document.write( "Question 1045394: Determine the ordered pair solution for the given linear equations. state the answer in 2 decimal places.
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document.write( " -x/5-y/7=3 and y/3-x/2=1/11 \n" );
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Algebra.Com's Answer #660839 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) -x/5 - y/7 = 3 \n" ); document.write( "2) y/3 -x/2 = 1/11 \n" ); document.write( ": \n" ); document.write( "Equation 1)'s common denominator is 35, multiply both sides of = by 35 \n" ); document.write( ": \n" ); document.write( "3) -7x -5y = 105 \n" ); document.write( ": \n" ); document.write( "Equation 2)'s common denominator is 66, multiply both sides of = by 66 \n" ); document.write( ": \n" ); document.write( "4) 22y -33x = 6 \n" ); document.write( ": \n" ); document.write( "solve equation 3) for x \n" ); document.write( ": \n" ); document.write( "-7x = 5y +105 \n" ); document.write( ": \n" ); document.write( "x = -5y/7 -15 \n" ); document.write( ": \n" ); document.write( "substitute for x in equation 4) \n" ); document.write( ": \n" ); document.write( "22y -33(-5y/7 -15) = 6 \n" ); document.write( ": \n" ); document.write( "22y +165y/7 +495 = 6 \n" ); document.write( ": \n" ); document.write( "319y/7 = -489 \n" ); document.write( ": \n" ); document.write( "319y = -3423 \n" ); document.write( ": \n" ); document.write( "y = -10.73 \n" ); document.write( "x = -5(-10.73)/7 -15 = -7.34 \n" ); document.write( ": \n" ); document.write( "***************************************** \n" ); document.write( "the ordered pair is (-7.34, -10.73) \n" ); document.write( "***************************************** \n" ); document.write( ": \n" ); document.write( "substitute for x and y in the equation \n" ); document.write( ": \n" ); document.write( "y/3 -x/2 = 1/11 \n" ); document.write( "; \n" ); document.write( "-10.73/3 -(-7.34)/2 = 1/11 \n" ); document.write( ": \n" ); document.write( "-3.58 +3.67 = 1/11 \n" ); document.write( ": \n" ); document.write( "0.09 = 0/09 \n" ); document.write( ": \n" ); document.write( "our answer checks :-) \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |