}{2}]\cdot 2$$ $$-2x + 6y =1$$ Subtract this equation to equation 1: $$2x - 6y = -1$$ $$-2x + 6y =1$$ $$0=0$$ Then the system is true for all values of $x$ and $y$.
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