Question

2. Solve the following equations and verify your result.
4x+1 2x+1 3N7
(x 5) (3+4x) (x-3)
(b)
4.
3
6
Hint:
6
6
6
(a (c
)
2x
(1-7y)
(d)
)
(3-1) (2y + 3)
4.
5 6x
7
3
6
5
2
5
5-8x
(e) 0.6(1.5n + 1.2) = 0.8(0.3n -0.35) (0)
7x+1
1
yt
4
4.
34+1
3
5(y +12) - 17(2-y)
2
(n-4)
5
x + 2
x-3
4
(h)
(0)
0)
7y - 1
6
3
3
5
(n+7)
4​

Answer 1

Answer:

Step-by-step explanation:

(i) Let the required number be x.

 So, five times the number will be 5x.

 ∴ 5x = 40

(ii) Let the required number be x.

    So, when it is increased by 8, we get x + 8.

    ∴ x + 8 = 15

(iii) Let the required number be x.

    So, when 25 exceeds the number, we get 25 − x.

∴ 25 − x  = 7

(iv) Let the required number be x.

   So, when the number exceeds 5, we get x − 5.

  ∴ x − 5  = 3

(v) Let the required number be x.

    So, thrice the number will be 3x.

 ∴ 3x − 5 = 16

(vi) Let the required number be x.

    So, 12 subtracted from the number will be x − 12.

  ∴ x − 12 = 24

(vii) Let the required number be x.

    So, twice the number will be 2x.

  ∴ 19 − 2x = 11

(viii) Let the required number be x.

    So, the number when divided by 8 will be x8.

  ∴ x8 = 7

(ix) Let the required number be x.

    So, four times the number will be 4x.

∴ 4x − 3 = 17

(x) Let the required number be x.

    So, 6 times the number will be 6x.

   ∴ 6x = x + 5