Percy works two part-time jobs to pay for college classes. on monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. on tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. his hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below. 3x + 2y = 36.50 2x + 5y = 50.00 at which job does percy earn the greater hourly wage? how much does percy earn each hour at this job? percy earns a greater hourly wage of $7.00 at the library. percy earns a greater hourly wage of $7.00 at the coffee cart. percy earns a greater hourly wage of $7.50 at the library. percy earns a greater hourly wage of $7.50 at the coffee cart.

x = library

y = coffee shop

Monday: 3x + 2y = 36.50
Tuesday: 2x + 5y = 50

use substitution or elimination. It's easier to use elimination by multiplying the 2nd equation by 1.5. Doing that we get 1.5(2x + 5y = 50) = 3x + 7.5y = 75

So the two equations are now:
3x + 7.5y = 75

3x + 2y = 36.50

Subtract and we have

5.5y = 38.5

y=38.5/5.5 = 7

Now put 7 back into either equation to solve for x

3x + 2y = 36.50

3x+2(7) =36.50
3x+14 =36.50
3x=22.50

X= 22.50/3 = 7.50

 He earns 7.50 at the library

He earns 7.00 at the coffee cart

Check:

3(7.50) + 2(7) = 36.50 = 22.50 + 14 = 36.50 TRUE

2(7.50) + 5(7) = 50 = 15 +35 = 50 TRUE

 He earns a greater hourly wage of 7.50 at the library

The answer is C

Step-by-step explanation:

n

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this