Answer
There are
51 democrats
49 republicans
Explanation
Let the number of democrats be x
Let the number of republicans be y
Total number of politicians in the senate is 100
And they are all either democrats or republicans
x + y = 100
There are 2 more democrats than republicans.
x = y + 2
We can then write the two equations together and solve
x + y = 100
x = y + 2
y + 2 + y = 100
2y + 2 = 100
2y = 100 - 2
2y = 98
Divide both sides by 2
(2y/2) = (98/2)
y = 49
x = y + 2
x = 49 + 2
x = 51
Hope this Helps!!!