solve and check by substitution if your answer is correct. Do. ix, xii, xiv, xvi.
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Step-by-step explanation:
iv)
1x/3 - 2/3 = 5/6
= 1x/3 = 5/6+2/3
= x/3 = 9/6
= x = 9/2
Verification:
1x/3 - 2/3 = 5/6
= 1/3 × 9/2 - 2/3 = 5/6
= 3/2 - 2/3 = 5/6
= 9/6 - 4/6 = 5/6
= 5/6 = 5/6
L.H.S = R.H.S
xii)
(a - 3)/2 = 1
= a - 3 = 2
= a = 5
Verification:
(a - 3)/2 = 1
= (5 - 3)/2 = 1
= 2/2 = 1
= 1 = 1
L.H.S = R.H.S
xiv)
x/3 + 2x/3 + x/4 = 10
= 4x/12 + 8x/12 + 3x/12 = 10
= 15x = 120
= x = 8
Verification:
x/3 + 2x/3 + x/4 = 10
8/3 + 16/3 + 8/4 = 10
= 32/12 = 64/12 + 24/12 = 10
= 120/12 = 10
= 10 = 10
L.H.S = R.H.S
xvi)
(3x - 1)/3 + 4x = 8
= (3x - 1 + 12x) / 3 = 8
= 15x - 1 = 24
= 15x = 25
= x = 5/3
Verification:
(3x - 1)/3 + 4x = 8
= (5 - 1) / 3 + 20/3 = 8
= 24/3 = 8
= 8 = 8
L.H.S = R.H.S
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