Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations in Two Variables - Exercise Set - Page 212: 46

Answer

x=0 y=0 (0,0)

Work Step by Step

$3x+4y=0$ $7x=3y$ Solve for x in the second equation. $7x=3y\longrightarrow$ Divide both sides by 7. $7x\div7=3y\div7\longrightarrow$ Simplify. $x=\frac{3}{7}y$ Substitute for x in the first equation. Solve for y. $3(\frac{3}{7}y)+4y=0\longrightarrow$ Simplify. $(\frac{9}{7}y)+4y=0\longrightarrow$ Simplify. $5\frac{2}{7}y=0$ $y=0$ Substitute for y in the second equation. Solve for x. $7x+3(0)\longrightarrow$ Simplify. $7x=0\longrightarrow$ Simplify. $x=0$
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