Question

pls ans ASPT
THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ​

Answer 1

Answer:

hope it helps.........

Answer 2

QUESTION:

Find the value of x.

$\sf \dfrac{2x -1 3}{5} - \dfrac{x - 3}{11} = \dfrac{x - 9}{5} + 1$

ANSWER:

• The value of x = 14.

GIVEN:

$\sf \dfrac{2x -1 3}{5} - \dfrac{x - 3}{11} = \dfrac{x - 9}{5} + 1$

TO FIND:

• The value of x.

EXPLANATION:

$\sf \dfrac{2x -1 3}{5} - \dfrac{x - 3}{11} = \dfrac{x - 9}{5} + 1$

$\sf \dfrac{22x -143}{55} - \dfrac{5x - 15}{55} = \dfrac{x - 9}{5} + 1$

$\sf \dfrac{22x -143 - 5x + 15}{55} = \dfrac{x - 9}{5} + 1$

$\sf \dfrac{22x -143 - 5x + 15}{55} = \dfrac{x - 9}{5} + \dfrac{5}{5}$

$\sf \dfrac{17x -128}{55} = \dfrac{x - 9 + 5}{5}$

$\sf \dfrac{17x -128}{11} =x-4$

$\sf 17x -128= 11x - 44$

$\sf 6x = 128 - 44$

$\sf 6x = 84$

$\sf x = 14$

HENCE THE VALUE OF x = 14.

VERIFICATION:

$\sf \dfrac{2x -1 3}{5} - \dfrac{x - 3}{11} = \dfrac{x - 9}{5} + 1$

Substitute x = 14.

$\sf \dfrac{2(14) -1 3}{5} - \dfrac{14- 3}{11} = \dfrac{14 - 9}{5} + 1$

$\sf \dfrac{28 -1 3}{5} - \dfrac{11}{11} = \dfrac{5}{5} + 1$

$\sf \dfrac{15}{5} - 1 = 1+1$

$\sf 3 - 1 = 1+1$

$\sf 2 = 2$

HENCE VERIFIED.