ElisabettaZ235091 ElisabettaZ235091
  • 25-10-2022
  • Mathematics
contestada

Determine the x-intercept for 3x + 2y = 14.A) (7,0) B) (0,7) C) (14/3,0) D) (0,14/3)

Respuesta :

BrykenD140117 BrykenD140117
  • 25-10-2022

By definition, when the line intersects the x-axis, the value of "y" is:

[tex]y=0[/tex]

Knowing this, you can substitute that value of "y" into ithe equation given in the exercise:

[tex]\begin{gathered} 3x+2y=14 \\ 3x+2(0)=14 \end{gathered}[/tex]

Now you must solve for the variable "x" in order to find the x-intercept. This is:

[tex]\begin{gathered} 3x+0=14 \\ 3x=14 \\ x=\frac{14}{3} \end{gathered}[/tex]

Then, you get this point:

[tex](\frac{14}{3},0)[/tex]

The answer is: Option C.

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