document.write( "Question 231292: when Samantha baby-sat for 8 hours and worked at a restaurant for 3 hours, she made 58 dollars. When she baby-sat for 2 hors and worked at a restaurant for 5 hours, she made 40 dollars. How much does she get paid per hour to baby-sit? How much does she get paid per hour to work at a restaurant?
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Algebra.Com's Answer #171222 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = hourly pay baby-sitting
\n" ); document.write( "Let $\"b\"$ = hourly pay in restaurant
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"8a+%2B+3b+=+58\"$
\n" ); document.write( "(2) $\"2a+%2B+5b+=+40\"$
\n" ); document.write( "These are 2 equations and 2 unknowns, so it's solvable
\n" ); document.write( "Multiply both sides of (2) by $\"4\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"8a+%2B+20b+=+160\"$
\n" ); document.write( "(1) $\"-8a+-+3b+=+-58\"$
\n" ); document.write( " $\"17b+=+102\"$
\n" ); document.write( " $\"b+=+6\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"2a+%2B+5b+=+40\"$
\n" ); document.write( " $\"2a+%2B+5%2A6+=+40\"$
\n" ); document.write( " $\"2a+=+40+-+30\"$
\n" ); document.write( " $\"2a+=+10\"$
\n" ); document.write( " $\"a+=+5\"$
\n" ); document.write( "She makes $5/hr babysitting and $6/hr at restaurant
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"8a+%2B+3b+=+58\"$
\n" ); document.write( " $\"8%2A5+%2B+3%2A6+=+58\"$
\n" ); document.write( " $\"40+%2B+18+=+58\"$
\n" ); document.write( " $\"58+=+58\"$
\n" ); document.write( "OK
\n" ); document.write( "(2) $\"2a+%2B+5b+=+40\"$
\n" ); document.write( " $\"2%2A5+%2B+5%2A6+=+40\"$
\n" ); document.write( " $\"10+%2B+30+=+40\"$
\n" ); document.write( " $\"40+=+40\"$
\n" ); document.write( "OK \n" ); document.write( "

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