In equation a, when we substitute x = 1, we get (1) + 8/3 = 3, which is true.
In equation b, when we substitute m = 7, we get 2 = 5 + (7)/6, which is also true.
To solve equations with variables, follow these steps: identify the variable, undo multiplication/division, undo addition/subtraction, and check the solution.
Identify the variable in the equation. In equation a, the variable is 'x'. In equation b, the variable is 'm'.
To undo the multiplication or division, isolate the variable by applying the inverse operation.
In equation a, we can multiply both sides by 3 to eliminate the division. This gives us: x + 8 = 9.
In equation b, we can multiply both sides by 6 to eliminate the division. This gives us: 12 = 5 + m.
To undo the addition or subtraction, isolate the variable by applying the inverse operation.
In equation a, we can subtract 8 from both sides to isolate the variable. This gives us: x = 1.
In equation b, we can subtract 5 from both sides to isolate the variable. This gives us: 7 = m.
Lastly, check the solution by substituting the value of the variable back into the original equation.
In equation a, when we substitute x = 1, we get (1) + 8/3 = 3, which is true.
In equation b, when we substitute m = 7, we get 2 = 5 + (7)/6, which is also true.
The probable question may be:
1. locate the variable
2. undo the multiplication/ division
3. Undo the addition /subtraction
4. check your solution
a. x+8/3=3
b. 2=5+m/6