select the correct answer.\nthe given equation has been solved in the table.\n| step | statement |\n| ---- |…

select the correct answer.\nthe given equation has been solved in the table.\n| step | statement |\n| ---- | ---- |\n| 1 | $\frac{2}{3}x - 9 = -13$ |\n| 2 | $\frac{2}{3}x - 9 + 9 = -13 + 9$ |\n| 3 | $\frac{2}{3}x = -4$ |\n| 4 | $\frac{3}{2} cdot \frac{2}{3}x = \frac{3}{2} cdot (-4)$ |\n| 5 | $x = -6$ |\nin which step was the addition property of equality applied?\na. step 2\nb. step 3\nc. step 4\nd. the addition property of equality was not applied to solve this equation.

select the correct answer.\nthe given equation has been solved in the table.\n| step | statement |\n| ---- | ---- |\n| 1 | $\frac{2}{3}x - 9 = -13$ |\n| 2 | $\frac{2}{3}x - 9 + 9 = -13 + 9$ |\n| 3 | $\frac{2}{3}x = -4$ |\n| 4 | $\frac{3}{2} cdot \frac{2}{3}x = \frac{3}{2} cdot (-4)$ |\n| 5 | $x = -6$ |\nin which step was the addition property of equality applied?\na. step 2\nb. step 3\nc. step 4\nd. the addition property of equality was not applied to solve this equation.

Answer

Brief Explanations:

The addition property of equality states that if we add the same number to both sides of an equation, the equality still holds. In step 2, 9 is added to both sides of the equation $\frac{2}{3}x - 9=-13$ to get $\frac{2}{3}x - 9+9=-13 + 9$.

Answer:

A. step 2