Question

Solve each of the following equations and check☑ the results:
(I) 3x + 2 =11
(ii) 2x - 1/2 =3
(iii) 3(x+20) =21
(iv) q/3 - 5/2 = 6​

Answer 1

Answer:

i)3

ii)7/4

iii)-13

iv)51/2

Step-by-step explanation:

i)3x+2=11

3x=11-2

3x=9

x=9/3

x=3

ii)2x-1/2=3

2x=3+1/2

2x=7/2

x=7/4

iii)3(x+20)=21

3x+60=21

3x=21-60

3x=-39

x=-39/3

x=-13

iv)q/3-5/2=6

q/3=6+5/2

q/3=17/2

q=(17*3)/2

q=51/2

Answer 2

Answer:

1.

$3x + 2 = 11 \\ 3x = 11 - 2 \\ 3x = 9 \\ x = \frac{9}{3} \\ therefore \: x = 3$

2.

$2x - \frac{1}{2} = 3 \\ 2x - 1 = 3 \times 2 \\ 2x - 1 = 6 \\ 2x = 6 + 1 \\ 2x = 7 \\therefore \: x = \frac{7}{2} \\ (not \: sure \: about \: this \: sum)$

3.

$3(x + 20) = 21 \\ 3x + 60 = 21 \\ 3x = 21 - 60 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ therefore \: x = - 13$

4.

$\frac{q}{3} - \frac{5}{2} = 6 \\ \frac{q \times 2}{3 \times 2} - \frac{5 \times 3}{2 \times 3} = 6 \\ \frac{2q}{6} - \frac{15}{6} = 6 \\ \frac{2q - 15}{6} = 6 \\ 2q - 15 = 6 \times 6 \\ 2q - 15 = 36 \\ 2q = 36 - 15 \\ 2q = 21 \\ therefore \: q = \frac{21}{2}$

$hope \: it \: help \: you : )$