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Solution :
\n" ); document.write( "To solve using the elimination method we first eliminate one of the variable with same co-efficient but opposite signs and then find the solution . \r
\n" ); document.write( "\n" ); document.write( "0.2x+0.3y=.08.......(1)
\n" ); document.write( "0.3x+0.4y=1.3.......(2)
\n" ); document.write( "To simplify it we will multiply each term by 10 we get ,
\n" ); document.write( "2x + 3y = 0.8......(1)
\n" ); document.write( "3x + 4y = 13.......(2)
\n" ); document.write( "Multiply (1) by 4 and the (2) by 3 ,
\n" ); document.write( "We get ,
\n" ); document.write( "8x + 12y = 3.2....(1)
\n" ); document.write( "9x + 12y = 39 ....(2)
\n" ); document.write( "Subtracting both the equation we get , \r
\n" ); document.write( "\n" ); document.write( " 8x + 12y = 3.2
\n" ); document.write( " - 9x + 12y = 39
\n" ); document.write( " - - -
\n" ); document.write( "-------------------
\n" ); document.write( " - x + 0 y = - 35.8
\n" ); document.write( "So we have x = 35.8
\n" ); document.write( "Now plug the x = 35.8 in one of the equation we get ,
\n" ); document.write( "3 * (35.8) + 4y = 13
\n" ); document.write( " y = - 23.6\r
\n" ); document.write( "\n" ); document.write( "So the solution is (35.8 , -23.6)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you . \n" ); document.write( "