College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises: 5

Answer

(a) true (b) false (if number is 0) (c) true

Work Step by Step

(a) This is true, since $a=b$ is equivalent to $a+y=b+y$. (b) This is true if the number is non-zero, since $a=b$ is the same as $a*x=b*x$. But if the number is 0, the equation will remain true, but will not be equivalent. (c) This is false, since squaring removes negatives. For example $-1=1$ is false, but $(-1)^2=(1)^2$ is true.
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