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solve the following system of linear equations x-5y=7 and 10y=2x+5

 Oct 13, 2014

Best Answer 

 #1
avatar+130511 
+5

x-5y=7 and 10y=2x+5   rearranging, we have

   x    - 5y   =  7

-2x + 10y =    5        If I multiply the first equation by -2, we have

 

-2x + 10y = -14        But, notice that the second equation says that  -2x + 10y = 5

So this system does not have a solution because the same left sides of two equations can't have a different right side. It's like adding 2 + 3 and getting two different answers !!!!

 

 Oct 13, 2014
 #1
avatar+130511 
+5
Best Answer

x-5y=7 and 10y=2x+5   rearranging, we have

   x    - 5y   =  7

-2x + 10y =    5        If I multiply the first equation by -2, we have

 

-2x + 10y = -14        But, notice that the second equation says that  -2x + 10y = 5

So this system does not have a solution because the same left sides of two equations can't have a different right side. It's like adding 2 + 3 and getting two different answers !!!!

 

CPhill Oct 13, 2014

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