What is the result of adding the system of equations?
2x + y = 4, 3x - y = 6

Solution:

Given: A system of linear equations

2x + y = 4

3x - y = 6

By adding both the equations, we eliminate the variable y.

5x = 10

Dividing both sides by 5

x = 2

Substituting the value of 2 in either of the equations

2x + y = 4

2 (2) + y = 4

By further calculation

4 + y = 4

y = 4 - 4 = 0

Therefore, the result of adding the system of equations is (2, 0).

What is the result of adding the system of equations?

Summary:

The result of adding the system of equations 2x + y = 4 and 3x - y = 6 is (2, 0).