document.write( "Question 29715: 15x+11y=132, 2x+3y=59 \n" ); document.write( "

Algebra.Com's Answer #16508 by Cintchr(481) $\"\"$ $\"About$

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$\"+15x+%2B+11y+=+132+\"$
\n" ); document.write( " $\"++2x+%2B++3y+=++59+\"$
\n" ); document.write( "to solve, we can solve for x in the 2nd equation and plug it into the first to find y.
\n" ); document.write( " $\"++2x+%2B++3y+=++59+\"$ subtract 3y from both sides
\n" ); document.write( " $\"++2x+=+59+-3y+\"$ divide all parts by 2
\n" ); document.write( " $\"++2x%2F2+=+59%2F2+-3y%2F2+\"$
\n" ); document.write( " $\"++x+=+59%2F2+-3y%2F2+\"$ plug this back into equation #1
\n" ); document.write( " $\"+15x+%2B+11y+=+132+\"$
\n" ); document.write( " $\"+15%2859%2F2+-3y%2F2%29+%2B+11y+=+132+\"$ distribute 15 to the quantity
\n" ); document.write( " $\"+885%2F2+-45y%2F2%29+%2B+11y+=+132+\"$ change the fractions to a common denom of 2
\n" ); document.write( " $\"+885%2F2+-45y%2F2+%2B+11y%282%29%2F%282%29+=+132%282%29%2F%282%29+\"$ drop the denoms
\n" ); document.write( " $\"+885+-45y+%2B+11y%282%29+=+132%282%29+\"$ multiply
\n" ); document.write( " $\"+885+-45y+%2B+22y+=+264+\"$ combine like terms
\n" ); document.write( " $\"+885+-+23y+=+264+\"$ subtract 885 from both sides
\n" ); document.write( " $\"+-23y+=+264+-+885+\"$
\n" ); document.write( " $\"+-23y+=+-621+\"$ divide by -23
\n" ); document.write( " $\"+y+=+27+\"$
\n" ); document.write( "pick either of the equations and plug y=27 in.
\n" ); document.write( " $\"++2x+%2B++3y+=++59+\"$
\n" ); document.write( " $\"++2x+%2B++3%2827%29+=++59+\"$ multiply
\n" ); document.write( " $\"++2x+%2B++81+=++59+\"$ subtract 81 from both sides
\n" ); document.write( " $\"++2x++=++-22+\"$ divide both sides by 2
\n" ); document.write( " $\"x+=+-11+\"$
\n" ); document.write( "the solution, or ordered pair, where the two lines cross is :
\n" ); document.write( "(-11,27)\r
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