document.write( "Question 57293: Solve the system by using the addition method. -0.1x+0.05y=5 and 0.05x+0.06y=2.7 What is x? \n" ); document.write( "
Algebra.Com's Answer #38995 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system by using the addition method. \n" ); document.write( "L1) -0.1x+0.05y=5 \n" ); document.write( "L2) 0.05x+0.06y=2.7 \n" ); document.write( ": \n" ); document.write( "It's probably easiest to eliminate all of the decimals and solve as usual. Multiply L1 and L2 by 100 \n" ); document.write( "100(-0.1x+0.05y=5)-------->-10x+5y=500 \n" ); document.write( "100(0.05x+0.06y=2.7)------>5x+6y=270 \n" ); document.write( "Now multiply your new L2 by 2 and add the two equations together: \n" ); document.write( "L2) 2(5x+6y=270)----->10x+12y=540 \n" ); document.write( ": \n" ); document.write( "-10x+5y=500 \n" ); document.write( "+10x+12y=540 \n" ); document.write( "________________ \n" ); document.write( "0x+17y=1040 \n" ); document.write( "17y=1040 \n" ); document.write( "17y/17=1040/17 \n" ); document.write( "y=61.17647059 Round off to whatever your teacher asks for. \n" ); document.write( "Plug that in for y in one of the equations and solve for x. \n" ); document.write( "-0.1x+0.05(61.17647059)=500 \n" ); document.write( "-0.1x+3.0588235=5 \n" ); document.write( "-0.1x=5-3.0588235 \n" ); document.write( "-0.1x=1.9411765 \n" ); document.write( "-0.1x/-0.1=1.9411765/-0.1 \n" ); document.write( "x=-19.411765 \n" ); document.write( "The solultion is (-19.411765,61.176470), if I was your teacher I'd probably have you round it off to: (-19.41,61.18) \n" ); document.write( "Happy Cacluating!!! \n" ); document.write( " |