Question

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

Answer 1

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