6x + 5 =89
What properties of equality can justify the two steps in the solution?
Step 1: 6x +5=89
6x+5-5=89-5
6x=84
Step 2: 6x/6 = 84/6
X=14
A. Addition property and multiplication property
B Addition property and division property
C subtraction property and division property
D subtraction property and multiplication property
From the first
You had
6x+5=89
You subtracted 5 from both side
6x=84
And you divide both side by 6
So what does that tells you?
tell the answer bruh
The correct answer is B. Addition property and division property.
Explanation:
Step 1: In this step, we use the addition property of equality to both sides of the equation. This allows us to subtract 5 from both sides. This step is justified by the addition property of equality.
Step 2: In this step, we use the division property of equality to both sides of the equation. This allows us to divide both sides by 6. This step is justified by the division property of equality.
Therefore, the properties used in the steps are the addition property and the division property.
The correct answer is B. Addition property and division property.
To explain why the steps in the solution use the Addition property and division property, let's break it down:
Step 1: 6x + 5 - 5 = 89 - 5
This step uses the Addition property of equality, which states that you can add or subtract the same number from both sides of the equation without changing its equality. In this case, we subtract 5 from both sides to isolate the term "6x" on one side of the equation.
Step 2: 6x/6 = 84/6
This step uses the division property of equality, which states that you can divide both sides of the equation by the same non-zero number without changing its equality. In this case, we divide both sides of the equation by 6 in order to isolate the variable "x".
Therefore, the solution to the equation is x = 14 and the steps in the solution can be justified by the Addition property and division property of equality.