Question

Remmi wrote the equation of the line y=⅓(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-⅔)
d.x=3(y+⅔)

Answer 1

Answer:C

Explanation:

if you distribute the 3 in c you get 3y-2

Answer 2

For this case, we must find an equation equivalent to the given equation, but as a function of y.

If we have:

`y = \frac {1} {3} (x + 2)`

We must clear "x":

`y = \frac {1} {3} x + \frac {2} {3}`

Subtract
`\frac {2} {3}` from both sides of the equation:

`y- \frac {2} {3} = \frac {1} {3} x + \frac {2} {3} - \frac {2} {3}\\y- \frac {2} {3} = \frac {1} {3} x`

We multiply by 3 on both sides of the equation:

`3 * (y- \frac {2} {3}) = \frac {1} {3} x * 3\\x = 3 * (y- \frac {2} {3})`

Thus, an equivalent equation is:

`x = 3 * (y- \frac {2} {3})`

Answer:

`x = 3 * (y- \frac {2} {3})`