SOLUTION: During one week, two machines produce a total of 27 210 parts, with the faster machine working for 37.5 h and the slower for 28.2 h. During another week, they produce 59 830 parts,

Question 1146597: During one week, two machines produce a total of 27 210 parts, with the faster machine working for 37.5 h and the slower for 28.2 h. During another week, they produce 59 830 parts, with the faster machine working 66.5 h and the slower machine working 88.6 h. How many parts can each, working
alone, produce in an hour?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x, the slow machine
y, the fast machine
those rates in PARTS per HOUR

Simplify and solve the system.

- - - -

A possible way but not the only way to start solving the system:
From first equation

subst. to second equation

and you should be able to figure the rest and to finish.
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