Question:
solve the following simultaneous equation 6x + 5y = 8 or 9x - 2y = 31
Answer:
We have
6x + 5y = 8 . . . (i)
9x - 2y = 31 . . . (ii)
Multiplying (i) by 2 and (ii) by 5, we get
12x + 10y = 16 . . . (iii)
45x - 10y = 155 . . . (iv)
Adding (iii) and (iv), we get
57x = 171
x = 3
Substituting x = 3, in (i), we get
6(3) + 5y = 8
18 + 5y = 8
5y = 8 - 18
5y = - 10
y = - 2
Therefore, x = 3, y = - 2
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