To solve the equation 23(x−4)=−10

Question

, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.(1 point)
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Answer 1

To solve the equation \( 23(x - 4) = -10 \) and find the reciprocal of the coefficient \( 23 \), we first identify what the reciprocal of \( 23 \) is.

The reciprocal of a number \( a \) is \( \frac{1}{a} \). Therefore, the reciprocal of \( 23 \) is:

\[ \frac{1}{23} \]

So, Izzy would multiply both sides of the equation by \( \frac{1}{23} \) to eliminate the coefficient on the left side.