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Explain the steps you would follow to eliminate the variable x in each system of equations. Then solve the system.\r
\n" ); document.write( "\n" ); document.write( "6. 2x-y=6
\n" ); document.write( " 3x+4y=-2
\n" ); document.write( "Multiply thru the 1st equation by 3 to get:
\n" ); document.write( "6x-3y=18
\n" ); document.write( "Multiply thru the 2nd equation by 2 to get:
\n" ); document.write( "6x+8y=-4
\n" ); document.write( "Solve:
\n" ); document.write( "Subtract the 1st from the second to get:
\n" ); document.write( "11y=-22
\n" ); document.write( "y=-2
\n" ); document.write( "Substitute to solve for \"x\":
\n" ); document.write( "2x-(-2)=6
\n" ); document.write( "2x+4=6
\n" ); document.write( "x=1
\n" ); document.write( "--------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Explain the steps you would follow to eliminate the variable y in each system of equations. Then solve the system.\r
\n" ); document.write( "\n" ); document.write( "8. 4x+7y=6
\n" ); document.write( " 6x+5y=20
\n" ); document.write( "Multiply the 1st equation by 5 to get:
\n" ); document.write( "20x+35y=30
\n" ); document.write( "Multiply the 2nd equation by 7 to get:
\n" ); document.write( "42x+35y=140
\n" ); document.write( "--------
\n" ); document.write( "Solve:
\n" ); document.write( "Subtract 1st from 2nd to get:
\n" ); document.write( "22x=110
\n" ); document.write( "x=5
\n" ); document.write( "Substitute to solve for y:
\n" ); document.write( "4*5+7y=6
\n" ); document.write( "7y=-14
\n" ); document.write( "y=-2
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "