1. ## Can anyone help please with this system of equations

If

A + C = A
F x D = F
B - G = G
A + H = E
B / H = G
E - G = F

and A-H represent the numbers from 0 to 7

Find the values of A, B, C, D, E, F and H.

2. Originally Posted by Natasha1
If

A + C = A
F x D = F
B - G = G
A + H = E
B / H = G
E - G = F

and A-H represent the numbers from 0 to 7

Find the values of A, B, C, D, E, F and H.
what have you tried so far? as far as i can see, you can determine the values of C and D pretty easily from the first two equations. what have you tried to determine the others?

3. Hint:
A + C = A ---> C should be 0
F x D = F ---> D should be 1
B - G = G ----> B = 2G, so B can be: 4,6, and G = 2,3
A + H = E
B / H = G --->B = 2G, so 2G / H = G, so H = 2
E - G = F

G can't be 0,1,2 because they are taken
G can't be 4 or more, because B would be more than 7
Thus, G is 3
B is 6

Take it from there

4. So, so far I have

A + 0 = A
F x 1 = F
6 - 3 = 3
A + 2 = E
6 / 2 = 3
E - 3 = F

But how can i get A, E and F please?

5. Originally Posted by Natasha1
So, so far I have

A + 0 = A
F x 1 = F
6 - 3 = 3
A + 2 = E
6 / 2 = 3
E - 3 = F

But how can i get A, E and F please?
By inspection, A = 5, E = 7, F = 4