did i answer it right

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did i answer it right

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That turns the first equation into:

6x - 2y = 18

That way it can easily be added to the second equation:

6x - 2y = 16

x + 2y = 5

---------------

7x = 21

==========

As you can see, the y disappeared, which was the objective of this operation.

Now the equations can be solved easily:

7x = 21

x = 3

Insert x=3 in the original equation:

3*3 - y = 8

9 - y = 8

9 = 8 + y

y = 1

So the result is:

x = 3

y = 1

6x-2y=18

now add

6x - 2y = 16 x + 2y = 5

---------------

7x = 21

==========

y is gone

now it is easy

7x=21

x=21 divide by 7

x=3

now insert it

3*3-y=8

9-y=8

9=8+y

y=1