document.write( "Question 309631: I am having trouble with this equation,\r
\n" );
document.write( "\n" );
document.write( "8x-9y=8.5
\n" );
document.write( "7y-2x=-45
\n" );
document.write( "solve using the elimination method.
\n" );
document.write( "Can you explain how to do this? (In layman's terms) \n" );
document.write( "
Algebra.Com's Answer #221449 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 8x-9y=8.5 \n" ); document.write( "7y-2x=-45 \n" ); document.write( "---------------- \n" ); document.write( "Rearrange: \n" ); document.write( "8x-9y = 8.5 \n" ); document.write( "-2x+7y = -45 \n" ); document.write( "---------------------- \n" ); document.write( "Let's say you want to eliminate the x-terms. \n" ); document.write( "Multiply thru the 2nd equation by 4 to get: \n" ); document.write( "----------------------------- \n" ); document.write( "8x-9y = 8.5 \n" ); document.write( "-8x+28y = 4*-45 \n" ); document.write( "------------------------- \n" ); document.write( "Add the two equations: \n" ); document.write( "19y = -171.5 \n" ); document.write( "y = -9.0263 \n" ); document.write( "-------------- \n" ); document.write( "Substitute that into either of the original equations and solve for \"x\": \n" ); document.write( "7y-2x = -45 \n" ); document.write( "7y - 2(-9.0263) = -45 \n" ); document.write( "7y = -63.0526 \n" ); document.write( "y = -9.0075 \n" ); document.write( "-------------------------- \n" ); document.write( "You could check the answers in the other original equation. \n" ); document.write( "You have to realize some accuracy is lost because the decimal \n" ); document.write( "results were rounded. \n" ); document.write( "================================ \n" ); document.write( "8x-9y=8.5 \n" ); document.write( "8*-9.0263 -9(-9.0075) =8.5 \n" ); document.write( "8.8571 is close to 8.5 \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |