document.write( "Question 252148: Consider system of equations.
\n" ); document.write( "Y=ax^2+bx+c
\n" ); document.write( "Y=nx^2+mx+p
\n" ); document.write( "Suppose the parabolas have the same axis of symmetry.How many possible solution does the system have? Explain \n" ); document.write( "
Algebra.Com's Answer #183933 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Consider system of equations.
\n" ); document.write( "Y=ax^2+bx+c
\n" ); document.write( "axis: -b/(2a)
\n" ); document.write( "Y=nx^2+mx+p
\n" ); document.write( "axis: -m/(2n)
\n" ); document.write( "Suppose the parabolas have the same axis of symmetry.How many possible solution does the system have? Explain
\n" ); document.write( "Equation:
\n" ); document.write( "-b/2a = -m/2n
\n" ); document.write( "-bn = -am
\n" ); document.write( "am - bn = 0
\n" ); document.write( "--------------------
\n" ); document.write( "Comment:
\n" ); document.write( "Using Cramer's method you would find
\n" ); document.write( "that the coefficient determinant is am-bn.
\n" ); document.write( "When it equals zero the solution values are undefined.
\n" ); document.write( "---
\n" ); document.write( "The system has no solutions.
\n" ); document.write( "=================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );