The answer to the question is C
Answer:
A) 7x + 3y = -8
B) -4x - y = 6 Multiplying B) by 3
B) -12x -3y = 18 then we add A)
A) 7x + 3y = -8
-5x = 10
x = 2
y = -2
Answer is the first one (2, -2)
Step-by-step explanation:
5. The way I do these problems is setting up the equation as follows:
P1V1/T1 = P2V2/T2
The units of volume and pressure can be substituted as given, since they are in relation to one another, however, the final answer must match the units provided in the question. Also, temperature must be converted to Kelvins before the equation can be used.
V1 = 50 cm^3
P1 = 825 Hg/mm
T1 = 15C = 288K
P2 = 750 Hg/mm
T2 = 47C = 320K
V2 = ?
Solve:
P1V1/T1 = P2V2/T2
(825)(50)/(288) = (750)V2/(320)
143.23 = 2.34V2
V2 = 61.21 cm^3
Answer:
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
Step-by-step explanation:
the answer to the question is answer B. and here is the explanation below
let us imagine that the equation ax = b has a solution
now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.
ax = 0 is homogenous
if this equation was consistent for b, we define
ax = b to be a set of vector that has the form
w = m + gh(h is a subscript)
gh is a solution of ax = 0
from what we have above, ax=b is in the form ofw= m+gh
with
m = solution of ax=b
gh = soulution of ax=0
ax = 0 has only trivial solution
gh = 0
with gh = 0
ax=b is w=m
so ax = b is unique.
