how do i find the solution set of the equation if the replacement set is A={2,6,7,12,15}33-b=18
To find the solution set of the equation, you need to substitute each value from the replacement set A into the equation and then solve for the variable. Let's work through it step by step.
The given equation is 33 - b = 18.
Step 1: Start with the first value in the replacement set A, which is 2.
Substitute 2 for b in the equation:
33 - 2 = 18
Simplify:
31 = 18
Since 31 is not equal to 18, 2 is not a solution to the equation.
Step 2: Move on to the next value in the replacement set A, which is 6.
Substitute 6 for b in the equation:
33 - 6 = 18
Simplify:
27 = 18
Since 27 is not equal to 18, 6 is not a solution to the equation.
Step 3: Continue this process for the remaining values in the replacement set A, which are 7, 12, and 15.
Substituting 7 for b in the equation:
33 - 7 = 18
Simplify:
26 = 18
Since 26 is not equal to 18, 7 is not a solution to the equation.
Substituting 12 for b in the equation:
33 - 12 = 18
Simplify:
21 = 18
Since 21 is not equal to 18, 12 is not a solution to the equation.
Substituting 15 for b in the equation:
33 - 15 = 18
Simplify:
18 = 18
Since 18 is equal to 18, 15 is a solution to the equation.
Step 4: Write down the solution set of the equation.
The solution set, in this case, is {15}, as 15 is the only value in the replacement set A that satisfies the equation.
So, the solution set of the equation 33 - b = 18, with the replacement set A = {2, 6, 7, 12, 15}, is {15}.