document.write( "Question 1206264: Please help me solve this system:
\n" ); document.write( "
\n" ); document.write( "x radical 2 + y radical 3 = 0
\n" ); document.write( "3x radical 3 - 5y radical 2 = -38
\n" ); document.write( "

Algebra.Com's Answer #843567 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "\"x%2Asqrt%282%29%2By%2Asqrt%283%29=0\"
\n" ); document.write( "\"3x%2Asqrt%283%29-5y%2Asqrt%282%29=-38\"

\n" ); document.write( "One standard method for solving a pair of linear equations is elimination. Multiply the first equation by sqrt(3) and the second by sqrt(2) (to make x a multiple of sqrt(6) in both equations):

\n" ); document.write( "\"x%2Asqrt%286%29%2B3y=0\"
\n" ); document.write( "\"3x%2Asqrt%286%29-10y=-38%2Asqrt%282%29\"

\n" ); document.write( "Multiply the first of these equations by 3 and subtract one equation from the other to eliminate x and solve for y:

\n" ); document.write( "\"3x%2Asqrt%286%29%2B9y=0\"
\n" ); document.write( "\"3x%2Asqrt%286%29-10y=-38%2Asqrt%282%29\"
\n" ); document.write( "\"19y=38%2Asqrt%282%29\"
\n" ); document.write( "\"y=2%2Asqrt%282%29\"

\n" ); document.write( "Substitute that value of y in the original first equation to solve for x:

\n" ); document.write( "\"x%2Asqrt%282%29%2B2%2Asqrt%286%29=0\"
\n" ); document.write( "\"x%2Asqrt%282%29=-2%2Asqrt%286%29\"
\n" ); document.write( "\"x=-2%2Asqrt%286%29%2Fsqrt%282%29=-2%2Asqrt%283%29\"

\n" ); document.write( "ANSWER: \"x=-2%2Asqrt%283%29\"; \"y=2%2Asqrt%282%29\"

\n" ); document.write( "
\n" ); document.write( "
\n" );