document.write( "Question 837383: How are you suppose to cancel out ?\r
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document.write( "(4x+2y=66)
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document.write( "(12x+8y=220) \n" );
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Algebra.Com's Answer #504591 by mxgirl22(39)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "1.) (4x+2y=66) \n" ); document.write( "2.) (12x+8y=220)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm assuming you mean solve for x and y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1st) I can see x's will be easy to cancel out. So use -3 to make 4x into -12x. You need to multiply everything in equation 1.) by -3.\r \n" ); document.write( "\n" ); document.write( "1.) -3(4x+2y=66) \n" ); document.write( "2.) (12x+8y=220) \n" ); document.write( "------------------ \n" ); document.write( " -12x-6y=-198 <---This will be your new #1\r \n" ); document.write( "\n" ); document.write( "--------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "2nd) Combine.\r \n" ); document.write( "\n" ); document.write( "1.) -12x-6y=-198 \n" ); document.write( "2.) 12x+8y=220 \n" ); document.write( "------------------ \n" ); document.write( " 2y=22 \n" ); document.write( " 2y/2=22/2 \n" ); document.write( " \n" ); document.write( " y=11 <----- Solution for y \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "3rd) Solve for x. Plug in y=11. Use one of the original equations.\r \n" ); document.write( "\n" ); document.write( "1.) 4x+2y=66 \n" ); document.write( " 4x+2(11)=66 \n" ); document.write( " 4x+22=66 \n" ); document.write( " 4x+22-22=66-22 \n" ); document.write( " 4x=44 \n" ); document.write( " 4x/4=44/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " x=11 <----- Solution for x \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "4th) Just for safety...I'm going to plug in the values I found (x=11 and y=11) into equation 2.\r \n" ); document.write( "\n" ); document.write( "2.) 12x+8y=220 \n" ); document.write( " 12(11)+8(11)=220 \n" ); document.write( " 132+88=220 \n" ); document.write( " 220=220\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And it checks!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So answer is: x=11 and y=11\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |