document.write( "Question 127163: I hope this is posted in the correct place. I need some help I do not understand how to do this. Thanks for any help you can give.
\n" ); document.write( "solve by elimination process and type an ordered pair.
\n" ); document.write( "4x - 9y = 14.5
\n" ); document.write( "7y - 2x = -8.5
\n" ); document.write( "

Algebra.Com's Answer #93139 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
Eq. 1: \"4x+-+9y+=+14.5\"
\n" ); document.write( "Eq. 2: \"7y+-+2x+=+-8.5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Start by putting the equations into standard form: \"Ax%2BBy=C\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Eq. 1: \"4x+-+9y+=+14.5\"
\n" ); document.write( "Eq. 2: \"-2x+%2B+7y+=+-8.5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's start by eliminating the y variable. We need a constant to multiply the first equation and another constant to multiply the second equation so that the coefficients on the y variables become additive inverses. 7 * -9 = -63 and 9 * 7 = 63. That should work.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Eq. 3: \"28x+-+63y+=+101.5\"
\n" ); document.write( "Eq. 4: \"-18x+%2B63y+=+-76.5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now add the x terms together, the y terms together, and the constants together to create another equation that has a zero coefficient on y.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Eq. 5: \"10x+%2B+0y+=+25\"
\n" ); document.write( "\"10x=25\"
\n" ); document.write( "\"x=2.5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Go back to the original set of equations:
\n" ); document.write( "Eq. 1: \"4x+-+9y+=+14.5\"
\n" ); document.write( "Eq. 2: \"-2x+%2B+7y+=+-8.5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "But this time, just multiply equation 2 by 2:
\n" ); document.write( "Eq. 6: \"4x+-+9y+=+14.5\"
\n" ); document.write( "Eq. 7: \"-4x+%2B+14y+=+-17\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add the equations to eliminate x
\n" ); document.write( "Eq. 8: \"0x%2B5y=-2.5\"
\n" ); document.write( "\"y=-.5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your solution set is (2.5,-.5)
\n" ); document.write( "
\n" );