Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - 3.1 Exercises: 33

Answer

$x=2$ $y=6$

Work Step by Step

The second equation is already solved for $y$, then we have to substitute this expression into the first equation: $3x=y$ First equation: $\frac{1}{2}x+\frac{1}{3}(3x)=3$ $\frac{3}{2}x=3$ $x=2$ $y=3x=3(2)=6$ We need to check, if it is the right solution, we substitute x with $2$ and y with $6$: $\frac{1}{2}(2)+\frac{1}{3}(6)=1+2=3$ $\checkmark$ $6=3(2)$ $\checkmark$
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