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Elimination method?

Let's do it like this

Align the two equation

   7x  - 4y =  19
+17x - 2y  = -31

Let's begin with

19 + (-31)

unlike terms will be subtracted and take the sign of the bigger number

So it will be -12


-4y + -2y

Like terms will be added and copy the sign of the two

So it will be -6y


7x + 17x


So it will be 24x

We may now combine the three

24x - 6y = -12

That's it

We may divide all by 6 to simplify

(24x - 6y)/6 = -12/6

So it will be

4x - y = 2

That's it again

I hope it helps
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