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100 POINTS WILL MARK AS BRAINLIEST HHHHHHHHHHHHHHEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!
Rewrite the parametric equation by eliminating the parameter.
x = 3t+1 and y = t-4
y = 4x-3
y = 2x+5
y = x-13/3
y = x-5/3

Respuesta :

PoeticAesthetics

You can make one equation equal to t instead of y or x. I decided to make the equation y = t - 4 equal to t

y + 4 = t + (-4 + 4)

t = y + 4

Now in the other equation ( x = 3t + 1) you can replace t with y + 4 and solve for y

x = 3(y + 4) +1

x = 3y + 12 + 1

x = 3y + 13

x - 13 = 3y

y = x/3 -13/3

^^^I assume that's what you meant in the fourth opption when you wrote "y = x - 13/3"

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The correct option is C) [tex]y=\frac{x-13}{3}[/tex].    

Step-by-step explanation:

Consider the provided parametric equations.

[tex]x=3t+1......(1)[/tex]

[tex]y=t-4......(2)[/tex]

The equation (2) can be written as:

[tex]y+4=t[/tex]

Substitute the value of t in equation (1).

[tex]x=3(y+4)+1[/tex]

[tex]x=3y+12+1[/tex]

[tex]x=3y+13[/tex]

[tex]x-13=3y[/tex]

[tex]y=\frac{x-13}{3}[/tex]

Therefore, the correct option is C) [tex]y=\frac{x-13}{3}[/tex].

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