Question

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
D1/3

Answer 1

-1/6

Explanation:

Answer 2

-1/6

Explanation:

Solve one equation for one variable
`v` then plug it into the other and solve for the other variable
`w` .

`5v+4w=1\\5v = 1-4w\\v = (1-4w)/(5)`

Now plug
`v` into the second equation:

`\\3((1-4w)/(5)) - 6w = 2\\3((1-4w)/(5)) = 2+ 6w \\(3-12w)/(5) = 2+ 6w\\3-12w = 10+ 30w\\-42w = 7\\w = (7)/(-42) \\w =-(1)/(6)`