Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 818: 12



Work Step by Step

There are two equations that we can use: 2x-y=0 and 4x+3y=0. Since none of them are solved for one variable, 2x-y=0 will be solved in terms of x. 2x-y=0 Add y to 0. 2x=y Substitute y=2x into 4x+3y=0. 4x+3(2x)=0 Distribute. 4x+6x=0 Combine like terms. 10x=0 Divide both sides by 10. $\frac{10y}{10}$=$\frac{0}{10}$ x=0 Substitute x=0 into x=2y to solve for y. y=2x y=2(0) y=0 The ordered pair would then be (0,0) since x=0 and y=0
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