To find the result of adding the two equations, we simply add the left-hand sides and the right-hand sides of the equations separately.
The equations are:
- 1) 2x + y = 4
- 2) 3x + y = 6
Now, let’s add them together:
(2x + y) + (3x + y) = 4 + 6
This simplifies to:
2x + 3x + y + y = 10
Which simplifies further to:
5x + 2y = 10
So, the result of adding the system of equations is:
5x + 2y = 10
This new equation represents a line that is the combination of both original equations, and its solutions will give a set of points that are common to both equations.