Answer:
A=6
B=9
Step-by-step explanation:
There are many possible solutions, but here are a few:
* A=6 and B=9
* A=9 and B=6
* A=12 and B=3
* A=3 and B=12
To find all the solutions, we can use the elimination method. First, multiply both sides of the equation by 18A. This gives us:
18 + 36B = 126
Subtract 18 from both sides to get:
36B = 108
Divide both sides by 36 to get:
B = 3
Now that we know B, we can plug it back into the original equation to solve for A. This gives us:
1/A + 2/(3) = 7/18
1/A = 7/18 - 2/3
1/A = 1/9
A = 9
Therefore, one solution is A=9 and B=3. We can find another solution by swapping the values of A and B. This gives us A=3 and B=9. We can also find other solutions by multiplying both sides of the equation by any positive number. For example, if we multiply both sides by 2, we get:
2/A + 4/B = 14/18
This gives us the solution A=6 and B=9
