Answer:
Subtraction Property of Equality
Explanation:
Properties of equality can help manipulate literal equations to solve for specific variables.
Subtraction Property of Equality
The subtraction PoE states:
- if a = b, then a-c = b-c.
This means if an equivalent quality is subtracted from both sides of an equation, then the equation is still true. In the equation above, 3x is subtracted from both sides of the equation. The subtraction PoE tells us that we are allowed to do this and maintain equality.
Other Properties of Equality
There is a multitude of PoEs including Addition, Multiplication, and Division. All of the properties also state that if an equal operation is done on both sides of an equation, then it is still equal. So, the subtraction PoE applies to all operations. There are also other properties of equality like Reflexive and Transitive that also help to solve literal equations.