(a) The solution to the system of equation is, x = (d + b)/(ad - cb) and y = (-a - c)/(ad - cb).
(b) The condition at which the solution exists is, ad - cb ≠ 0.
<h3>
Solving the system of equation with Cramer's rule</h3>
ax + by = 1
cx + dy = -1
D = [a b]
[c d]
D = ad - cb
Dx = [1 b]
[-1 d]
Dx = d + b
Dy = [a 1]
[c - 1]
Dy = -a - c
x = Dx/D
x = (d + b)/(ad - cb)
y = Dy/D
y = (-a - c)/(ad - cb)
Cramer's rule applies to the case where the coefficient determinant is nonzero.
Thus, D ≠ 0 (ad - cb ≠ 0).
Learn more about Cramer's rule here: brainly.com/question/10445102
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Answer:

Explanation:
Given data:
mass = 2.00 kg
slope angle = 38.0
From figure
balancing force
.....1
Balancing torque
......2
for pure rolling


from 1 and 2nd equation







N =normal force 

solving for coefficent of friction we get

Answer:
True
Explanation:
Mass burn technology is a type of waste-to-energy technology commonly used in the mass-burn system, where unprocessed municipal solid waste is burned in a large incinerator with a boiler, to generate heat used in the production of electricity.
Answer:
(e) 1.64 kW
Explanation:
The Coefficient of Performance of the Reverse Carnot's Cycle is:



Lastly, the power required to operate the air conditioning system is:



Hence, the answer is E.
The question is incomplete. The complete question is :
The solid rod shown is fixed to a wall, and a torque T = 85N?m is applied to the end of the rod. The diameter of the rod is 46mm .
When the rod is circular, radial lines remain straight and sections perpendicular to the axis do not warp. In this case, the strains vary linearly along radial lines. Within the proportional limit, the stress also varies linearly along radial lines. If point A is located 12 mm from the center of the rod, what is the magnitude of the shear stress at that point?
Solution :
Given data :
Diameter of the rod : 46 mm
Torque, T = 85 Nm
The polar moment of inertia of the shaft is given by :


J = 207.6 
So the shear stress at point A is :



Therefore, the magnitude of the shear stress at point A is 4913.29 MPa.