X-y = 2

6x + 4y = 92

First, let's rearrange the first equation so we can know what y equals to.

So, (x - y = 2) becomes (y = x - 2).

Now, we can plug this into the second equation so we can find x.

6x + 4 (x - 2) = 92

6x + 4x - 8 = 92

10x - 8 = 92

10x = 100

x = 10

Now that we know x equals 50, we can plug this into either equations to find y. Let's use the first equation.

10 - y = 2

-y = - 8

y = 8

Now, let's check our work by plugging int eh values of x and y for both equations.

First equation:

10 - 8 = 2

Second equation:

6 (10) + 4 (8) = 92

60 + 32 = 92

So, the values of x and y are correct.