7=3/5t-2

1 answer

To solve the equation 7 = (3/5)t - 2, we need to isolate the variable t.

Add 2 to both sides of the equation:

7 + 2 = (3/5)t - 2 + 2

9 = (3/5)t

To isolate t, we need to divide both sides of the equation by (3/5):

(9)/(3/5) = (3/5)t / (3/5)

To divide by a fraction, we can multiply by its reciprocal:

(9)/(3/5) = (3/5)t * (5/3)

Simplify:

(9) * (5/3) = t

45/3 = t

15 = t

Therefore, the solution to the equation 7 = (3/5)t - 2 is t = 15.