document.write( "Question 550289: Solve for the y value in this system: {5x-y=4
\n" ); document.write( " 1+y2=2x
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Algebra.Com's Answer #358685 by mananth(16946)\"\" \"About 
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{5x-y=4
\n" ); document.write( "1+y2=2x\r
\n" ); document.write( "\n" ); document.write( "y=5x-4\r
\n" ); document.write( "\n" ); document.write( "substitute the value of y in the equation (2)\r
\n" ); document.write( "\n" ); document.write( "1+(5x-4)^2=2x
\n" ); document.write( "1+25x^2-40x+16=2x
\n" ); document.write( "25x^2-42x+17=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 25 b= -42 c= 17
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\n" ); document.write( "b^2-4ac= 1764 - -1700
\n" ); document.write( "b^2-4ac= 64 \"sqrt%28%0964%09%29\"=
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x1=( 42 + 8 )/ 50
\n" ); document.write( "x1= 1 1
\n" ); document.write( "x2=( 42 -8 ) / 50
\n" ); document.write( "x2= 0.68 2/3 \r
\n" ); document.write( "\n" ); document.write( "x ( 1, 0.68)\r
\n" ); document.write( "\n" ); document.write( "plug the value of x in any equation to get the value of y
\n" ); document.write( "5x-y=4
\n" ); document.write( "5-y=4
\n" ); document.write( "y=1
\n" ); document.write( "(1,1)
\n" ); document.write( "5*0.68-y=4
\n" ); document.write( "3.4-y=4
\n" ); document.write( "-0.6
\n" ); document.write( "(0.68,0.6)\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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