document.write( "Question 252754: x+y=? x-7=5 x*y=24
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Algebra.Com's Answer #184835 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! x+y =? \n" ); document.write( "x-7 = 5 \n" ); document.write( "x*y = 24 \n" ); document.write( ": \n" ); document.write( " it's easy to see from the 2nd equation that x = 12, then y = 2) \n" ); document.write( ": \n" ); document.write( "Assuming this is what you meant: \n" ); document.write( "x+y = ? \n" ); document.write( "x-y = 5 \n" ); document.write( "x*y = 24 \n" ); document.write( ": \n" ); document.write( "Rearrange the 2nd equation for substitution \n" ); document.write( "x = (y+5) \n" ); document.write( ": \n" ); document.write( "Substitute in the 3rd equation \n" ); document.write( "y(y+5) = 24 \n" ); document.write( "y^2 + 5y - 24 = 0; a quadratic equation \n" ); document.write( "Factor \n" ); document.write( "(y + 8)(y - 3) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "y = 3, then x = 8 \n" ); document.write( "y = -8, then x = -3 \n" ); document.write( ": \n" ); document.write( "Therefore x + y = ? \n" ); document.write( "8 + 3 = 11 \n" ); document.write( "and \n" ); document.write( "-3 + (-8) = -11 \n" ); document.write( " |