What is the value of F in the following system of equations?
| A + B = Z | (1) | Z + P = T | (2) |
| T + A = F | (3) |
| B + P + F = 30 | (4) |
| A = 8 | (5) |
Solution:
F = 23
- Here is the complete solution:
- Substituting equation (1) in equation (2)
gives
A + B + P = T - Substituting equation (5) in this last
equation gives
8 + B + P = T (6) - Substitute equation (3) in equation (4) to
get
B + P + T + A = 30 - Substituting equation (5) in this last
equation gives
22 - B - P = T (7) - Adding equations (6) and (7) gives the
following:
30 = 2T
So T = 15 (8) - Substitute equations (5) and (8) in equation
(3) gives
F = 15 + 8 = 23
Correctly solved by:
| 1. Jia Ran | Rome, Italy |
| 2. Tom Marino | Winchester, VA |
| 3. Bob Hearn | Winchester, VA |
| 4. Court Pifer | Winchester, VA |
| 5. Chip Crawford | Winchester, VA |
| 6. Richard Mocarski | Winchester, VA |