Question

5y-2/4(y+2)=1/3
pls give me method explanations ​

Answer 1

Answer:

5y-2/4y+8=1/3

=5y-2=1(4y+8)/3

=5y-2=4y+8/3

=(5y-2)(3)=4y+8

=15y-6=4y+8

=15y-4y=8+6

11y=14

y=14/11

Answer 2

Given:

The equation -

$\bf \longmapsto \: \dfrac{5y - 2}{4(y + 2)} = \dfrac{1}{3}$

What To Find:

We have to find

• Solve the equation.
• Find the value of y.

How To Find:

To find it, we have to

• First, simplify the equation from both sides.
• Next, take the variable to one side and constant to another.
• Then, solve the equation.
• Finally, find the value of y.

Solution:

$\sf \longmapsto \: \dfrac{5y - 2}{4(y + 2)} = \dfrac{1}{3}$

Remove the brackets in the denominator in LHS,

$\sf \longmapsto \: \dfrac{5y - 2}{4y + 8} = \dfrac{1}{3}$

Use the cross multiplication method,

$\sf \longmapsto \: 3(5y - 2) = 4y + 8$

Remove the brackets in LHS,

$\sf \longmapsto \: 15y - 6 = 4y + 8$

Take 4y to LHS,

$\sf \longmapsto \: 15y - 6 -4y = 8$

Take 6 to RHS,

$\sf \longmapsto \: 15y - 4y = 8 + 6$

Subtract 4y from 15y in LHS,

$\sf \longmapsto \: 11y = 8 + 6$

Add 8 and 6 to RHS,

$\sf \longmapsto \: 11y = 14$

Take 11 to RHS,

$\sf \longmapsto \: y = \dfrac{14}{11}$

Final Answer:

∴ Thus, the value of y is 14/11.