Question 206102
1. First set up 2 equations
- {{{6v+9b = 459}}} 
- {{{3v+7b = 337}}}
2. Then change one of the equations so that when combined one of the variables will cancel out
- {{{6v+9b = 459}}} 
- {{{-2(3v+7b) = (337)(-2)}}}
- {{{-6v-14b = -674}}}
so...
- {{{6v+9b = 459}}}
- {{{-6v-14b = -674}}}
+______________________
= {{{0-5b = -215}}}
a. Then solve for b
- {{{-5b = -215}}}
- {{{(-1/5)((-5b)/1) = (-215)/(-5)}}}
= {{{b = 43}}}
3. So each bus holds 43 kids
4. Now plug in b=43 into the first equation and solve for v
- {{{6v+9(43) = 459}}} 
- {{{6v + 387 = 459}}}
- {{{6v +387-387 = 459-387}}}
- {{{6v = 72}}}
- {{{6v/6 = 72/6}}}
= {{{v = 12}}}
5. So each van holds 12 kids
6. your answer is b = 43 and v = 12