Solving a system of equations we can see that the 4 numbers, from top right to bottom left, are:
4.5, -4.5, 7.5, 6.5
How to find the numbers?
Here we have 4 numbers, let's call them as:
A, B, C, and D
(the positions are)
A B
C D
Here we can write a system of 4 equations (notice that one of the operations is missing, it would be the operation between C and D that is equal to 14, I assume that it is a sum)
A - B = 9
A + C = 12
B + D = 2
C + D = 14
First, we can isolate A in the first equation so we get:
A = 9 + B
And replace that on the second equation, so now our system is:
(9 + B)+ C = 12
B + D = 2
C + D = 14
Notice that now our system has 3 equations and 3 variables (we reduced one variable).
Now we do the same thing again, isolate one variable in one equation and then replace it in the others.
Isolating B on the first equation we get:
9 + B + C = 12
B = 12 - C - 9
B = 3 - C
The other two equations are:
B + D = 2
C + D = 14
Replacing B in the top one we get:
(3 - C) + D = 2
C + D = 14
Now we can isolate C in the second equation to get:
C = 14 - D
And replace that in the other equation so we get a linear equation that depends on only one variable:
(3 - (14 - D)) + D = 2
3 + D - 14 + D = 2
2*D = 2 - 3 + 14
2*D = 13
D = 13/2 = 6.5
Now that we know the value of D, we can get the other numbers:
C = 14 - D = 14 - 6.5 = 7.5
B = 3 - C = 3 - 7.5 = -4.5
A = 9 + B = 9 - 4.5 = 4.5
Then the 4 numbers, from top right to bottom left, are:
4.5, -4.5, 7.5, 6.5
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
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