To solve the simultaneous equations x - y = 5 and 2x - y = 13, we can use the elimination method.
First, we can multiply the first equation by 2 to eliminate the x term:
2(x - y = 5) gives us 2x - 2y = 10.
Next, we can subtract the second equation from this equation to eliminate the y term:
(2x - 2y = 10) - (2x - y = 13) gives us -y = -3.
Finally, we can solve for y by dividing both sides by -1:
-y/-1 = -3/-1 gives us y = 3.
Now that we know y = 3, we can substitute this value back into either of the original equations to solve for x.
Using the first equation, we have:
x - y = 5
x - 3 = 5
x = 8
Thus, the solution to the simultaneous equations x - y = 5 and 2x - y = 13 is x = 8 and y = 3.