document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #664301 by advanced_Learner(501) $\"\"$ $\"About$

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$\"x%2By\"$ = $\"32\"$
\n" ); document.write( " $\"123x%2B87y\"$ = $\"3900\"$
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+32%2C%0D%0A++++123%5Cx+%2B+87%5Cy+=+3900+%29%0D%0A++\"$ We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+32+-+1%2Ay\"$ , or $\"x+=+32%2F1+-+1%2Ay%2F1\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"123%2A%2832%2F1+-+1%2Ay%2F1%29+%2B+87%5Cy+=+3900\"$ and simplify: So, we know that y=1. Since $\"x+=+32%2F1+-+1%2Ay%2F1\"$ , x=31.
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\n" ); document.write( " Answer: $\"system%28+x=31%2C+y=1+%29\"$ .
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