To solve: ((x-2y=2),(2x+3y=11),(y-4z=-7))

BenoguigoliB 2020-10-21 Answered

To solve:
(x2y=22x+3y=11y4z=7)

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Alara Mccarthy
Answered 2020-10-22 Author has 85 answers

Calculation:
We have to solve
x2y=2(1)
2x+3y=11(2)
y4z=7(3)
We have to choose equation 1 and equation 2 and eliminate the same variable x.
Multiply both sides of first equation by -2 and we have to add equation 1 and 2, we get
(1)×22x+4y=4
(2)2x+3y=11
7y=7
y=1
Now we have to choose a different pair of equations and eliminate the same variable.
Substitude y=1 in equation 1, we get
x2y=2
x2(1)=2
x2=2
x=2+2
x=4
Substitute y=1 in equation 3, we get
y4z=7
14z=7
4z=71
4z=8
Divide both sides by -4
4z4=84
z=2
The solution set for the system is {(4, 1, 2)}
To check:
Substitute x=4,y=1 in equation 1
x2y=2
42(1)=2
42=2
2=2[True]
Substitute x=4,y=1 in equation 2
2x+3y=11
2(4)+3(1)=11
8+3=11
11=11 [True]
Substitute y=1,z=2 in equation 3
y4z=7
14(2)=7
18=7
7=7 [True]
The solution set ={(4,1,2)}
Conclusion:
The solution set for the system is {(4, 1, 2)}

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-01-10
A 730-N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2 kg physics textbook horizontally toward the north shore , at a speed of 5.0 m/s. How long does ittake him to reach the south shore?
asked 2021-02-21
A 5.00 kg package slides 1.50 m down a long ramp that is inclined at 12.0 below the horizontal. The coefficient of kinetic friction between the package and the ramp is k =0.310. Calculate
(a) the work done on the package by friction (b) the workdone on the package by gravity (c) the work done on the package bythe normal force (d) the total work done on the package (e) Ifthe package has a speed of 2.20 m/s at the top of the ramp, what isits speed after sliding 1.50 m down the ramp?
asked 2021-03-07
When a car stops suddenly, the passengers tend to move forward relative to their seats. Why? When a car makes a sharp turn, the passengers tend to slide to one side of the car. Why?
asked 2021-08-17

Jones figures that the total number of thousands of miles that a used auto can be driven before it would need to be junked is an exponential random variable with parameter 120.
Smith has a used car that he claims has been driven only 10,000 miles.
If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?
Repeat under the assumption that the lifetime mileage of the car is not exponentially distributed but rather is (in thousands of miles) uniformly distributed over (0, 40).

asked 2021-02-25
Two parallel wirescarrying equal currents of 10 A attract each other with a force of1 mN. If both currents are doubled, the force of attraction willbe:
a)1 mN
b)4 mN
c)0.5 mN
d)0.25 mN
asked 2021-11-22
A block oscillating on a spring has an amplitude of 20 cm. What will be the amplitude if the maximum kinetic energy is doubled?
asked 2021-12-22
A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 20.0 m/s at an angle of 53.08 to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar?

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question