document.write( "Question 1041906: divide 184 in 2 parts such one-third may exceed one-seventh of another part by 8
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document.write( "P.S= PLS GIVE THE ANSWER IN LINEAR EQUATION \n" );
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Algebra.Com's Answer #656932 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we have two equations in two unknowns, let x be one part and y be the other part \n" ); document.write( ": \n" ); document.write( "1) x + y = 184 \n" ); document.write( "2) (x/3) = (y/7) + 8 \n" ); document.write( ": \n" ); document.write( "solve 1) for x and substitute for x in 2) \n" ); document.write( ": \n" ); document.write( "x = 184 - y \n" ); document.write( "( (184 - y) / 3 ) = (y/7) + 8 \n" ); document.write( ": \n" ); document.write( "multiply both sides of = by 21 \n" ); document.write( ": \n" ); document.write( "7(184-y) = 3y + 168 \n" ); document.write( ": \n" ); document.write( "1288 -7y = 3y + 168 \n" ); document.write( ": \n" ); document.write( "10y = 1120 \n" ); document.write( ": \n" ); document.write( "******* \n" ); document.write( "y = 112 \n" ); document.write( "x = 72 \n" ); document.write( "******* \n" ); document.write( ": \n" ); document.write( "to check this substitute for x and y in 2) \n" ); document.write( ": \n" ); document.write( "72/3 = 112/7 + 8 \n" ); document.write( ": \n" ); document.write( "24 = 16 + 8 \n" ); document.write( ": \n" ); document.write( "24 = 24 \n" ); document.write( ": \n" ); document.write( "answer checks :-) \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |