2x=4
what property
The property being used in this equation is the distributive property.
The property used in the equation 2x = 4 is the distributive property.
To determine the property used in the equation 2x = 4, let's review some common properties of equations:
1. Reflexive Property: This property states that any quantity is always equal to itself. For example, a = a.
2. Symmetric Property: This property states that if two quantities are equal, then their order can be reversed. For example, if a = b, then b = a.
3. Transitive Property: This property states that if a=b and b=c, then a=c.
4. Addition Property: This property states that if a=b, then a+c=b+c.
5. Subtraction Property: This property states that if a=b, then a-c=b-c.
6. Multiplication Property: This property states that if a=b, then a*c=b*c.
7. Division Property: This property states that if a=b, then a/c=b/c (assuming c is not zero).
In the given equation 2x = 4, the property used would be the multiplication property. The equation shows that the variable x is being multiplied by 2 to equal 4. By dividing both sides of the equation by 2, you can solve for x:
2x/2 = 4/2
This simplifies to:
x = 2
So, the multiplication property was used to solve the equation and find the value of x.