Answer:
(L, m, n) = (-23.2, 1.4, -2.6)
Explanation:
You want the solution to the equations ...
Solution
We can use matrix methods to solve these equations, as in the attachment. That tells us the solution is ...
(L, m, n) = (-23.2, 1.4, -2.6)
We can also solve these in ad hoc fashion. Substituting for n in the third equation using the expression in the second equation, we have ...
m = 1 -2/13(m -4)
13m = 13 -2(m -4) . . . . . multiply by 13 to clear fractions
15m = 21 . . . . . . . . . . simplify, add 2m
m = 21/15 = 1.4 . . . . . . . . divide by 15
n = m -4 = 1.4 -4 = -2.6 . . . . . use the second equation to find n
L = m +n -22 = 1.4 -2.6 -22 = -23.2 . . . . use the first equation to find L
The ad hoc solution is also (L, m, n) = (-23.2, 1.4, -2.6).
<95141404393>