what property is If 6k=36, then 6k-1 = 36-1
The property used in this equation is the subtraction property of equality.
The property being used in this equation is the Subtraction Property of Equality. According to this property, if two quantities are equal, then subtracting or adding the same number to both sides of the equation will still yield two equal quantities.
In the given equation, "6k = 36," the subtraction property is used by subtracting 1 from both sides of the equation to form "6k - 1 = 36 - 1." This is done to maintain equality while manipulating the equation.
The property being used in this example is the subtraction property of equality.
To understand why this property is being used, let's break it down step by step:
1. The given equation is: 6k = 36.
2. The subtraction property of equality allows us to subtract the same value from both sides of an equation without changing the equality. In other words, if we subtract the same number from both sides, the equation will still hold true.
3. In this case, we are subtracting 1 from both sides of the equation, so the equation becomes: 6k - 1 = 36 - 1.
4. Simplifying the equation gives us: 6k - 1 = 35.
Therefore, the property being used here is the subtraction property of equality, which states that if you subtract the same value from both sides of an equation, the equation remains true.