What is the value of w in the solution to the following system of linear equations? 5v+4w=1 3v-6w=2 a) - 7/18 b) - 1/6 c) - 1/9 d) 1/3

For this case we have a system of two linear equations with two igcognitas, given by:

Where v and w are the unknowable variables.

To solve, we perform the following steps:

1st step:

We multiply the first equation by 3:

2nd step:

We multiply the second equation by -5:

3rd step:

We add the equations:

We have then:

Thus, the value of w is .

4th step:

We substitute in any of the equations:

So, the value of v is

The value of w is