Determine which of () form a solution to the given system for any choice of the free parameter.
(hint: all parameters of a solution must cancel completely when substituted into each equation.)

3x1 + 8x2 - 14x3= 9

x1 + 3x2 - 4x3 = 2

(a) (9 - 2s1, 3 + 3s1,s1) solution not a solution

(b) (-4 - 5s1 -(3 + s1)/2) solution not a solution

(c) (11 + 10s1, -3 - 2s1, s1) solution not a solution

(d) ((6 - 4s1)/3, s1, -(7 - s1)/4) solution not a solution

(c) (11 + 10s1, -3 - 2s1, s1) solution not a solution

Step-by-step explanation:

For this case we have the following two equations:

  (1)

  (2)

Let the free parameter for . Let's solve from equation (1) and we got:

  (3)

Now let's replace equation (3) into equation (2) and we got:

And now w can solve for like this:

Now since we have the value for in terms of the free parameter we can replace into equation (3) and we got:

So then our solution in terms of the free parameter would be:

So the correct solution would be:

(c) (11 + 10s1, -3 - 2s1, s1)

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.