document.write( "Question 1028483: x-y=5
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document.write( "3x+2y=-1
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Algebra.Com's Answer #643566 by addingup(3677)![]() ![]() You can put this solution on YOUR website! x-y=5 Multiply both sides times 2 and add to the one below \n" ); document.write( "3x+2y=-1 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "2x-2y=10 \n" ); document.write( "+ \n" ); document.write( "3x+2y=-1 \n" ); document.write( "--------- \n" ); document.write( "5x = 9 \n" ); document.write( "x = 9/5 = 1 1/4 \n" ); document.write( "Now you can solve for y. Take any one of the two equations, I'll use the first one: \n" ); document.write( "x-y = 5 \n" ); document.write( "9/5-y = 5 multiply both sides times 5 \n" ); document.write( "9-5y = 25 Subtract 9 on both sides \n" ); document.write( "-5y = 16 \n" ); document.write( "Divide both sides by -5 \n" ); document.write( "y = -16/5 = -3 1/5 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Check: To check my answers, I use the second equation: \n" ); document.write( "3x+2y=-1 Substitute with the values I got for x and y: \n" ); document.write( "3(9/5)+2(-16/5)= -1 Multiply both sides times 5 \n" ); document.write( "3(9)+2(-16) = -5 \n" ); document.write( "27-32 = -5 Correct \n" ); document.write( "NOTE: you can also do this, since multiplying fractions is so easy: \n" ); document.write( "3(9/5)+2(-16/5)= -1 Multiply 3/1*9/5=(3*9)/(1*5) and 2/1*-16/5=(2*-16)/(1*5) \n" ); document.write( "27/5-32/5 = -1 \n" ); document.write( "-5/5 = -1 Correct \n" ); document.write( " \n" ); document.write( " |