document.write( "Question 579755: Find the coordinates of any points where the line 2x + 3y = 6 and the ellipse 4x^2 + 9y^2 = 36 intersect. \n" ); document.write( "
Algebra.Com's Answer #371086 by lwsshak3(11628)\"\" \"About 
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Find the coordinates of any points where the line 2x + 3y = 6 and the ellipse 4x^2 + 9y^2 = 36 intersect.
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\n" ); document.write( "2x+3y=6
\n" ); document.write( "3y=6-2x
\n" ); document.write( "y=2-2x/3
\n" ); document.write( "..
\n" ); document.write( "4x^2+9y^2=36
\n" ); document.write( "sub y in equation
\n" ); document.write( "4x^2+9(2-2x/3)^2=36
\n" ); document.write( "4x^2+9(4-8x/3+4x^2/9)=36
\n" ); document.write( "4x^2+36-24x+4x^2=36
\n" ); document.write( "8x^2-24x=0
\n" ); document.write( "x^2-3x=0
\n" ); document.write( "x(x-3)=0
\n" ); document.write( "x=0
\n" ); document.write( "y=2-2x/3=2-0=2
\n" ); document.write( "or
\n" ); document.write( "x=3
\n" ); document.write( "y=2-2x/3=2-6/3=2-2=0
\n" ); document.write( "..
\n" ); document.write( "ans:
\n" ); document.write( "Two points of intersection:(0,2) and (3,0)\r
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