document.write( "Question 168961: I don't understand how to do this problem?
\n" ); document.write( "3x+y=5
\n" ); document.write( "-2x+3y=4 \n" ); document.write( "

Algebra.Com's Answer #124589 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"3x+%2B+y+=+5\"$
\n" ); document.write( "(2) $\"-2x+%2B+3y+=+4\"$
\n" ); document.write( "This is 2 equations with 2 unknowns, so it's solvable
\n" ); document.write( "Multiply (1) by $\"3\"$ and subtract (2) from (1)
\n" ); document.write( "To subtract, change all the signs of (2) to minus
\n" ); document.write( " $\"9x+%2B+3y+=+15\"$
\n" ); document.write( " $\"-%28-2x%29+-+3y+=+-4\"$
\n" ); document.write( "Now I'll rewrite these
\n" ); document.write( " $\"9x+%2B+3y+=+15\"$
\n" ); document.write( " $\"2x+-+3y+=+-4\"$
\n" ); document.write( "The result is:
\n" ); document.write( " $\"11x++=+11\"$
\n" ); document.write( " $\"x+=+1\"$
\n" ); document.write( "Substitute this result back in (1)
\n" ); document.write( "(1) $\"3x+%2B+y+=+5\"$
\n" ); document.write( "(1) $\"3%2A1+%2B+y+=+5\"$
\n" ); document.write( " $\"y+=+5+-+3\"$
\n" ); document.write( " $\"y+=+2\"$
\n" ); document.write( "The solutions are x = 1 and y = 2
\n" ); document.write( " \n" ); document.write( "

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