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-3x + 3y= 4 -x + y = 3

 Feb 18, 2015

Best Answer 

 #1
avatar+23254 
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Using the method of linear combinations:

   -3x + 3y  =  4   --->                                 -3x + 3y  =  4

     -x +  y  =  3   --->   multiply by -3   --->   3x - 3y  =  -9

Add down the columns:                                 0  +  0  =  -5      --->   0  =  -5

This is impossible to solve.

If you were to graph these two equations, you would get a pair of parallel lines. Since the solution to a pair of equations occurs where the two lines cross and since parallel lines don't cross, there is no solution. 

 Feb 18, 2015
 #1
avatar+23254 
+5
Best Answer

Using the method of linear combinations:

   -3x + 3y  =  4   --->                                 -3x + 3y  =  4

     -x +  y  =  3   --->   multiply by -3   --->   3x - 3y  =  -9

Add down the columns:                                 0  +  0  =  -5      --->   0  =  -5

This is impossible to solve.

If you were to graph these two equations, you would get a pair of parallel lines. Since the solution to a pair of equations occurs where the two lines cross and since parallel lines don't cross, there is no solution. 

geno3141 Feb 18, 2015

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