Question

What is the value of w in the solution to the following system of linear equations ?

Answer 1

Answer:

-1/6

Step-by-step explanation:

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

$5v+4w=1\\5v = 1-4w\\v = \frac{1-4w}{5}$

Now plug $v$ into the second equation:

$\\3(\frac{1-4w}{5}) - 6w = 2\\3(\frac{1-4w}{5}) = 2+ 6w \\\frac{3-12w}{5} = 2+ 6w\\3-12w = 10+ 30w\\-42w = 7\\w = \frac{7}{-42} \\w =-\frac{1}{6}$

Answer 2

Answer:

-1/6

Step-by-step explanation: