Answer:
3. d) x = 6
e) - 3/2
f) x = - 4
g) y = 4
h) x = 7
3. a = 3/4
4. x = - 2
Explanation:
3. d) 2x - 5 = 7
2x = 7 + 5
x = 12/2
x = 6
e) 7 - 2n = 10
- 2n = 10 -7
- 2n = 3
n = 3/- 2 = - 3/2
f) 2x - 3 = 5x + 9
-3 - 9 = 5x - 2x
-12 = 3x
- 12/3 = x
x = - 4
g) 4(y-3)= 2y - 4
4y - 12 = 2y - 4
4y - 2y = -4 + 12
2y = 8
y = 8/2
y = 4
h) x^2 - 11 = 38
x^2 = 38+11
x^2 = 49
x = sqrt 49
x = 7
3.
a/3 - 5/12 = - 1/6 (common denominator: 12)
4a/12 - 5/12 = -2/12
(4a - 5)12 = -2/12 (12/12=1)
4a - 5 = -2
4a = - 2 + 5
4a = 3
a = 3/4
4.
(2x+1)/3 = (x-6)/8
8(2x+1) = 3(x-6)
16x + 8 = 3x - 18
16x - 3x = - 18 - 8
13x = - 26
x = - 26/13
x = - 2