## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 383: 39

#### Answer

Horseback riding is 30 dollars per hour and parasailing is 51 dollars per hour.

#### Work Step by Step

Using the information given, create two equations:3x+2y=192 and 2x+3y=213. X represents horseback riding and y represents parasailing. Multiply the first equation by 2 and the second by -3: 2(3x+2y=192) 6x+4y=384 --- -3(2x+3y=213) -6x-9y=-639. Combine the two equations: 6x+4y=384 -6x-9y=-639 -5y=-255 -->divide both sides by -5 y=51 Plug in y=51 into one of the equations: 3x+2(51)=192 3x+102=192 3x=90 x=30 Check your work: 3(30)+2(51)=192 90+102=192 192=192 Horse riding is 30 dollars per hour and parasailing is 51 dollars per hour

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