Question

What is the value of v in the equation 7/10v + 3/2 = 2 + 3/5v?

A) 1/5
B) 1/2
C) 2/5
D) 3/5

Answer 1

v is 5

Step-by-step explanation:

`(7)/(10) v + (3)/(2) = 2 + (3)/(5) v \\ \\ (7)/(10) v - (3)/(5) v = 2 - (3)/(2) \\ \\ (7 - 6)/(10) v = (4 - 3)/(2) \\ \\ ( 1 )/(5) v = (1)/(1) \\ \\ v = 5`

• Proving;

`(7)/(10) v + (3)/(2) = 2 + (3)/(5) v \\ \\ (7)/(10) (5) + (3)/(2) = 2 + (3)/(5) (5) \\ \\ (7)/(2) + (3)/(2) = 2 + 3 \\ \\ (10)/(2) = 5 \\ \\ 5 = 5`

Hence, v is 5

Answer 2

The value of v in the equation 7/10v + 3/2 = 2 + 3/5v is 2.5.

Step-by-step explanation:

To solve the equation 7/10v + 3/2 = 2 + 3/5v, we need to eliminate the fractions by finding a common denominator. The common denominator is 10, so we multiply both sides of the equation by 10 to get rid of the fractions. This gives us 7v + 15 = 20 + 6v. Next, we combine like terms by subtracting 6v from both sides and simplifying the equation, we get v = 5/2 or v = 2.5. Therefore, the value of v in the equation is 2.5.