document.write( "Question 972385: someone help me please! Thank you. Show all work too please.\r
\n" ); document.write( "\n" ); document.write( "Find the point(s) of intersection of the line x - y = -6 and the circle x2 + y2 = 18 by solving the system of equations.
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Algebra.Com's Answer #594717 by lwsshak3(11628)\"\" \"About 
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Find the point(s) of intersection of the line x - y = -6 and the circle x2 + y2 = 18 by solving the system of equations.
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\n" ); document.write( "solve by substitution:
\n" ); document.write( "x-y=6
\n" ); document.write( "y=x-6
\n" ); document.write( "..
\n" ); document.write( "x^2 + y^2 = 18
\n" ); document.write( "x^2+(x-6)^2=18
\n" ); document.write( "x^2+x^2-12x+36=18
\n" ); document.write( "2x^2-12x+18=0
\n" ); document.write( "divide eq. by 2
\n" ); document.write( "x^2-6x+9=0 (perfect square)
\n" ); document.write( "(x-3)^2=0
\n" ); document.write( "(x-3)(x-3)=0
\n" ); document.write( "x=3 (multiplicity 2)
\n" ); document.write( "..
\n" ); document.write( "y^2=18-x^2
\n" ); document.write( "y^2=18-9=9
\n" ); document.write( "y=±√9=±3
\n" ); document.write( "y=3 (reject, does not check in first equation)
\n" ); document.write( "or
\n" ); document.write( "y=-3
\n" ); document.write( "..
\n" ); document.write( "Point of intersection (3, -3)
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