x + y + z = 100 and 2x + 4y + z/4 = 100 Then find the value of x , y and z?
Answers
The Answer is:
x = 150
y = (-50)
z = 0
Solution:
2x + 4y + z/4 = 100 ---> Equation 1
x + y + z = 100 ---> Equation 2
In this 1 and 2 equation first, remove the x term
Equation 1 * 1 ==> 2x + 4y + (z/4) = 100 ---> Equation 3
Equation 2 * 2 ==> 2x + 2y + 2z = 100 ---> Equation 4
Solve Equation 3 and 4 we get,
8y -7z = (-400) ---> Equation 5
In this 1 and 2 equation first, remove the y term
Equation 1 * 1 ==> 2x + 4y + (z/4) = 100 ---> Equation 6
Equation 2 * 4 ==> 4x + 4y + 4z = 400 ---> Equation 7
Solve Equation 6 and 7 we get,
8x + 5z = 1200 ---> Equation 8
In this 1 and 2 equation first, remove the z term
Equation 1 * 8 ==> 16x + 32y + 2z = 800 ---> Equation 9
Equation 2 * 2 ==> 2x + 2y + 2z = 200 ---> Equation 10
Solve Equation 9 and 10 we get,
14x + 30y = 600 ---> Equation 11
8y -7z = (-400) ---> Equation 5
8x + 5z = 1200 ---> Equation 8
14x + 30y = 600 ---> Equation 11
In this 5 and 8 equation first, remove the z term
Equation 5 * 5 ==> 40y - 35z = (-2000) ---> Equation 12
Equation 8 * 7 ==> 56x + 35z = 8400 ---> Equation 13
Solve Equation 12 and 13 we get,
56x + 40y = 6400 ---> Equation 14
In this 11 and 14 equation first, remove the x term
Equation 11 * 4 ==> 56x + 120y = 2400 ---> Equation 15
Equation 14 * 1 ==> 56x + 40y = 6400 ---> Equation 16
Solve Equation 15 and 16 we get,
y = (-50)
y = (-50) to apply Equation 11 we get,
14x + 30(-50) = 600
14x - 1500 = 600
14x = 2100
x = 2100 / 14
x = 150
x = 150, y = (-50) to apply Equation 2 we get
150 - 50 + z = 100
100 + z = 100
z = 100 - 100
z = 0
So, the value is,
x = 150
y = (-50)
z = 0
Please mark it as BRAINELIST
Answer:
x = 30 , y = 6 and z = 64
Step-by-step explanation: