Answer:
(a) 7
(b) -3
(c) [tex]-\frac{9}{8}[/tex]
(d) -1
Step-by-step explanation:
(a) 5x - 7 = 28
5x = 28 + 7
5x = 35
⇒ x = 7
(b) 12 - 5x = x + 30
-5x = x + 30 - 12
-5x = x + 18
-5x - x = 18
-6x = 18
⇒ x = -3
(c) 5(x+2) = 1 - 3x
5x + 10 = 1 - 3x
5x = 1 - 3x - 10
5x + 3x = -9
8x = -9
⇒ x = [tex]-\frac{9}{8}[/tex],
(d) Given system of equations,
Зx-y = -5 ------(1),
x + 2y = 3 ----(2),
Equation (2) + 2 equation (1),
x + 6x = 3 - 10⇒ 7x = -7 ⇒ x = -1
