document.write( "Question 471468: Examples on how to solve 2 variables in linear equation
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #323340 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
3 x -7 y = 15 .............1
\n" ); document.write( "-5 x + 4 y = -25 .............2
\n" ); document.write( "
\n" ); document.write( "multiply (1)by 4
\n" ); document.write( "Multiply (2) by 7
\n" ); document.write( "12 x -28 y = 60
\n" ); document.write( "-35 x + 28 y = -175
\n" ); document.write( "Add the two equations
\n" ); document.write( "-23 x = -115
\n" ); document.write( "/ -23
\n" ); document.write( "x = 5
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "3 x -7 y = 15
\n" ); document.write( "15 -7 y = 15
\n" ); document.write( " -7 y = 15-15
\n" ); document.write( " -7 y = 0
\n" ); document.write( " y = 0
\n" ); document.write( "(5,0) is the solution\r
\n" ); document.write( "\n" ); document.write( "...\r
\n" ); document.write( "\n" ); document.write( "2 x -3 y = 12 .............1
\n" ); document.write( "4 x + 1 y = 10 .............2
\n" ); document.write( "
\n" ); document.write( "multiply (1)by 1
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "2 x -3 y = 12
\n" ); document.write( "12 x + 3 y = 30
\n" ); document.write( "Add the two equations
\n" ); document.write( "14 x = 42
\n" ); document.write( "/ 14
\n" ); document.write( "x = 3
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2 x -3 y = 12
\n" ); document.write( "6 -3 y = 12
\n" ); document.write( " -3 y = 12 -6
\n" ); document.write( " -3 y = 6
\n" ); document.write( " y = -2 \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "(3-2)is the solution \n" ); document.write( "

\n" );