document.write( "Question 37235This question is from textbook
\n" ); document.write( ": 2x+4y=10
\n" ); document.write( "3x-2y=-9 \n" ); document.write( "
Algebra.Com's Answer #22914 by jcmtnez(53)\"\" \"About 
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System.
\n" ); document.write( "2x+4y=10
\n" ); document.write( "3x-2y=-9
\n" ); document.write( "We can easily solve this system by reduction:\r
\n" ); document.write( "\n" ); document.write( "2x+4y=10
\n" ); document.write( "2(3x-2y)=2(-9) We multiply the second equation by two getting a similar equation.\r
\n" ); document.write( "\n" ); document.write( "2x+4y=10
\n" ); document.write( "6x-4y=-18 We have the same system, now we only have to sum the corresponding parts.\r
\n" ); document.write( "\n" ); document.write( " 2x+4y=10
\n" ); document.write( " +6x-4y=-18
\n" ); document.write( "Result:8x =-8\r
\n" ); document.write( "\n" ); document.write( "Solving for x,
\n" ); document.write( "8x=-8, x=-1
\n" ); document.write( "Substitution of x by its value,
\n" ); document.write( "2(-1)+4y=10
\n" ); document.write( "-2+4y=10
\n" ); document.write( "4y=12
\n" ); document.write( "y=3\r
\n" ); document.write( "\n" ); document.write( "The solutions to the system are, x=-1 and y=3
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