document.write( "Question 1018518: Stuck on this one any help would be appreciated!\r
\n" ); document.write( "\n" ); document.write( "If -4(x-1)=y^2 and 1=(((x-4)^2)/9)+((y^2)/4), how many solutions does this system have?\r
\n" ); document.write( "\n" ); document.write( "Answer is 1 solution
\n" ); document.write( "

Algebra.Com's Answer #634628 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
If -4(x-1)=y^2 and 1=(((x-4)^2)/9)+((y^2)/4), how many solutions does this system have?
\n" ); document.write( "-----------
\n" ); document.write( "(x-4)^2/9)+ y^2/4 = 1
\n" ); document.write( "Sub for y^2
\n" ); document.write( "(x-4)^2/9) -4(x-1)/4 = 1
\n" ); document.write( "(x-4)^2/9) -x + 1 = 1
\n" ); document.write( "(x-4)^2 - 9x = 0
\n" ); document.write( "x^2 - 17x + 16 = 0
\n" ); document.write( "(x-16)*(x-1) = 0
\n" ); document.write( "x = 1
\n" ); document.write( "y^2 = -4(x-1)--> y = 0
\n" ); document.write( "Solution (1,0)
\n" ); document.write( "--------
\n" ); document.write( "x = 16
\n" ); document.write( "y^2 = -4(x-1)--> y^2 = -60
\n" ); document.write( "Not a solution.
\n" ); document.write( "
\n" ); document.write( "
\n" );