document.write( "Question 194216: Can you help-- Solve the system by the addition method.
\n" ); document.write( "x/3-y/2=-5/6, x/5-y/3=-3/5\r
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Algebra.Com's Answer #145772 by anantha(86)\"\" \"About 
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sol:x/3-y/2= -5/6 this is the 1st equation
\n" ); document.write( "take l.h.s part the l.c.m of 3,2 is 6
\n" ); document.write( "multiplying by 6 on both sides of the equation
\n" ); document.write( "(x/3)*6-(y/2)*6= -(5/6)*6
\n" ); document.write( "2x-3y= -5 --------(3 equation)
\n" ); document.write( "x/5-y/3= -3/5\r
\n" ); document.write( "\n" ); document.write( "take l.h.s part the l.c.m of 5,3 is 15
\n" ); document.write( "multiplying both sides by 15
\n" ); document.write( "(x/5)*15-(y/3)*15= (-3/5)*15
\n" ); document.write( "3x-5y=-7 --------(4 th equation)
\n" ); document.write( "solving these two equations we get x,y values
\n" ); document.write( " 2x-3y= -5
\n" ); document.write( " 3x-5y=-7
\n" ); document.write( "multiplying 3 equation by 3 on both sides and multiplying 4th equation by 2 on both sides
\n" ); document.write( " 2x*3-3y*3= -5*3
\n" ); document.write( " 3x*2-5y*2= -7*2
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\n" ); document.write( " 6x-9y= -15
\n" ); document.write( " 6x-10y=-14
\n" ); document.write( "on solving these equations changin the symbols of 2nd equation
\n" ); document.write( " 6x-9y= -15
\n" ); document.write( " -6x+10y= +14
\n" ); document.write( "--------------------
\n" ); document.write( " 0+1y= -1
\n" ); document.write( "y= -1
\n" ); document.write( "substitute this value in 3rd equation we get x value
\n" ); document.write( " 2x-3y= -5
\n" ); document.write( "2x-3*(-1)= -5
\n" ); document.write( "2x+3= -5
\n" ); document.write( "subtracting 3 on both sides
\n" ); document.write( "2x+3-3= -5-3
\n" ); document.write( "2x=-8
\n" ); document.write( "dividing by 2 on both sides
\n" ); document.write( "2x/2= -8/2
\n" ); document.write( "x= -4
\n" ); document.write( "check these values correct or not
\n" ); document.write( "substitute these values in 3rd equation
\n" ); document.write( "2x-3y= -5
\n" ); document.write( "2*(-4)-3*(-1)= -5
\n" ); document.write( "-8+3=-5
\n" ); document.write( "-5= -5
\n" ); document.write( "these two values satisfy the equations
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