to solve the equation 2/3(x-4) = -10, izzy wants to multiply both sides of the equation by the reciprocal of the fraction

Answer 1

To solve the equation 2/3(x-4) = -10, you can solve it by multiplying both sides of the equation by the reciprocal of the fraction, which is 3/2.

Multiply both sides of the equation by 3/2:

(3/2) * (2/3)(x-4) = (3/2) * (-10)

The (2/3) on the left side and the (3/2) on the right side cancel out:

(x-4) = (-30/2)

Simplify the right side:

(x-4) = -15

Finally, add 4 to both sides of the equation:

x - 4 + 4 = -15 + 4

x = -11

So the solution to the equation 2/3(x-4) = -10 is x = -11.

Answer 2

to solve the equation 2/3(x-4) = -10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. name the reciprocal.

Answer 3

The reciprocal of a fraction can be obtained by flipping the numerator and denominator.

In this case, the reciprocal of 2/3 is 3/2.