Remmi wrote the equation of the line y=1/3(x+2) He solved for x and got x=3y-2 Which of the following is an equivalent equation for x?

a. x=y-11/3
b. x=y+7/3
c. x=3(y-2/3)
d. x=3(y+2/3)

Respuesta :

Just took the quiz.

The answer is x=3(y-2/3)

Answer:

Option c is correct

[tex]x = 3(x - \frac{2}{3})[/tex]

Step-by-step explanation:

Remmi wrote the equation of the line :

[tex]y = \frac{1}{3}(x+2)[/tex]

Multiply both sides by 3 we have;

[tex]3y = x+2[/tex]

Subtract 2 from both sides we have;

[tex]3y-2 = x[/tex]

or

x = 3y-2

We can write this as:

[tex]x = 3(x - \frac{2}{3})[/tex]

Therefore,  the following is an equivalent equation for x is, [tex]x = 3(x - \frac{2}{3})[/tex]