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question when solving an equation, samanthas first step is shown below. which property justifies samanthas first step? original equation: $\frac{1}{-3}x = 1$ first step: $x=-3$ answer addition property of equality associative property of multiplication distributive property of multiplication over addition multiplication property of equality
The multiplication property of equality states that if we multiply both sides of an equation by the same non - zero number, the equality still holds. In the given example, to get from $\frac{1}{-3}x = 1$ to $x=-3$, we multiply both sides of the equation by $- 3$. This is an application of the multiplication property of equality.
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multiplication property of equality