The substitution property of equality, one of the eight properties of equality, states that **if x = y, then x can be substituted in for y in any equation**, and y can be substituted for x in any equation.

## What is an example of substitution property?

Example. If **5x – 2y = z and x = y**, then 5x – 2x = 12 or 5y – 2y = 12 by the substitution property.

**What does the substitution property of equality say?**The substitution property of equality, one of the eight properties of equality, states that

**if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation**.

**What is the meaning of substitution property?**

Substitution Property: **If two geometric objects (segments, angles, triangles, or whatever) are congruent and you have a statement involving one of them, you can pull the switcheroo and replace the one with the other.**

**What is substitution transitive property of equality?**

The substitution property of equality states: **If x=y then y can be substituted for x in any expression**. The substitution property is more general than the transitive property because one can not only substitute x for y in y=z but on any expression.

### What are the 5 properties of equality?

- Reflexive property of equality: a = a.
- Symmetric property of equality: …
- Transitive property of equality: …
- Addition property of equality; …
- Subtraction property of equality: …
- Multiplication property of equality: …
- Division property of equality; …
- Substitution property of equality:

You may also read,

### Is distributive property a property of equality?

The distributive property states that **the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum**. For example, a(b+c)=ab+ac. Check the answer of

### What is an example of the symmetric property?

In mathematics, the symmetric property of equality is really quite simple. This property states that if a = b, then b = a. … For example, all of the following are demonstrations of the symmetric property: **If x + y = 7, then 7 = x + y**.

### What is property of equality?

**Two numbers equal to the same number are equal to each other**. Addition Property. For all real numbers x,y, and z , if x=y , then x+z=y+z . These properties allow you to balance and solve equations involving real numbers. Read:

### What are the 3 properties of congruence?

There are three properties of congruence. They are **reflexive property, symmetric property and transitive property**. All the three properties are applicable to lines, angles and shapes. Reflexive property of congruence means a line segment, or angle or a shape is congruent to itself at all times.

### How do you explain transitive property?

The Transitive Property states that for all real numbers x ,y, and z, **if x=y and y=z , then x=z** . If x=y , then x may be replaced by y in any equation or expression.

### What is the difference between substitution property of equality and transitive property of equality?

Substitution is **the replacement of one piece**. Transitive Property: … The key for Transitive Property is that one entire side of the equation has to match. So, it’s not just replacing one piece.

### How do you solve properties of equality?

If two expressions are equal to each other and you **multiply both sides by the same number**, the resulting expressions will also be equivalent. When the equation involves multiplication or division, you can “undo” these operations by using the inverse operation to isolate the variable.

### What are the 9 properties of equality?

- The Reflexive Property. a =a.
- The Symmetric Property. If a=b, then b=a.
- The Transitive Property. If a=b and b=c, then a=c.
- The Substitution Property. If a=b, then a can be substituted for b in any equation.
- The Addition and Subtraction Properties. …
- The Multiplication Properties. …
- The Division Properties. …
- The Square Roots Property*