Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises: 24

Answer

2 buses and 4 vans.

Work Step by Step

Let x be the number of buses and y be the number of vans. System of equations: x+y=6 51x+10y=142 y=6-x. Substitute y value into the second equation: 51x+10(6-x)=142 Distributive property: 51x+60-10x=142 Combine like terms and simplify: 41x=82 => x= 2 When x =2, then 51(2)+10y=142=> 102+10y=142. =>10y=40=>y=4
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