document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453703>Question 453703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do u find in two sets of equations have points in common\r<BR>\n" );
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document.write( "2x^2+3y^2=19<BR>\n" );
document.write( "x^2+y^2=9 </SPAN>\n" );
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document.write( "2x^2+3y^2=19<BR>\n" );
document.write( "x^2+y^2=9  --> y^2 = 9-x^2<BR>\n" );
document.write( "sub for y^2 in the 1st eqn and solve for x<BR>\n" );
document.write( "2x^2+3y^2=19<BR>\n" );
document.write( "2x^2 + 3(9-x^2) = 19<BR>\n" );
document.write( "-x^2 = -8<BR>\n" );
document.write( "x = +/- sqrt(8)<BR>\n" );
document.write( "The solutions are real numbers, so there are intersections.<BR>\n" );
document.write( "Sub each value for x and find 2 values of y (in either equation).<BR>\n" );
document.write( "4 intersections.<BR>\n" );
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