Problem

2. First, solve for $x$. Then, name the used to solve.
\[
-4 / 3 x=24
\]

Answer

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Answer

The method used to solve this equation is called the multiplication property of equality, which states that if you multiply both sides of an equation by the same number, the equation remains true.

Steps

Step 1 :Given the equation $-\frac{4}{3}x = 24$

Step 2 :To solve for $x$, we can multiply both sides of the equation by $-\frac{3}{4}$ to isolate $x$ on one side of the equation.

Step 3 :Doing this gives us $x = 24 \cdot -\frac{3}{4}$

Step 4 :Simplifying the right side of the equation gives us $x = -18$

Step 5 :Therefore, the solution to the equation is $x = -18$

Step 6 :The method used to solve this equation is called the multiplication property of equality, which states that if you multiply both sides of an equation by the same number, the equation remains true.

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