Answer:
1. Subtraction property
2. Division property
Step-by-step explanation:
Question has missing details.
Kira's steps are:
[tex]\frac{7}{2} - 2x = \frac{11}{2}[/tex]
[tex]\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}[/tex]
[tex]- 2x \div -2= \frac{4}{2} \div -2[/tex]
[tex]x = -1[/tex]
Required
The properties used
For the first step, we have:
[tex]\frac{7}{2} - 2x = \frac{11}{2}[/tex]
To get to step 2, Kira subtracted [tex]\frac{7}{2}[/tex] from both sides.
i.e.
[tex]\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}[/tex]
This property is subtraction property
In the second step, where x is isolated.
[tex]- 2x \div -2= \frac{4}{2} \div -2[/tex]
Both sides of the equation were divided by -2 to give:
[tex]x = -1[/tex]
This property is division property
