## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Standardized Test Prep - Page 380: 48

105 feet

#### Work Step by Step

f= fire truck, m = ambulance $3f+4m +6=152$ $2f+5m+6 = 136$ $3f+4m +6-6=152-6$ $2f+5m+6 -6= 136-6$ $3f+4m = 146$ $2f+5m = 130$ $-2*(3f+4m = 146)$ $3*(2f+5m = 130)$ $-6f-8m =-292$ $6f+15m=390$ $-6f-8m+6f+15m =-292 + 390$ $7m = 98$ $7m/7=98/7$ $m=14$ $3f+4m=146$ $3f+4*14 = 146$ $3f+56 = 146$ $3f+56-56 = 146-56$ $3f=90$ $3f/3=90/3$ $f=30$ $30*1+5+14*5 = 30+5+70$ $30+5+70 = 105$

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