X-y=6 and y=2x-8?

To solve this system of equations, we can substitute the value of y from the second equation into the first equation:

x - (2x - 8) = 6
x - 2x + 8 = 6
-x + 8 = 6
-x = -2
x = 2

Now that we have found the value of x, we can substitute it back into the second equation to find the value of y:

y = 2(2) - 8
y = 4 - 8
y = -4

Therefore, the solution to the system of equations is x = 2 and y = -4.

Given:

X - y = 6 ...(i)
y = 2x - 8 ...(ii)

Substitute equation (ii) into (i):

X - (2x - 8) = 6
X - 2x + 8 = 6
-x + 8 = 6
-x = 6 - 8
-x = -2
x = 2

Now, substitute the value of x back into equation (ii):

y = 2(2) - 8
y = 4 - 8
y = -4

Therefore, the solution to the system of equations is:

x = 2
y = -4