Question

For which equation is x= 3 a solution?O A. 2x-1=3O B. 3x+1=9O C. 4x-2=1O D. 5x+ 2 = 17

Answer 1

Given,

The equation which gives

`x=3`

To find: Identify the equation.

Solution:

Check each option 1 by 1.

(a) 2x-1=3

Take the variable on one side of the equation and the constant on another side.

`\begin{gathered} 2x=3+1 \\ 2x=4 \\ x=2 \end{gathered}`

This does not represent x = 3.

(b) 3x+1=9

Take the variable on one side of the equation and the constant on another side.

`\begin{gathered} 3x=9-1 \\ 3x=8 \\ x=(8)/(3) \end{gathered}`

This does not represent x = 3.

(c) 4x-2=1

Take the variable on one side of the equation and the constant on another side.

`\begin{gathered} 4x=1+2 \\ 4x=3 \\ x=(3)/(4) \end{gathered}`

This also does not represent x = 3.

(d) 5x+2=17

Take the variable on one side of the equation and the constant on another side.

`\begin{gathered} 5x=17-2 \\ 5x=15 \\ x=3 \end{gathered}`

This equation represents the value at x =3.