5x+y=5 4x-7y=43

Using the first equation, we have 

y = 5 - 5x        And substituting this into the second equation, we have

4x - 7(5 - 5x) = 43

4x - 35 + 35x = 43     simplifying, we have

39x - 35 = 43            add 35 to both sides

39x = 78                   divide by 39 on both sides

x = 2    

And, using y = 5 - 5x, we have    

y = 5 - 5(2)  

y = 5 - 10

y = -5

You should verify that these answers are correct......!!!

CPhill is right, it's always a good habit to double check (or verify) your answers.

You are probably aware of how to do this, but I'll show you how to do it if your not familiar.

To check it, you simply put in the values of x and y into one of the equations like so:

4x-7y=43         ---This is the second equation that was given

4(2) - 7(-5) = 43

8 - (-35) = 43   

8 + (+35) = 43              ---Subtracting a minus ifs the same thing as adding a postitive

43 = 43

And 43 does equal 43, so we know our answer is right!

Thanks, ND......!!!