Question

Solve: (2y+4)/ (2 - 6y) = -4/5 *​

Answer 1

Answer:-

$\\ \rm\longmapsto \dfrac{2y+4}{2-6y}=\dfrac{-4}{5}$

• Use cross multiplication

$\\ \rm\longmapsto 5(2y+4)=-4(2-6y)$

$\\ \rm\longmapsto 10y+20=-8+24y$

$\\ \rm\longmapsto 10y-24y=-8-20$

$\\ \rm\longmapsto -14y=-28$

$\\ \rm\longmapsto 14y=28$

$\\ \rm\longmapsto y=\dfrac{28}{14}$

$\\ \rm\longmapsto y=2$

Answer 2

Step-by-step explanation:

Given:-

$\rm \frac{2y + 4}{2 - 6y} = \frac{ - 4}{5}$

To find out:-

Value of y.

Solution:-

We have

$\rm \frac{2y + 4}{2 - 6y} = \frac{ - 4}{5}$

Variable y cannot be equal to 1/3 since division by zero is not defined. Multiply both sides of the equation by 10(3y - 1), the least common multiple of 2 - 6y, 5.

$\rm ➞ \: - 5(2y + 4) = (6y - 2)( - 4)$

Use the distributive property to multiply -5 by 2y + 4.

$\rm ➞ \: - 10y - 20 = (6y - 2)( - 4)$

Use the distributive property to multiply 6y - 2 by -4.

$\rm ➞ \: - 10y - 20 = - 24 + 8$

Add 24y by both sides.

$\rm ➞ \: - 10y - 20 + 24y = 8$

Combine -10y and 24y to get 14y.

$\rm ➞ \:14y - 20 = 8$

Add 20 to both sides

$\rm ➞ \:14y = 8 + 20$

Add 8 and 20 to get 28.

$\rm ➞ \:14y = 28$

Divide both sides by 14.

$\rm ➞ \:y = \frac{28}{14}$

Divide 28 by 14 to get 2.

$\rm ➞ \:y = 2.$

Answer:-

Hence, the required value of y is 2.