# How do you solve the system #17x - y + 2z = -9#, #x + y - 4z = 8#, #3x - 2y - 12z = 24#?

##### 1 Answer

Solution is

#### Explanation:

These are three linear equations in three variables. To solve them pick two equations and eliminate one variable and then choose another two equations and eliminate the same variable again. This will give us two linear equations in two variables, which can then be solved. The process in case of these equations could be as follows:

Adding first two equations, we can eliminate

We can also eliminate in second and third equation by adding double of second equation in third equation, as follows.

we get

To eliminate

Putting this in equation (B) we get

Putting values in

i.e.

Hence solution is