Given,
The equation which gives
[tex]x=3[/tex]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.
[tex]\begin{gathered} 2x=3+1 \\ 2x=4 \\ x=2 \end{gathered}[/tex]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.
[tex]\begin{gathered} 3x=9-1 \\ 3x=8 \\ x=\frac{8}{3} \end{gathered}[/tex]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.
[tex]\begin{gathered} 4x=1+2 \\ 4x=3 \\ x=\frac{3}{4} \end{gathered}[/tex]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.
[tex]\begin{gathered} 5x=17-2 \\ 5x=15 \\ x=3 \end{gathered}[/tex]This equation represents the value at x =3.