document.write( "Question 143454: Find the points of intersection of the graphs:\r
\n" ); document.write( "\n" ); document.write( "x^2/4 + y^2/9 =1 & y = -x-2 \n" ); document.write( "
Algebra.Com's Answer #104396 by stanbon(75887)\"\" \"About 
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Find the points of intersection of the graphs:
\n" ); document.write( "x^2/4 + y^2/9 =1
\n" ); document.write( "& y = -x-2
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\n" ); document.write( "Substitute to solve for \"x\":\r
\n" ); document.write( "\n" ); document.write( "[x^2/4] + [(-x-2)^2/9] = 1
\n" ); document.write( "[x^2/4] + [(x^2+4x+4)/9] = 1
\n" ); document.write( "9x^2 + 4x^2+16x+16 = 36
\n" ); document.write( "13x^2 + 16x - 20 = 0
\n" ); document.write( "(x+2)(13x-10) = 0
\n" ); document.write( "x = -2 or x = 10/13
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\n" ); document.write( "If x=-2, solve for Y:
\n" ); document.write( "(4/4)+ y^2/9 = 1
\n" ); document.write( "1 + y^2/9 = 1
\n" ); document.write( "y = 0
\n" ); document.write( "Point of intersection (-2,0)
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\n" ); document.write( "If x = 10/13, solve for y:
\n" ); document.write( "(10/13)^2/4 + y^2/9 = 1
\n" ); document.write( "y^2/9 = 0.85207...
\n" ); document.write( "y^2 = 7.668639...
\n" ); document.write( "y = - 2.76923
\n" ); document.write( "Points of intersection: (10/13 , -2.76913...)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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