document.write( "Question 272295: Please help me solves these urgent problems!!!\r
\n" ); document.write( "\n" ); document.write( "first system\r
\n" ); document.write( "\n" ); document.write( "1. x^2+y^2=16
\n" ); document.write( " 2x+y=4\r
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\n" ); document.write( "\n" ); document.write( "second system\r
\n" ); document.write( "\n" ); document.write( "2. x^2+y^2=4
\n" ); document.write( " y=x^2-2
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Algebra.Com's Answer #199231 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
first system
\n" ); document.write( "1. x^2+y^2=16
\n" ); document.write( "2x+y=4 --> y = -2x+4
\n" ); document.write( "Sub for y into the 1st eqn
\n" ); document.write( "x^2 + (-2x+4)^2 = 16
\n" ); document.write( "x^2 + 4x^2 -16x + 16 = 16
\n" ); document.write( "5x^2 - 16x = 0
\n" ); document.write( "x = 0
\n" ); document.write( "x = 16/5
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\n" ); document.write( "Solve for y on the line, not the circle, to avoid extraneous roots
\n" ); document.write( "x = 0, y = 4 --> (0,4)
\n" ); document.write( "x = 16/5, y = -12/5 --> (3.2,-2.4)
\n" ); document.write( "-----------------------
\n" ); document.write( "second system
\n" ); document.write( "2. x^2+y^2=4
\n" ); document.write( "y=x^2-2 --> x^2 = y+2
\n" ); document.write( "Sub for x^2
\n" ); document.write( "(y+2) + y^2 = 4
\n" ); document.write( "y^2 + y - 2 = 0
\n" ); document.write( "(y+2)*(y-1) = o
\n" ); document.write( "y = 1, y = -2
\n" ); document.write( "---------------
\n" ); document.write( "x^2 = y+2
\n" ); document.write( "x^2 = 0 --> (0,-2)
\n" ); document.write( "-------------------
\n" ); document.write( "x^2 = 3 --> (sqrt(3),1) and (-sqrt(3),1)
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