document.write( "Question 574330: I am having touble getting this problem right, if you could please help and break down the steps, I get confused with fractions and dividing and multiplying them. Any help is appreciated thank you.\r
\n" ); document.write( "\n" ); document.write( "Solve the system by the elimination method.\r
\n" ); document.write( "\n" ); document.write( "5x+2y=-11
\n" ); document.write( "7x-3y=19 \n" ); document.write( "
Algebra.Com's Answer #369032 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
(1) \"+5x%2B2y=-11+\"
\n" ); document.write( "(2) \"+7x-3y=19+\"
\n" ); document.write( "Multiply (1) by \"3\"
\n" ); document.write( "Multiply (2) by \"2\"
\n" ); document.write( "Then add the equations
\n" ); document.write( "(1) \"+15x%2B6y=-33+\"
\n" ); document.write( "(2) \"+14x-6y=38+\"
\n" ); document.write( "\"+29x+=+5+\"
\n" ); document.write( "\"+x+=+5%2F29+\"
\n" ); document.write( "Plug this back into either (1) or (2)
\n" ); document.write( "(2) \"+7%2A%285%2F29%29+-+3y=19+\"
\n" ); document.write( "Now multiply both sides by \"+29+\"
\n" ); document.write( "( I'll go slowly )
\n" ); document.write( "(2) \"+29%2A7%2A%285%2F29%29+-+29%2A3y=+29%2A19+\"
\n" ); document.write( "OK, now rewrite it this way:
\n" ); document.write( "(2) \"+%2829%2F29%29%2A7%2A5+-+87y+=+551+\"
\n" ); document.write( "Notice that \"+29%2F29+=+1+\", so
\n" ); document.write( "(2) \"+35+-+87y+=+551+\"
\n" ); document.write( "Subtract \"35\" from both sides
\n" ); document.write( "(2) \"+-87y+=+516+\"
\n" ); document.write( "Divide both sides by \"-87\"
\n" ); document.write( "(2) \"+y+=+-516%2F87+\"
\n" ); document.write( "( It doesn't reduce any more )
\n" ); document.write( "-----------------------
\n" ); document.write( "Now I have to check the answers
\n" ); document.write( "I'll do it on my calculator with approximate decimals
\n" ); document.write( "\"+5%2F29+=+.172414+\"
\n" ); document.write( "\"+-516%2F87+=+-5.93103+\"
\n" ); document.write( "I can write:
\n" ); document.write( "(1) \"+5x%2B2y=-11+\"
\n" ); document.write( "(1) \"+5%2A.172414+%2B+2%2A%28-5.93103%29+=+-11+\"
\n" ); document.write( "(1) \"+.86207+-+11.86207+=+-11+\"
\n" ); document.write( "(1) \"+-11+=+-11+\"
\n" ); document.write( "Perfect! Usually there's a slight error due
\n" ); document.write( "to rounding off.
\n" ); document.write( "Now you can check the other equation the same way.
\n" ); document.write( " \n" ); document.write( "
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