Question

Answer the question given in the pic.

Answer 1

Answer:

x=4

Step-by-step explanation:

=>[(11x+16)/3]-[(17-3x)/5}=6x-5

=>64x+29=15(6x-5)

=>26x=104

=>x=4

Answer 2

Given :-

$\rm \cfrac{7x + 14}{3} - \dfrac{17 - 3x}{5} = 6x - \dfrac{4x + 2}{3} - 5$

To find :-

• x value

SOLUTION :-

Take L.C.M in the numerator and denominator

L.C.M of 3,5 is 15 in L.H.S

L.C.M of 3, 1 is 3 in R.H.S

$\rm \: \dfrac{5(7x + 14) - 3(17 - 3x)}{15} = \dfrac{6x(3) - 4x + 2 - 5(3)}{3}$

$\rm \: \dfrac{35x + 70 -5 1 + 9x}{15} = \dfrac{18x - 4x + 2 - 15}{3}$

$\rm \: \dfrac{44x +19}{ 15} = \dfrac{14x - 13}{ \: 3}$

$\rm \: \cfrac{44x +19 }{5} = 14x - 13$

Do cross multiplication

$\rm \: 44x +19 = (14x - 13)5$

$\rm \: 44x +19 = 70x - 65$

$\rm \: 44x - 70x = - 65 - 19$

$\rm \: - 26x = - 84$

$\rm \: 26x = 84$

$\rm \: x = \dfrac{84}{26}$

$\rm \: x = \dfrac{42}{13}$

So, the required answer x = 42/13

Know more :-

Transportations :-

If we transpose + after transpose it becomes -

If we tranpose - after tranpose it becomes +

If we tranpose × after tranpose it becomes ÷

If we tranpose ÷ after tranpose it becomes ×

Multiplication of signs:-

(+) ( -) = -

(-) ( +) = -

( + ) ( + ) = +

(-) (-) = +