First, set up the equation
9s + 6L = 186
4s + 5L = 127
To use elimination we need to have the value of the s or L be equal and opposite. If we work with the L variable, we can multiply the top equation by 5 and the bottom equation by -6, giving us:
45s + 30L = 930
-24s - 30L = -762
Now add the like terms and you get the following:
21s = 168
s = 8
Plug 8 into either equation and solve for L
4s + 5L = 127
4(8) + 5L = 127
32 + 5L = 127
5L = 95
L = 19
s=8, L=19
