The correct relationship after eliminating x, y and z from x + y = a, y + z =…
2024
The correct relationship after eliminating x, y and z from x + y = a, y + z = b, z + x = c and x + y + z = m, is:
- A.
m = x + y + z
- B.
2m = a + b + c
- C.
m = x - y - z
- D.
2m = x - y - z
Attempted by 6 students.
Show answer & explanation
Correct answer: B
Answer: Option B
Explanation:
Given that,
x + y = a Equation 1)
y + z = b Equation 2)
z + x = c Equation 3)
x + y + z = m Equation 4)
Eliminating x, y and z we have to find the relationship among a, b, c and m.
If we add equations 1), 2) and 3) we get
(x + y) + (y + z) + (z + x) = a + b + c
2(x + y + z) = a + b + c
Thus, 2m = a + b + c [From Equation 4)]
Hence option B is the correct answer.