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?

Guest Nov 15, 2019

#1**+1 **

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

ChessPlayer Nov 15, 2019

#1**+1 **

Best Answer

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

ChessPlayer Nov 15, 2019