Question 71908
{{{2a + 4c + 6j + 5t + 3y = 182}}}
{{{2a + 0c + 6j + 0t + 3y = 87}}}
{{{2a + 4c + 0j + 0t + 3y = 79}}}
{{{2a + 0c + 0j + 5t + 3y = 94}}}
{{{2a + 4c + 0j + 5t + 0y = 113}}}
First, I would subtract the 2nd  from the 1st
That will give me c in terms of t
{{{ 2a + 4c + 6j + 5t + 3y = 182}}}
{{{-2a - 0c - 6j - 0t - 3y = -87}}}
{{{4c + 5t = 95}}}
Then, if I subtract the 4th from the 5th
{{{-2a - 0c - 0j - 5t - 3y = -94}}}
{{{ 2a + 4c + 0j + 5t + 0y = 113}}}
{{{4c - 3y = 19}}}
Now I subtract the 3rd from the 2nd
{{{ 2a + 0c + 6j + 0t + 3y = 87}}}
{{{-2a - 4c - 0j - 0t - 3y = -79}}}
{{{-4c + 6j = 8}}}
Now I'll add the 3rd to the 5th
{{{2a + 4c + 0j + 0t + 3y = 79}}}
{{{2a + 4c + 0j + 5t + 0y = 113}}}
{{{4a + 8c + 0j + 5t + 3y = 192}}}
I'll subtract the 4th from this
{{{ 4a + 8c + 0j + 5t + 3y = 192}}}
{{{-2a - 0c - 0j - 5t - 3y = -94}}}
{{{2a + 8c = 98}}}
Putting my results together
{{{4c + 5t = 95}}}
{{{4c - 3y = 19}}}
{{{-4c + 6j = 8}}}
{{{8c + 2a = 98}}}
Now I'll rearrange them
{{{5t = 95 - 4c}}}
{{{3y = 4c - 19}}}
{{{6j = 4c + 8}}}
{{{2a = 98 - 8c}}}
Now plug these (5t,3y,6j,2a) into the 5th
{{{2a + 4c + 0j + 5t + 0y = 113}}}
{{{98 - 8c + 4c + 95 - 4c  = 113}}}
combine terms
{{{ 98 - 8c + 95 = 113}}}
{{{-8c = 113 - 193}}}
{{{8c = 80}}}
{{{c = 10}}}
from above
{{{5t = 95 - 4*10}}}
{{{3y = 4*10 - 19}}}
{{{6j = 4*10 + 8}}}
{{{2a = 98 - 8*10}}}
solving
{{{5t = 95 - 40}}}
{{{t = 11}}}
{{{3y = 40 - 19}}}
{{{y = 7}}}
{{{6j = 40 + 8}}}
{{{j = 8}}}
{{{2a = 98 - 80}}}
{{{a = 9}}}
So, I have
{{{a = 9}}}
{{{c = 10}}}
{{{j = 8}}}
{{{t = 11}}}
{{{y = 7}}}
It looks like you're the lowest paid employee
check the results by plugging into all the original equations, like
{{{2a + 4c + 6j + 5t + 3y = 182}}}
{{{2*9 + 4*10 + 6*8 + 5*11 + 3*7 = 182}}}
{{{18 + 40 + 48 + 55 + 21 = 182}}}
{{{182 = 182}}}
You can check the rest