document.write( "Question 29229: can someone show me how to solve by addition method...
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document.write( "2x=2-y
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document.write( "3x+y=-1 \n" );
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Algebra.Com's Answer #16062 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! can someone show me how to solve by addition method... \n" ); document.write( "2x=2-y ----(1) \n" ); document.write( "3x+y=-1 ---(2) \n" ); document.write( "Rewriting (1) \n" ); document.write( "(LHS = RHS same as RHS = LHS) \n" ); document.write( "(Tom's age = Jack's age same as Jack's age = Tom's age) \n" ); document.write( "2-y = 2x ---(3) \n" ); document.write( "(2) +(3) \n" ); document.write( "(3x+y)+(2-y)=(-1)+(2x) \n" ); document.write( "3x+2+(y-y) =-1+2x \n" ); document.write( "3x+2+0 = -1+2x \n" ); document.write( "(3x-2x) = -1-2 (grouping like terms, change side then change sign) \n" ); document.write( "x = -3 \n" ); document.write( "Put x=-3 in (2) \n" ); document.write( "3x+y=-1 \n" ); document.write( "3X(-3)+y = -1 \n" ); document.write( "-9+y =-1 \n" ); document.write( "y =-1+9 = 8 \n" ); document.write( "Answer: x=-3,y=8 \n" ); document.write( "Verification: x=-3,y=8 in (1) \n" ); document.write( "LHS = 2x= =2X(-3) = -6 = 2-8 = 2-y = RHS \n" ); document.write( "Therefore our values are correct.\r \n" ); document.write( "\n" ); document.write( "Note: Addition includes subtraction. \n" ); document.write( "Observe that (1) is 2x+y = 2 ---(*) (bringing y from the right to the left) \n" ); document.write( "And (2) is 3x+y=-1 ---(2)\r \n" ); document.write( "\n" ); document.write( "(*)-(2) implies (2x-3x)+0 = 2-(-1) \n" ); document.write( "-x = 3 giving x=-3 \n" ); document.write( "and then proceed as above\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |