SOLUTION: An employment agency specalizing in temporary construction help pays heavy equipment operators $123 per day and general laborers $87 per day. If thirty two people were hired and th

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Question 1048715: An employment agency specalizing in temporary construction help pays heavy equipment operators $123 per day and general laborers $87 per day. If thirty two people were hired and the payroll was $3900, how many heavy equipment operators were employed? How many laborers?
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=32
123x%2B87y=3900
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+32%2C%0D%0A++++123%5Cx+%2B+87%5Cy+=+3900+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+32+-+1%2Ay, or x+=+32%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
123%2A%2832%2F1+-+1%2Ay%2F1%29+%2B+87%5Cy+=+3900 and simplify: So, we know that y=1. Since x+=+32%2F1+-+1%2Ay%2F1, x=31.

Answer: system%28+x=31%2C+y=1+%29.