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Question
Make y the subject of the formula `x/"a" + y/"b" `= 1. Find y, when a = 2, b = 8 and x = 5.
Solution
`x/"a" + y/"b"` = 1
⇒ `y/"b" = 1 - x/"a"`
⇒ `y/"b" = ("a" - x)/"a"`
⇒ y = `"b"(1 - x/"a")`
⇒ y = `"b" - "b"/"a" x`
Substituting a = 2, b = 8 and x = 5, we get
y = `8 - (8)/(2) xx 5`
= -12.
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