document.write( "Question 869161: I need to use the system of equations with square roots
\n" ); document.write( "3 sqrt ( a ) +5 sqrt ( b ) =31
\n" ); document.write( "5 sqrt ( a ) -5 sqrt ( b ) = -15
\n" ); document.write( "

Algebra.Com's Answer #524078 by ankor@dixie-net.com(22740)\"\" \"About 
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3 sqrt ( a ) + 5 sqrt ( b ) = 31
\n" ); document.write( "5 sqrt ( a ) - 5 sqrt ( b ) = -15
\n" ); document.write( "------------------------------------adding eliminates b
\n" ); document.write( "8 sqrt(a) + 0 = 16
\n" ); document.write( "sqrt(a) = 16/8
\n" ); document.write( "sqrt(a) = 2
\n" ); document.write( "square both sides
\n" ); document.write( "a = 2^2
\n" ); document.write( "a = 4
\n" ); document.write( "Find b
\n" ); document.write( "3*sqrt(4) + 5*sqrt(b) = 31
\n" ); document.write( "3(2) + 5*sqrt(b) = 31
\n" ); document.write( "5*sqrt(b) = 31- 6
\n" ); document.write( "5*sqrt(b) = 25
\n" ); document.write( "sqrt(b) = 25/5
\n" ); document.write( "sqrt(b) = 5
\n" ); document.write( "b = 5^2
\n" ); document.write( "b = 25
\n" ); document.write( "
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