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31 December, 20:04

There are y children in an orphanage and they shared $x among themselves. If each of them got $7 there were $4 left. If there were $5 more, each would get $8.

(a) Write the pair of simultaneous linear equation connecting x and y.

(b) Hence, find

(i) x

(ii) y

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Answers (1)
  1. 31 December, 21:41
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    A) 7y + 4 = x

    ... 8y = x + 5

    b) Subtract the first equation from the second.

    ... (8y) - (7y + 4) = (x + 5) - (x)

    ... y - 4 = 5

    ... y = 9

    ... 7*9 + 4 = x = 67

    bi) x = 67

    bii) y = 9
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