Step 2: 3x + 2x + 9 = 24
a. Simplify
b. Subtraction Property of Equality
c. Segment Addition Postulate
d. Substitution
e. Division Property of Equality
To solve the equation 3x + 2x + 9 = 24, you will need to follow several steps. Let's break it down step by step:
Step 1: Simplify
Start by combining like terms on the left-hand side of the equation. In this case, you have 3x and 2x, which can be combined to give you 5x.
So, the equation becomes 5x + 9 = 24.
Now we can move on to Step 2.
Step 2: Subtraction Property of Equality
The Subtraction Property of Equality allows us to subtract the same value from both sides of an equation without changing its solution. In this case, we want to isolate the variable x on one side of the equation, so we'll subtract 9 from both sides.
By subtracting 9 from both sides, the equation becomes 5x = 15.
Now we can move on to Step 3.
Step 3: Division Property of Equality
The Division Property of Equality allows us to divide both sides of an equation by the same non-zero number without changing its solution. In this case, we have 5x on the left-hand side, and we want to solve for x. So, we'll divide both sides by 5.
By dividing both sides of the equation by 5, we get x = 3.
So, the solution to the equation 3x + 2x + 9 = 24 is x = 3.
To recap:
a. Simplify: Combining like terms to simplify the equation.
b. Subtraction Property of Equality: Subtracting the same value from both sides to isolate the variable.
c. Segment Addition Postulate: Not applicable in this case.
d. Substitution: Not applicable in this case.
e. Division Property of Equality: Dividing both sides by the same non-zero number to solve for the variable.
Step 2: 3x + 2x + 9 = 24
a. Simplify
Combine like terms:
5x + 9 = 24
b. Subtraction Property of Equality
Subtract 9 from both sides to isolate the variable:
5x = 24 - 9
5x = 15
c. Segment Addition Postulate
There is no need to use the Segment Addition Postulate in this equation.
d. Substitution
There is no need to use substitution in this equation.
e. Division Property of Equality
Divide both sides by 5 to solve for x:
(5x)/5 = 15/5
x = 3
Therefore, the solution to the equation is x = 3.