Question

2.1 Solve the following equations using the balance method.
(a) 4r + 8= 24
(b) 3x - 6 = 24
(c) x/3+8=24
(d) 2x/5-3=-8
please give me the answer very fast​

Answer 1

Answer:

a) r = 4

b) x = 10

c) x = 48

d) x = -27.5

Step-by-step explanation:

a) 4r + 8 = 24

4r = 24 - 8

4r = 16

$\sf r = \frac{16}{4} = 4$

ஃ r = 4

b) 3x - 6 = 24

3x = 24 + 6

3x = 30

$\sf x = \frac{30}{3} = 10$

ஃ x = 10

$\sf c) \: \frac{x}{3} + 8 = 24$

$\sf \frac{x}{3} = 24 - 8$

$\sf \frac{x}{3} = 16$

x = 16 × 3 = 48

ஃ x = 48

$\sf d) \: \frac{2x}{5} - 3 = - 8$

$\sf \frac{2x}{5} = - 8 + - 3 = - 11$

$\sf \frac{2x}{5} = - 11$

2x = -11 × 5

2x = -55

$\sf x = \frac{ - 55}{2} = - 27.5$

ஃ x = -27.5