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: 11



Work Step by Step

There are two equations that we can use: x-3y=0 and 5x+2y=0. Since none of them are solved for one variable, x-3y=0 will be solved in terms of x. x-3y=0 Add 3y to 0. x=3y Substitute x=3y into 5x+2y=0. 5(3y)+2y=0 Distribute. 15y+2y=0 Combine like terms. 17y=0 Divide both sides by 17. $\frac{17y}{17}$=$\frac{0}{17}$ y=0 Substitute y=0 into x=3y to solve for x. x=3y x=3(0) x=0 The ordered pair would then be (0,0) since x=0 and y=0
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