document.write( "Question 713462: Solve for x and y:
\n" ); document.write( "2/x + 1/y = 4/5
\n" ); document.write( "3/x =5/y = 19/6 \n" ); document.write( "
Algebra.Com's Answer #438439 by persian52(161)\"\" \"About 
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(2)/(x)+(1)/(y)=(4)/(5)\r
\n" ); document.write( "\n" ); document.write( "Move all terms not containing x to the right-hand side of the equation.
\n" ); document.write( "(2)/(x)=(4y-5)/(5y)\r
\n" ); document.write( "\n" ); document.write( "Since there is one rational expression on each side of the equation, this can be solved as a ratio. For example, (A)/(B)=(C)/(D) is equivalent to A*D=B*C.
\n" ); document.write( "2*5y=(4y-5)*x\r
\n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
\n" ); document.write( "(4y-5)*x=2*5y\r
\n" ); document.write( "\n" ); document.write( "Multiply (4y-5) by x to get x(4y-5).
\n" ); document.write( "x(4y-5)=2*5y\r
\n" ); document.write( "\n" ); document.write( "Multiply 2 by 5y to get 10y.
\n" ); document.write( "x(4y-5)=10y\r
\n" ); document.write( "\n" ); document.write( "Multiply x by each term inside the parentheses.
\n" ); document.write( "4xy-5x=10y\r
\n" ); document.write( "\n" ); document.write( "Factor out the GCF of x from 4xy-5x.
\n" ); document.write( "x(4y-5)=10y\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by (4y-5).
\n" ); document.write( "-->Solution x=(10y)/(4y-5)\r
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\n" ); document.write( "\n" ); document.write( "(2)/(x)+(1)/(y)=(4)/(5)\r
\n" ); document.write( "\n" ); document.write( "Move all terms not containing y to the right-hand side of the equation.
\n" ); document.write( "(1)/(y)=(2(2x-5))/(5x)\r
\n" ); document.write( "\n" ); document.write( "Since there is one rational expression on each side of the equation, this can be solved as a ratio. For example, (A)/(B)=(C)/(D) is equivalent to A*D=B*C.
\n" ); document.write( "1*5x=2(2x-5)*y\r
\n" ); document.write( "\n" ); document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
\n" ); document.write( "2(2x-5)*y=1*5x\r
\n" ); document.write( "\n" ); document.write( "Multiply 2 by y to get 2y.
\n" ); document.write( "2y(2x-5)=1*5x\r
\n" ); document.write( "\n" ); document.write( "Multiply 1 by 5x to get 5x.
\n" ); document.write( "2y(2x-5)=5x\r
\n" ); document.write( "\n" ); document.write( "Multiply 2y by each term inside the parentheses.
\n" ); document.write( "4xy-10y=5x\r
\n" ); document.write( "\n" ); document.write( "Factor out the GCF of 2y from 4xy-10y.
\n" ); document.write( "2y(2x-5)=5x\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by (2x-5).
\n" ); document.write( "2y=(5x)/(2x-5)\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 2.
\n" ); document.write( "-->Solution y=(5x)/(2(2x-5))\r
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\n" ); document.write( "\n" ); document.write( "(3)/(x)=(5)/(y)=(19)/(6)\r
\n" ); document.write( "\n" ); document.write( "This equation cannot be solved algebraically.
\n" ); document.write( "No Algebraic Solution
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