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How to solve 5x-5y= -20 and what would be the value of x-y??? Please show step by step

 May 30, 2017
 #1
avatar+7352 
+2

5x - 5y = -20

 

We can divide through by 5, which gives us

x - y = -4

 May 30, 2017
 #2
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But what is y and what is x?

 May 30, 2017
 #3
avatar+7352 
+2

x = y - 4

y = 4 - x

 

If you want a specific solution, like a number, there is not just one solution, for example..

x = 1     and     y = 5

 

or....

x = 0     and     y = 4

 

or....

x = -10     and     y = -6

 

Pick any number for x, and you can find one for y that will make the equation true (and vice versa).

 

So, there are infinitely many solutions to this.

 

The graph of all these solutions will be a straight line that will look like this:

 https://www.desmos.com/calculator/ars33alejx

 

Hope that made some sense! :)

hectictar  May 30, 2017
edited by hectictar  May 30, 2017

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