If a+b+c = 10, a+b=7, a-b = 5, what is the value of c?

based on the first 2 examples it gave, c should be equal to 3. the last one does not seem to be needed for the answer, and is probably just there to make it harder sort of.

The value of c is 2

Step-by-step explanation:

a+b+c=10 a+b=7 a-b=5

a + b = 7 a - b = 5 a + b = 7 a - b = 5

-b - b + b + b - a - a - a - a

a = 7 - b a = 5 + b b = 7 - a - b = 5 - a

7 - b = 5 + b 7 - a = - 5 + a

+b + b + a + a

7 = 5 + 2b 7 = - 5 + 2a

-5 - 5 + 5 + 5

2 = 2b 14 = 2a

1 = b 7 = a

7 + 1 + c = 10

8 + c = 10

-8 - 8

c = 2