document.write( "Question 509031: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
\n" ); document.write( "4x + 8y = 16
\n" ); document.write( "-2x + 5y = 55 \n" ); document.write( "

Algebra.Com's Answer #341240 by mananth(16946) $\"\"$ $\"About$

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4 x + 8 y = 16 .............1
\n" ); document.write( "-2 x + 5 y = 55 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -5
\n" ); document.write( "Multiply (2) by 8
\n" ); document.write( "-20 x -40 y = -80
\n" ); document.write( "-16 x 40 y = 440
\n" ); document.write( "Add the two equations
\n" ); document.write( "-36 x = 360
\n" ); document.write( "/ -36
\n" ); document.write( "x = -10
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "4 x + 8 y = 16
\n" ); document.write( "-40 + 8 y = 16
\n" ); document.write( " 8 y = 16 + 40
\n" ); document.write( " 8 y = 56
\n" ); document.write( " y = 7\r
\n" ); document.write( "\n" ); document.write( "Solution (-10,7) \n" ); document.write( "

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