Question 938340: In a 3*3 grid, Id have put numbers from 1 to 9 so that the sum of the digits in the first row 11 , third row 18 , in the first column 21 and in the third column 17.
___ ____ ____ -11
___ ____ _____
___ ____ _____ -18
-21 - -17
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Four equations, linear, in four unknown variables.
Your chart is confusing and not just like the description, so the equations could be:
w+x=11
y+z=18
w+y=21
x+z=17
The description does not indicate negative constants.
Substitution throughout could work, but you might want to uses elementary row operations for the equations in a form, aw+bx+cy+dz=k, for the variables w, x, y, z.
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 ,
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Newer system
Take that middle equation, and use  .
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Contradictory, w+x=11 and w+x=20, cannot be!
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