83x 2 2x 3 22x 5 22x 10 8x 10 5x 5 20 20 5 24 3y10 7

8(3x - 2) - 2(x - 3) 22x - 5 22x - 10 8x - 10 5x - 5 =20 {20} {5} {24} 3y/10 - 7 = y/5 - 6 {8} {10} {12} A number increased by 201 is equal to 453. Fin the number. 654 -252 -654

Solution

#(10)

Given:

8(3x - 2 ) - 2(x - 3)

open the brackets, we get:

= 24x - 16 - 2x + 6

= 24x - 2x -16 + 6

= 22x - 10

Hence, option (B) is the correct answer.

#(11)

Given:   5x - 5 = 20

=> 5x = 20 + 5

=> 5x = 25

=> x = 25/5

Hence, x = 5

Option (B) is the correct answer.

Now we check the solution, So plug in the valye of x in the given equation :

5(5) - 5 = 20

25 - 5 = 20

20 = 20

L.H.S = R.H.S

Since, L.H.S = R.H.S, Hence our solution is correct.

#(12)

Given :

4(2y - 2) = 7(y+5)

open the brackets both sides, we get:

8y - 8 = 7y + 35

8y - 7y - 8 - 35 = 0

y - 43 = 0

Hence, y = 43

Hence, option ( B) is the correct answer.

Now we check the solution, So plug in the valye of y in the given equation :

4(2*(43) - 2 ) = 7( 43 + 5 )

4 ( 86 - 2 ) = 7(48)

4(84) = 7(48)

336 = 336

Since, L.H.S = R.H.S, Hence our solution is correct.

#(13)

Given :          3y / 10 - 7 = y/5 - 6

( 3y/10) - (y/5) - 7 + 6 = 0

( 3y/10) - (y/5) - 1 = 0

( 3y/10) - (y/5) = 1

( (3y - 2y) / 10 ) = 1

y/10 = 1

cross multiplication:

y = 1(10)

Hence, y = 10           [ Answer ]

Hence, option ( B) is the correct answer.

Now we check the solution, So plug in the valye of y in the given equation :

So, from     (3y / 10) - 7 = (y/5) - 6

Plug in the value of y:

((3*10)/10 ) - 7 = (10/5) - 6

(30/10) - 7   = 2 - 6

3 - 7 = 2 - 6

-4 = -4

L.H.S = R.H.S

Since, L.H.S = R.H.S, Hence our solution is correct.