Find the values of x, y, and z, to satisfy the equations given below:
x + y + z = 12; x + y – z = 6; x – y + z = 4
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. x = 5, y = 4, z = 3.
From the given options
If x = 5, y = 4, and z = 3 then, it will satisfy all three equations
⇒ x + y + z = 12
⇒ 5 + 4 + 3 = 12
⇒ 12 = 12
Now,
⇒ x + y - z = 6
⇒ 5 + 4 - 3 = 6
⇒ 9 - 3 = 6
⇒ 6 = 6
Now,
⇒ x - y + z = 4
⇒ 5 - 4 + 3 = 4
⇒ 4 = 4
Hence, the correct answer is x = 5, y = 4, and z = 3