document.write( "Question 1017518: Could you please help me solve this system of linear equations?
\n" ); document.write( "It's -2x+y=1.3 and 2(0.5x-y)=4.6 \n" ); document.write( "

Algebra.Com's Answer #633828 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "-2x+y=1.3 and 2(0.5x-y)=4.6
\n" ); document.write( "I will use elimination method
\n" ); document.write( "for simultaneous equations.
\n" ); document.write( "- 2x + y = 1.3........(1)
\n" ); document.write( "2(0.5x - y) = 4.6.....(2)
\n" ); document.write( "Multiply out Equation (2)
\n" ); document.write( "- 2x + y = 1.3........(1)
\n" ); document.write( "x - 2y = 4.6..........(2)
\n" ); document.write( "Multiply Equation (2) by 2
\n" ); document.write( "- 2x + y = 1.3........(1)
\n" ); document.write( "2x - 4y = 9.2.........(2)
\n" ); document.write( "Add Equations (1) + (2)
\n" ); document.write( "....-3y = 10.5
\n" ); document.write( ".....y = -3.5
\n" ); document.write( "Substitute y = -3.5 into
\n" ); document.write( "Equation (1)
\n" ); document.write( "- 2x + (-3.5) = 1.3........(1)
\n" ); document.write( "-2x - 3.5 = 1.3............(10
\n" ); document.write( "-2x = 1.3 + 3.5
\n" ); document.write( "-2x = 4.8
\n" ); document.write( "x = -2.4
\n" ); document.write( "{x = -2.4 & y = -3.5}
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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