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.