Question

the value of y that satisfies the equation y+11/6 - y+1/9 =y+7/4 is

Answer 1

Given that,

An equation : $y+\dfrac{11}{6}-y+\dfrac{1}{9} =y+\dfrac{7}{4}$

To find,

The value of y.

Solution,

$y+\dfrac{11}{6}-y+\dfrac{1}{9} =y+\dfrac{7}{4}$

y is present on both sides of the equation. So it will cancel down.

$\dfrac{11}{6}-y+\dfrac{1}{9} =\dfrac{7}{4}$

Now taking y on one side and constants on other side. So,

$y=\dfrac{11}{6}+\dfrac{1}{9}-\dfrac{7}{4}$

Now it is easy to solve above equation such that we get :

$y=\dfrac{7}{36}$

Hence, the value of x is  $\dfrac{7}{36}$.

Answer 2

Given :   (y + 11)/6  - (y + 1)/9  = (y + 7)/4

To find  : Value of y

Solution:

(y + 11)/6  - (y + 1)/9  = (y + 7)/4

Lets find LCM of Denominators 6 , 9 & 4

6 = 2 * 3

9 = 3 * 3

4 = 2 * 2

LCM = 2 * 2 * 3 * 3  = 36

(y + 11)/6  - (y + 1)/9  = (y + 7)/4

Multiply both sides by 36

=> (y + 11)6 - (y + 1)4 = (y + 7)9

=> 6y + 66 - 4y - 4  = 9y + 63

=> 2y + 62 = 9y + 63

=> 7y = - 1

=> y = -1/7

Value of y  is  -1/7

Learn more:

0.7x+0.3x=0.5x+6 linear equations in one variable - Brainly.in

https://brainly.in/question/8592946

Solve the following x+y/xy=5 and x-5/xy=7 - Brainly.in

https://brainly.in/question/8168066