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Help with simple looking (but not!) problem?
Let's suppose I have two tables X and Y. Both tables contain two elements so X = (5,3) and Y = (4,1).
Now suppose I don't know the values of the elements. But I do know the results of their addition. So I can write four equations representing the addition of each combination of table elements:
x1 + y1 = 9
x1 + y2 = 6
x2 + y1 = 7
x2 + y2 = 4
Am I right in thinking, actually, I can't work out the table elements based on these equations other than by making a 'logical guess' at the value of one of them?
2 Answers
- SqdancefanLv 75 years agoFavorite Answer
You have four equations in four unknowns. Unfortunately, the system of equations is dependent, so has an infinite number of solutions.
.. x1 = 6 - y2
.. x2 = 4 - y2
.. y1 = 3 + y2
.. y2 = anything you like.
- DrakeLv 55 years ago
x₁ + y₁ = 9
x₁ + y₂ = 6
x₂ + y₁ = 7
x₂ + y₂ = 4
y₁ = 9 - x₁
x₂ + (9 - x₁) = 7
x₂ = x₁ - 2
(x₁ - 2) + y₂ = 4
y₂ = -x₁ + 6
x₁ + (-x₁ + 6) = 6
0 = 0
There is no certain solution that I could find! Could not obtain a certain value of anything.
