Question

Describe the properties of equality that Kira used. The first step is to use the property of equality to combine the constant terms. The second step is to use the property of equality to isolate the variable.

Answer 1

Answer:

1. Subtraction property

2. Division property

Step-by-step explanation:

Question has missing details.

Kira's steps are:

$\frac{7}{2} - 2x = \frac{11}{2}$

$\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}$

$- 2x \div -2= \frac{4}{2} \div -2$

$x = -1$

Required

The properties used

For the first step, we have:

$\frac{7}{2} - 2x = \frac{11}{2}$

To get to step 2, Kira subtracted $\frac{7}{2}$ from both sides.

i.e.

$\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}$

This property is subtraction property

In the second step, where x is isolated.

$- 2x \div -2= \frac{4}{2} \div -2$

Both sides of the equation were divided by -2  to give:

$x = -1$

This property is division property