document.write( "Question 558688: Solve one using elimination and one using substitution;\r
\n" ); document.write( "\n" ); document.write( "1)4x-y=10
\n" ); document.write( " -3x+y=-6\r
\n" ); document.write( "\n" ); document.write( "2)5x-3y=16
\n" ); document.write( " 2x+7y=-10 \n" ); document.write( "

Algebra.Com's Answer #363127 by mananth(16946) $\"\"$ $\"About$

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4 x -1 y = 10 .............1
\n" ); document.write( "-3 x + 1 y = -6 .............2
\n" ); document.write( "
\n" ); document.write( "Add the two equations
\n" ); document.write( " x = 4
\n" ); document.write( "/ 1
\n" ); document.write( "x = 4
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "4 x + -1 y = 10
\n" ); document.write( "16 + -1 y = 10
\n" ); document.write( " -1 y = 10 -16
\n" ); document.write( " -1 y = -6
\n" ); document.write( " y = 6\r
\n" ); document.write( "\n" ); document.write( "(4,6)\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "5 x -3 y = 16 .............1
\n" ); document.write( "7 y = -10 -2 x ---------2
\n" ); document.write( "/ 7 =
\n" ); document.write( " y = -1.43 -0.29 x
\n" ); document.write( "Substitute y in (1)
\n" ); document.write( "5 x -3 ( -1.43 -0.29 x ) =
\n" ); document.write( "5 x + 4.29 + 0.86 x = 16
\n" ); document.write( "5 x + 0.86 x = 16 -4.29
\n" ); document.write( "5.86 x = 11.71
\n" ); document.write( "/ 5.86
\n" ); document.write( "x= 2
\n" ); document.write( "Plug the value of x in (1)
\n" ); document.write( "5 x -3 y = 16
\n" ); document.write( "5 * 2 -3 y = 16
\n" ); document.write( "10 -3 y = 16
\n" ); document.write( "-3 y = 6
\n" ); document.write( "/ -3 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(2,-3)\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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