document.write( "Question 55338: Can you please help me solve the system ? x\4 - y\3 = -3\4
\n" ); document.write( "
\n" ); document.write( " x\2 - y\3 = -1\2 \n" ); document.write( "
Algebra.Com's Answer #37624 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"x%2F4+-+y%2F3+=+-3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Mult the equation by a common denominator, in this case it would be 12
\n" ); document.write( "\"%2812%29x%2F4+-+%2812%29y%2F3+=+-%2812%293%2F4\"
\n" ); document.write( "Resulting in:
\n" ); document.write( "3x - 4y = -9
\n" ); document.write( ":
\n" ); document.write( "We do the same with:
\n" ); document.write( "\"x%2F2+-+y%2F3+=+-1%2F2\"
\n" ); document.write( ":
\n" ); document.write( "The common denominator would be 6 here:
\n" ); document.write( "\"%286%29x%2F2+-+%286%29y%2F3+=+-%286%291%2F2\"
\n" ); document.write( "Resulting in:
\n" ); document.write( "3x - 2y = -3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "These two equations can easily be solved using the elimination method:
\n" ); document.write( "3x - 4y = - 9
\n" ); document.write( "3x - 2y = - 3
\n" ); document.write( "-------------- subtract
\n" ); document.write( "0x - 2y = -6
\n" ); document.write( " y = -6/-2
\n" ); document.write( " y = +3
\n" ); document.write( ":
\n" ); document.write( "Substitute 3 for y in the 1st equation to find x:
\n" ); document.write( "3x - 4(3) = - 9
\n" ); document.write( "3x - 12 = -9
\n" ); document.write( " 3x = -9 + 12
\n" ); document.write( " 3x = +3
\n" ); document.write( " x = +1
\n" ); document.write( ":
\n" ); document.write( "It's a good idea to substitute for x and y in one of the original equations:
\n" ); document.write( "\"x%2F4+-+y%2F3+=+-3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "\"1%2F4+-+3%2F3+=+-3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "\"1%2F4+-+1+=+-3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Equality reigns!\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );