How can I use elimination and substitution in complicated math equations?

Example 1: Solve the system of equations by elimination

Elimination Method Example

Solution:

In this example we will "cancel out" the y term. To do so, we can add the equations together.

Elimination Method Solution

Now we can find: x = 2

In order to solve for y, take the value for x and substitute it back into either one of the original equations.

Elimination Method Solution

The solution is (x, y) = (2, 1).