Question

How many solutions does the equation have?

2x + 3 = 4x + 2


no solutions

1 solution

many solutions

Answer 1

x = 1/2

Explanation:

2x + 3 = 4x + 2

-2x -2x

3 = 2x + 2

-2 -2

1 = 2x

Divide both sides by 2x

x = 1/2

Answer 2

Answer: The correct option is

(B) 1 solution.

Step-by-step explanation: We are given to find the number of solutions that the following equation has :

`2x+3=4x+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the number of solutions, we must try to solve the given equation first.

The solution of equation (i) is as follows :

`2x+3=4x+2\\\\\Rightarrow 4x-2x=3-2\\\\\Rightarrow 2x=1\\\\\Rightarrow x=(1)/(2).`

Since we can find only one value of x from the equation, so there will be only one solution.

Option (B) is CORRECT.