Answer:
-1/6
Step-by-step explanation:
Solve one equation for one variable [tex]v[/tex] then plug it into the other and solve for the other variable [tex]w[/tex] .
[tex]5v+4w=1\\5v = 1-4w\\v = \frac{1-4w}{5}[/tex]
Now plug [tex]v[/tex] into the second equation:
[tex]\\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}[/tex]
