document.write( "Question 633280: solve nonlinear system of equations for real solutions
\n" ); document.write( " y=x^2-3
\n" ); document.write( "8x-y=18 \n" ); document.write( "
Algebra.Com's Answer #398801 by ankor@dixie-net.com(22740)\"\" \"About 
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solve nonlinear system of equations for real solutions
\n" ); document.write( "y = x^2 - 3
\n" ); document.write( "8x - y = 18
\n" ); document.write( "rearrange for elimination
\n" ); document.write( "x^2 - y = 3
\n" ); document.write( "8x - y = 18
\n" ); document.write( "--------------Subtraction eliminates y, find x
\n" ); document.write( "x^2 - 8x = -15
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 - 8x + 15 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-3)(x-5) = 0
\n" ); document.write( "two solution
\n" ); document.write( "x = 3, x = 5
\n" ); document.write( ":
\n" ); document.write( "Find y using x=3 in the 2nd equation
\n" ); document.write( "8(3) - y = 18
\n" ); document.write( "24 - y = 18
\n" ); document.write( "y = 6
\n" ); document.write( "and
\n" ); document.write( "Find y using x=5 in the 2nd equation
\n" ); document.write( "8(5) - y = 18
\n" ); document.write( "40 - y = 18
\n" ); document.write( "y = 22
\n" ); document.write( ":
\n" ); document.write( "Solutions: 3,6 and 5,22
\n" ); document.write( ":
\n" ); document.write( "You should check both solutions in the 2nd equation \n" ); document.write( "
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