If frac 1 2 x 2y 3 and frac 3 2 x and frac 3 2 ... - WAEC Mathematics 2013 Question
If (\frac{1}{2})x + 2y = 3 and (\frac{3}{2})x and (\frac{3}{2})x - 2y = 1, find (x + y)
A
3
B
2
C
1
D
5
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Correct Option: A
(\frac{1}{2})x + 2y = 3......(i)(multiply by 2)
(\frac{3}{2})x - 2y = 1......(ii)(multiply by 2)
x + 4y = 6......(iii)
3x - 4y = 2.....(iv) add (iii) and (iv)
4x = 8, x = (\frac{8}{4}) = 2
substitute x = 2 into equation (iii)
x + 4y = 6
2 + 4y = 6
4y = 6 - 2
4y = 4
y = (\frac{4}{4})
= 1(x + y)
2 + 1 = 3
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