Question

Select all the equations that are equivalent to the given equation. 1/5 (t + 2) = 5/6

1/5 t + 2/5 = 5/6
1/5 t = 7/10
1/5 t + 7 = 5/6
t = 2 1/6
t = 3 1/2

plz this question is worth 50 ponits

Answer 1

ANSWER : t = 2 1/6

1/5 t + 2/5 = 5/6

Explanation:

1/5 (t + 2) = 5/6

Multiply each side by 5

t+2 = 5*5/6

t+2 = 25/6

Subtract 2 from each side

t+2 -2 = 25/6 -12/6

t = 13/6 = 2 1/6

We can distribute

1/5 t + 2/5 = 5/6

Subtract 2/5 from each side

1/5t = 5/6 -2/5

Get common denominator

1/5t =25/30 - 12/30

1/5t = 13/30

Multiply each side by 5

t = 13/30 *5

t = 13/6

Answer 2

t = 2 1/6

1/5 t + 2/5 = 5/6

Explanation:

1/5 (t + 2) = 5/6

Multiply each side by 5

t+2 = 5*5/6

t+2 = 25/6

Subtract 2 from each side

t+2 -2 = 25/6 -12/6 ( using the same denominator)

t = 13/6 = 2 1/6

We can also distribute

1/5 t + 2/5 = 5/6

Subtract 2/5 from each side

1/5t = 5/6 -2/5

Get a common denominator

1/5t =25/30 - 12/30

1/5t = 13/30

Multiply each side by 5

t = 13/30 *5

t = 13/6