document.write( "Question 164969: I need help solving this question:\r
\n" ); document.write( "\n" ); document.write( "Solve the following system for x and y:
\n" ); document.write( " $\"+sqrt%28x%29-2sqrt%28y%29=-1\"$
\n" ); document.write( " $\"+3sqrt%28x%29%2B4sqrt%28y%29=17\"$
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #121586 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve the following system for x and y:
\n" ); document.write( " $\"+sqrt%28x%29-2sqrt%28y%29=-1\"$
\n" ); document.write( " $\"+3sqrt%28x%29%2B4sqrt%28y%29=17\"$
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 2, add to the 2nd equation:
\n" ); document.write( " $\"+2sqrt%28x%29-4sqrt%28y%29=-2\"$
\n" ); document.write( " $\"+3sqrt%28x%29%2B4sqrt%28y%29=17\"$
\n" ); document.write( "--------------------------------addition eliminates y, find x
\n" ); document.write( " $\"5sqrt%28x%29+=+15+\"$
\n" ); document.write( " $\"sqrt%28x%29+=+%2815%2F5%29\"$ ; divide both sides by 5
\n" ); document.write( " $\"sqrt%28x%29\"$ = 3
\n" ); document.write( "Square both sides
\n" ); document.write( "x = 9
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation, substitute 9 for x
\n" ); document.write( " $\"+sqrt%289%29-2sqrt%28y%29=-1\"$
\n" ); document.write( " $\"+3+-+2sqrt%28y%29=-1\"$
\n" ); document.write( " $\"-2sqrt%28y%29=-1-3\"$
\n" ); document.write( " $\"-2sqrt%28y%29=-4\"$
\n" ); document.write( "Divide both sides by -2
\n" ); document.write( " $\"sqrt%28y%29=%2B2\"$
\n" ); document.write( "Square both sides
\n" ); document.write( "y = 4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd original equation:
\n" ); document.write( " $\"+3sqrt%289%29%2B4sqrt%284%29=17\"$
\n" ); document.write( "3(3) + 4(2) = 17
\n" ); document.write( " \n" ); document.write( "

\n" );