Suzette ran and biked for a total of 34 miles in 3.5 hours. Her average running speed was 6 mph and her
average biking speed was 12.5 mph. Create a system of equations and use substitution to solve. (In your
answer, be sure to define your variables, show your steps, provide your answer in a complete sentence, and
check your solution.)
(a) How many hours did Suzette run?
(b) How many hours did she bike?

She ran for 1.5 hours and biked for 2 hours

Step by Step Solution:

Equation system:

6x + 12.5y = 34

x + y = 3.5

For the substitution part we can insert 'x' into the equation

To do this, we need to set the bottom equation to equal x

simply subtract y from both sides, once you do, it should look like this...

x = 3.5 - y

Now insert x into the top equation...

6(3.5 - y) + 12.5y = 34

Then distribute...

21 - 6y + 12.5y = 34

Simplify...

6.5y = 13

divide...

y = 2

Now you need to substitute y for the bottom equation...

x + 2 = 3.5

x = 1.5

So y = 2 and x = 1.5!

Thank me later :)

(or just give brainliest please)

The answer is "she ran for 1.5 hours and biked for 2 hours"

Step-by-step explanation:

this is just an immediate answer when you need it. no need for a good rating or anything.

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step-by-step explanation: