1. Suzette ran and biked for a total of 60 mi in 6 h. Her average running speed was 4 mph and her average biking speed was 12 mph.
Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
Use substitution to solve for x and y. Show your work. Check your solution.
(a) How many hours did Suzette run?
(b) How many hours did she bike?
+8 first things first, you need two equations
the two equations are 4x+12y=60 and x+y=6
then you want to simplify like dividing the first equation by 4
so it would be x+3y=15
now you want to subtract the other equation from it to get rid
of x so now it would be 0x+2y=9
then we simplify again so 2y/2=9/2
and it would be y=4.5
now we replace y with 4.5 in one of the equations (I did the second one
but you'll get the same answer if you do the first) so it would be x+4.5=6
than subtract 4.5 from both sides and your done and that leaves you with
1.5 hours runing and 4.5 hours biking
+8 first things first, you need two equations
the two equations are 4x+12y=60 and x+y=6
then you want to simplify like dividing the first equation by 4
so it would be x+3y=15
now you want to subtract the other equation from it to get rid
of x so now it would be 0x+2y=9
then we simplify again so 2y/2=9/2
and it would be y=4.5
now we replace y with 4.5 in one of the equations (I did the second one
but you'll get the same answer if you do the first) so it would be x+4.5=6
than subtract 4.5 from both sides and your done and that leaves you with
1.5 hours runing and 4.5 hours biking
