Question

* EXERCISE 8.1
1. Solve the following equations:
a. x + 6 = 7
b. 7-4x=8+x
c. x– 6=8 d. x - 1 / 2 = 3
e.x-(-23) =-3 f.32 - x = 71
g. 5 - x= 1+ x h. x - 4 = 3x +31
I.x-3/4=1 j. - 6 – 5x = 7x - 6​

Answer 1

Step-by-step explanation:

answers are there in the picture go through it ( not sure all of its correct or not)

Answer 2

Correct Question :-

1. Solve the following equations :-

a) x + 6 = 7

b) 7 - 4x = 8 + x

c) x - 6 = 8

d) x $\sf -\frac{1}{2}$ = 3

e) x - ( - 23) = - 3

f) 32 - x = 71

g) 5 - x = 1 + x

h) x - 4 = 3x + 31

i) x $\sf -\frac{3}{4}$ = 1

j) - 6 - 5x = 7x - 6

Answers :-

a)

$\sf x + 6 = 7$

$:\implies\sf x = 7 - 6$

$:\implies\boxed{\blue{\bf x = 1}}$

b)

$\sf7 - 4x = 8 + x$

$:\implies\sf - 4x - x = 8 - 7$

$:\implies\sf - 5x = 1$

$:\implies\sf x = \boxed{\blue{\bf\frac{1}{ - 5}}}$

c)

$\sf x - 6 = 8$

$:\implies\sf x = 8 + 6$

$:\implies\boxed{\blue{\bf x = 14}}$

d)

$\sf x - \frac{1}{2} = 3$

$:\implies\sf x = 3 + \frac{1}{2}$

$:\implies\sf x = \frac{6 + 1}{2}$

$:\implies\sf x = \frac{7}{2}$

$:\implies\boxed{\blue{\bf x = 3 \frac{1}{2}}}$

e)

$\sf x - ( - 23) = - 3$

$:\implies\sf x + 23 = - 3$

$:\implies\sf x = - 3 - 23$

$:\implies\boxed{\blue{\bf x = - 26}}$

f)

$\sf 32 - x = 71$

$:\implies\sf - x = 71 - 32$

$:\implies\sf - x = 39$

$:\implies\boxed{\blue{\bf x = - 39}}$

g)

$\sf 5 - x = 1 + x$

$:\implies\sf - x - x = 1 - 5$

$:\implies\sf\cancel- 2x = \cancel- 4$

$:\implies\sf x = \frac{\cancel{4}}{\cancel{2}}$

$:\implies\boxed{\blue{\bf x = 2}}$

h)

$\sf x - 4 = 3x + 31$

$:\implies\sf x - 3x = 31 + 4$

$:\implies\sf - 2x = 35$

$:\implies\sf x = \frac{\cancel{35}}{\cancel{ - 2}}$

$:\implies\boxed{\blue{\bf x = - 17\frac{1}{2}}}$

i)

$\sf x - \frac{3}{2} = 1$

$:\implies\sf x = 1 + \frac{3}{2}$

$:\implies\sf x = \frac{2 + 3}{2}$

$:\implies\sf x = \frac{\cancel5}{\cancel2}$

$:\implies\boxed{\blue{\bf x = 2\frac{1}{2}}}$

j)

$\sf - 6 - 5x = 7x - 6$

$:\implies\sf - 5x - 7x = \cancel{- 6} \cancel{+ 6}$

$:\implies\sf - 12x = 0$

$:\implies\boxed{\blue{\bf x = 12}}$