To write an equation if two expressions are equal, simply use the equals sign (=) between them.

## Now let’s take a closer look

To write an equation if two expressions are equal, simply use the equals sign (=) between them. This indicates that both expressions have the same value. As Albert Einstein once said, “Pure mathematics is, in its way, the poetry of logical ideas.”

Here are some interesting facts about equations:

- An equation is a mathematical statement that shows that two expressions are equal.
- The equals sign (=) was first introduced by Welsh mathematician Robert Recorde in 1557. Before this, mathematicians often used phrases such as “is equal to” to denote equality.
- An equation can have one variable, such as x, or multiple variables.
- Equations can be solved using various methods, such as algebraic manipulation or graphing.
- Equations are used in many fields, including physics, engineering, and economics.

Here is a table showing some examples of equations:

Equation | Meaning |
---|---|

2 + 3 = 5 | Two plus three is equal to five |

x = 4 | x is equal to four |

2x + 5 = 11 | Two times x plus five is equal to eleven |

a^2 + b^2 = c^2 | The sum of the squares of a and b is equal to the square of c |

Remember, when writing an equation, always use the equals sign (=) to show that two expressions are equal.

## Answer to your inquiry in video form

The video demonstrates how to find equivalent expressions by combining like terms and using the distributive property. They take an example expression and rewrite it to simplify the terms. By doing so, they find that the expression is equivalent to another expression, which they confirm by comparing it to given answer choices.

## Check out the other answers I found

How to show two expressions are equal?Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants.

If all of the terms in the two expressions are identical, then the two expressions are equivalent.

An equation is a statement that two expressions are equal. For example, the expression 5 + 3 5 +3 is equal to the expression 6 + 2 6 +2 (because they both equal 8 8), so we can write the following equation: 5 + 3 = 6 + 2 5 + 3 = 6 + 2

The equation will be:

125+0.15x=75+0.40x

The equation is solved as follows.

125+0.15x=75+0.40×125−75=0.40x−0.15×50=0.25xx=200

## You will probably be interested

**An equation**is a mathematical statement or sentence comprised of two equalities or expressions joined with an equal sign.

**a solution of the equation**.

**Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other**. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.

**All equations have an equal sign**( = = ). The = = sign is not an operator like addition ( + +) or subtraction ( – −) symbols. The equal sign doesn’t tell us what to do. It only tells us that two expressions are equal. For example, in: The – − sign tells us what to do with 6 6 and 2 2: subtract 2 2 from 6 6.

**two expressions that are equal to each other**. Equations may or may not have variables. What is an example of an equation? An equation is two expressions that equal each other. Hence, an example of an equation would be 3x + 2 = x – 5. What are Equations & Formulae? Maths is made up of expressions, equations, and formulas.

**All equations have an equal sign**( = = ). The = = sign is not an operator like addition ( + +) or subtraction ( – −) symbols. The equal sign doesn’t tell us what to do. It only tells us that two expressions are equal. For example, in: The – − sign tells us what to do with 6 6 and 2 2: subtract 2 2 from 6 6.