solve for the variables

Question

solve for the variables A through F using the digits 0 through 5. every digit should only be used once in each problem. A variable should have the same value everywhere it occurs and no other variable should have the same value.

 

1-A+A+A=A²

2-B+C=B

3-D*E=D

4-A-E=B

5-B²=D

6-D+E=F

Answer 1

A=3

C must be 0 to make 2 true

E must be 1 to make 3 true

that leaves 2,4,5

from eqn 5, 2^2 =4  so B=2, D=4

that leaves f=5 

does it check  lets consolidate our answers before we check

A=3

B=2

C=0

D=4

E=1

F=5

 

1.  3+3+3=9

2. 2+0=2

3. 4*1=4

4. 3-1=2

5. 2^2=4

6.  4+1=5  They all check