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Question
Find the values of x, y and z from the following equation
`[(x + y + z),(x + z),(y + z)] = [(9),(5),(7)]`
Solution
x + y + z = 9 ...(1)
x + z = 5 ...(2)
y + z = 7 ...(3)
(1) ⇒ x + y + z = 9
(2) ⇒ x + 0 + z = 5
(–) (–) (–)
(1) – (2) ⇒ y = 4
Substitute the value of y = 4 in (3)
y + z = 7
4 + z = 7
z = 7 – 4
= 3
Substitute the value of z = 3 in (2)
x + 3 = 5
x = 5 – 3
= 2
∴ The value of x = 2, y = 4 and z = 3
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