document.write( "Question 615245: please post your steps to resolve the following question: Solve by rearranging the equations first. Then use the multiplication principle and then use the elimination method:
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document.write( "3x=8y+11
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document.write( "x+6y-8=0
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Algebra.Com's Answer #387077 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 3x = 8y + 11 \n" ); document.write( "x + 6y - 8 = 0 \n" ); document.write( "put both equations into standard form \n" ); document.write( "3x - 8y = 11 \n" ); document.write( "x + 6y = 8 \n" ); document.write( ": \n" ); document.write( "multiply the 2nd equation by 3, subtract the 1st equation \n" ); document.write( "3x + 18y = 24 \n" ); document.write( "3x - 8y = 11 \n" ); document.write( "--------------subtraction eliminates x, find y \n" ); document.write( "0 + 26y = 13 \n" ); document.write( "26y = 13 \n" ); document.write( "y = 13/26 \n" ); document.write( "y = .5 \n" ); document.write( ": \n" ); document.write( "We can find x using the equation x + 6y = 8, replace y with .5 \n" ); document.write( "x + 6(.5) = 8 \n" ); document.write( "x + 3 = 8 \n" ); document.write( "x = 8 - 3 \n" ); document.write( "x = 5 \n" ); document.write( ": \n" ); document.write( "We can check out solution of x=5, y=.5 in the original 1st equation \n" ); document.write( "3x = 8y + 11 \n" ); document.write( "replace x and y \n" ); document.write( "3(5) = 8(.5) + 11 \n" ); document.write( "15 = 4 + 11 \n" ); document.write( " |