document.write( "Question 229575: system of equations/elimination method\r
\n" ); document.write( "\n" ); document.write( "0.3x - 0.2y = 4
\n" ); document.write( "0.2x + 0.5y = 1 \n" ); document.write( "

Algebra.Com's Answer #170176 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
system of equations/elimination method
\n" ); document.write( "0.3x - 0.2y = 4
\n" ); document.write( "0.2x + 0.5y = 1
\n" ); document.write( "--------------------
\n" ); document.write( "Get rid of the decimals:
\n" ); document.write( "3x - 2y = 40
\n" ); document.write( "2x + 5y = 10
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply 1st Eq. by 2 and 2nd equation by 3 to get:
\n" ); document.write( "6x - 4y = 80
\n" ); document.write( "6x + 15y = 30
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract 1st from 2nd to get:
\n" ); document.write( "19y = -50
\n" ); document.write( "y = -50/19
\n" ); document.write( "--------------------
\n" ); document.write( "Substitute into 2x+5y=10 to solve for \"x\":
\n" ); document.write( "2x + 5(-50/19) = 10
\n" ); document.write( "2x - 250/19 = 190/19
\n" ); document.write( "2x = 440/19
\n" ); document.write( "x = -220/19
\n" ); document.write( "------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );