document.write( "Question 1036601: I am trying to solve this equation by using the Elimination by Addition Method:
\n" ); document.write( "-7x+4y=-1 and 5x-3y=0\r
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\n" ); document.write( "\n" ); document.write( "Subsitution method:\r
\n" ); document.write( "\n" ); document.write( "2x-3y=5 and y=2x-7\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help
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Algebra.Com's Answer #651285 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "-7x + 4y = -1.....(1)
\n" ); document.write( " 5x - 3y = 0......(2)
\n" ); document.write( "Multiply Eq(1) by 3
\n" ); document.write( "Multiply Eq(2) by 4
\n" ); document.write( "-21x + 12y = -3...(1)
\n" ); document.write( " 20x - 12y = 0 ...(2)
\n" ); document.write( "Add Eq(1) to Eq(2)
\n" ); document.write( "-x ........=-3
\n" ); document.write( " x ........= 3
\n" ); document.write( "Substitute x = 3 into
\n" ); document.write( "Eq(1)
\n" ); document.write( "-7x + 4y = -1.....(1)
\n" ); document.write( "-7(3) + 4y = -1
\n" ); document.write( "-21 + 4y = -1
\n" ); document.write( "4y = -1 + 21
\n" ); document.write( "4y = 20
\n" ); document.write( "y = 5
\n" ); document.write( "{3,5} Elimination Method.
\n" ); document.write( "........
\n" ); document.write( "2x - 3y = 5.......(1)
\n" ); document.write( "y = 2x - 7 .......(2)
\n" ); document.write( "Substitute (2x - 7)for
\n" ); document.write( "the y into Eq(1)
\n" ); document.write( "2x - 3y = 5.......(1)
\n" ); document.write( "2x -3(2x - 7) = 5
\n" ); document.write( "multiply out
\n" ); document.write( "2x - 6x + 21 = 5
\n" ); document.write( "you now have an equation in x
\n" ); document.write( "Collect like terms
\n" ); document.write( "-4x = 5 - 21
\n" ); document.write( "-4x = -16
\n" ); document.write( "x = 4
\n" ); document.write( "Substitute x = 4 into
\n" ); document.write( "Eq(2)
\n" ); document.write( "y = 2x - 7 .......(2)
\n" ); document.write( "y = 2(4) - 7
\n" ); document.write( "y = 8 - 7
\n" ); document.write( "y = 1
\n" ); document.write( "{4,1) Substitution Method
\n" ); document.write( "Hope this helps :-)\r
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