Question

Solve using inverse operations.

-3/5x=2/5

Answer 1

To solve this equation, we need to isolate the variable x. To do this, we can start by multiplying both sides of the equation by the reciprocal of -3/5, which is -5/3. This will cancel out the -3/5 on the left side of the equation:

(-5/3)(-3/5)x = (-5/3)(2/5)

The -3/5 on the left side simplifies to -1, and the equation becomes:

(-5/3)(-1)x = (-5/3)(2/5)

x = (-5/3)(2/5)

Multiplying the numerators and denominators together, we get:

x = -10/15

The fraction -10/15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:

x = (-10/5)/(15/5)

x = -2/3

Therefore, the solution to the equation -3/5x = 2/5 is x = -2/3.