Algebra.Com's Answer #853397 by ikleyn(53570)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "Solve the linear system by using substitution. 3x+2y=5, 5x-9y=-4
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document.write( " In his post, @mananth makes 16 tons incorrect calculations.\r
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document.write( " A true solution, which I provide below, has nothing in common with the @mananth writing.\r
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document.write( "Your starting equations are \r\n" );
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document.write( " 3x + 2y = 5, (1)\r\n" );
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document.write( " 5x - 9y = -4. (2)\r\n" );
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document.write( "From equation (1), express y =  and substitute it into equation (2), replacing 'y' there\r\n" );
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document.write( " 5x -  = -4.\r\n" );
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document.write( "Multiply both sides by 2 to rid of the numerator\r\n" );
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document.write( " 10x - 9*((-3x)+5) = -8.\r\n" );
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document.write( "Simplify and find 'x' from this equation\r\n" );
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document.write( " 10x + 27x - 45 = -8\r\n" );
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document.write( " 37x = -8 + 45\r\n" );
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document.write( " 37x = 37\r\n" );
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document.write( " x = 37/37 = 1.\r\n" );
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document.write( "Now substitute x = 1 into equation (1) and find 'y'\r\n" );
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document.write( " 3*1 + 2y = 5 ---> 2y = 5 - 3 = 2 ---> y = 2/2 = 1.\r\n" );
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document.write( "ANSWER. x = 1, y = 1.\r\n" );
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document.write( "Solved.\r
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