document.write( "Question 258796: Solve the system of linear equations.
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document.write( "x/4 - y/11 = -9/44
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document.write( "x/6 - y/13 = -1/26 \n" );
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Algebra.Com's Answer #190515 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system of linear equations. \n" ); document.write( "x/4 - y/11 = -9/44 \n" ); document.write( "x/6 - y/13 = -1/26\r \n" ); document.write( "\n" ); document.write( "x/4 - y/11 = -9/44 (* 44 both sides) \n" ); document.write( "x/6 - y/13 = -1/26 (* 26 both sides)\r \n" ); document.write( "\n" ); document.write( "11x - 4y = -9 \n" ); document.write( "(13/3)x - 2y = -1 (26/6=13/3) (* 3 both sides)\r \n" ); document.write( "\n" ); document.write( "11x - 4y = -9 \n" ); document.write( "13x - 6y = -3\r \n" ); document.write( "\n" ); document.write( "11x - 4y = -9 (choosing this one and solving for y) \n" ); document.write( "-4y = -11x - 9 \n" ); document.write( " 4y = 11x + 9 \n" ); document.write( " y = (11/4)x + (9/4)\r \n" ); document.write( "\n" ); document.write( "13x - 6y = -3 (plugging our solved y into this) \n" ); document.write( "13x - 6((11/4)x+(9/4)) = -3 \n" ); document.write( "13x - (66/4)x - (54/4) = -3 \n" ); document.write( "(52/4)x - (66/4)x = (-12/4) + (54/4) (52/4=13, -12/4=-3) \n" ); document.write( "(-14/4)x = (42/4) (multiply both sides by 4) \n" ); document.write( "-14x = 42 \n" ); document.write( "x=-3\r \n" ); document.write( "\n" ); document.write( "11x - 4y = -9 (plug x=-3 into this and solve for y) \n" ); document.write( "11(-3) - 4y = -9 \n" ); document.write( "-33 - 4y = -9 \n" ); document.write( "-4y = -9 + 33 \n" ); document.write( "-4y = 24 \n" ); document.write( "y=-6\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |