document.write( "Question 243624: Use the substitution method to find all solutions of the system of equations. (Round each answer to two decimal places.)
\n" ); document.write( "x^2 - y = 6
\n" ); document.write( "2x^2 + 3y = 16 \n" ); document.write( "
Algebra.Com's Answer #178505 by checkley77(12844)\"\" \"About 
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x^2 - y = 6 or y=x^2-6
\n" ); document.write( "2x^2 + 3y = 16 substitute (x^2-6) for y in the other equation & solve for x
\n" ); document.write( "2x^2+3(x^2-6)=16
\n" ); document.write( "2x^2+3x^2-18=16
\n" ); document.write( "5x^2=16+18
\n" ); document.write( "5x^2=34
\n" ); document.write( "x^2=34/5
\n" ); document.write( "x^2=6.8
\n" ); document.write( "x=sqrt6.8
\n" ); document.write( "x=2.61 ans.
\n" ); document.write( "y=(2.61)^2-6
\n" ); document.write( "y=6.8-6
\n" ); document.write( "y=.8 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "2(2.61)^2+3*.8=16
\n" ); document.write( "2*6.8+2.4=16
\n" ); document.write( "13.6+2.4=16
\n" ); document.write( "16=16\r
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