To solve the equation 23(x−4)=−10 , Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal

3 answers

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

In this equation, the fraction is 23. So, the reciprocal of 23 is 1/23.
wrong
Apologies for the incorrect response. Let's correct it.

The equation is 23(x-4) = -10.

To solve it, we can first simplify by distributing the 23:

23*x - 23*4 = -10

The equation becomes:

23x - 92 = -10

Next, we can isolate the variable by moving the constant term to the other side of the equation:

23x = -10 + 92

23x = 82

Finally, we can solve for x by dividing both sides of the equation by 23:

x = 82/23

Therefore, the solution to the equation is x = 82/23.