solve the simultaneous equation: x=y+1 and x+2y=7

We can start by using substitution to solve for one of the variables. From the first equation, we know that x = y + 1. We can substitute this expression for x in the second equation:

x + 2y = 7
(y + 1) + 2y = 7 (substituting x = y + 1)
3y + 1 = 7
3y = 6
y = 2

Now that we know y = 2, we can substitute this value into either equation to solve for x:

x = y + 1
x = 2 + 1
x = 3

Therefore, the solution to the simultaneous equation x = y + 1 and x + 2y = 7 is x = 3 and y = 2.