Class 6 ICSE | Selina Concise Math Solutions | Ch-16 Simple Linear Equations | Exercise: 16 (B) Q: 2
2. Solve:
(i) x / 3 – 5 = 2
(ii) y / 2 – 3 = 8
(iii) z / 7 + 1 = 2 (1 / 2)
(iv) a / 2.4 – 5 = 2.4
(v) b / 1.6 + 3 = – 2.5
Solution:
(i) x / 3 – 5 = 2
x / 3 = 2 + 5
x / 3 = 7
x = 7 × 3
We get,
x = 21
Hence, the value of x = 21
(ii) y / 2 – 3 = 8
y / 2 = 8 + 3
y / 2 = 11
y = 11 × 2
We get,
y = 22
Hence, the value of y = 22
(iii) z / 7 + 1 = 2 (1 / 2)
This can be written as,
z / 7 + 1 = 5 / 2
z / 7 = 5 / 2 – 1
z / 7 = (5 – 2) / 2
We get,
z / 7 = 3 / 2
z = (3 / 2) × 7
On calculating, we get
z = 21 / 2
z =
Hence, the value of z =
(iv) a / 2.4 – 5 = 2.4
a / 2.4 = 2.4 + 5
a / 2.4 = 7.4
a = 7.4 × 2.4
We get,
a = 17.76
Hence, the value of a = 17.76
(v) b / 1.6 + 3 = – 2.5
b / 1.6 = – 2.5 – 3
b / 1.6 = -5.5
b = – 5.5 × 1.6
We get,
b = – 8.8
Hence, the value of b = – 8.8
