Answer: [tex]m=-21[/tex]
Step-by-step explanation:
In order to solve the exercise, you need to remember the following properties:
1. Addition property of equality:
If [tex]a=b[/tex], then [tex]a+c=b+c[/tex]
2. Subtraction property of equality:
If [tex]a=b[/tex], then [tex]a-c=b-c[/tex]
3. Divison property of equality:
If [tex]a=b[/tex], then [tex]\frac{a}{c}=\frac{b}{c}[/tex]
4. Multiplication property of equality:
If [tex]a=b[/tex], then [tex]a*c=b*c[/tex]
Then, given the following equation:
[tex]9+\frac{m}{3}=2[/tex]
You need to followw these steps in order solve for "m":
- Apply the Subtraction property of equality subtracting 9 from both sides of the equation:
[tex]9+\frac{m}{3}-9=2-9\\\\\frac{m}{3}=-7[/tex]
- Apply the Multiplication property of equality multiplying both sides of the equation by 3. Then, you get:
[tex](3)(\frac{m}{3})=(-7)(3)\\\\m=-21[/tex]
