document.write( "Question 111011: two equations
\n" ); document.write( "5x^2 + 3y^2 =17
\n" ); document.write( "-x+y=-1
\n" ); document.write( "i need to find the points of intersection ,if any, of the graphs in the system \n" ); document.write( "

Algebra.Com's Answer #80990 by checkley71(8403) $\"\"$ $\"About$

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5x^2+3y^2=17
\n" ); document.write( "3y^2=-5x^2+17 (red graph)
\n" ); document.write( "-x+y=-1
\n" ); document.write( "y=x-1 (green line)
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+20%2C+3y%5E2=-5x%5E2%2B17%2C+y+=+x+-1%29+\"$ (graph 300x200 pixels, x from -6 to 5, y from -10 to 20, of TWO functions 3y^2 = -5x^2 -17 and y = x -1).
\n" ); document.write( "y=x-1
\n" ); document.write( "3(x-1)^2=-5x^2+17
\n" ); document.write( "3(x^2-2x+1)=-5x^2+17
\n" ); document.write( "3x^2-6x+3=-5x^2+17
\n" ); document.write( "3x^2+5x^2-6x+3-17=0
\n" ); document.write( "8x^2-6x-14=0 reduce by dividing by 4
\n" ); document.write( "2(4x^2-3x-7)=0
\n" ); document.write( "2(4x-7)(x+1)=0
\n" ); document.write( "4x-7=o
\n" ); document.write( "4x=7
\n" ); document.write( "x=7/4 answer.
\n" ); document.write( "y=7/4-1
\n" ); document.write( "y=(7-4)/4
\n" ); document.write( "y=3/4 answer
\n" ); document.write( "so the intersection is (7/4,3/4) \n" ); document.write( "

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