equation: definition


Equation is a mathematical relationship that establishes a relationship between variables. It can be used to model various physical phenomena or to solve mathematical problems. There are different types of equations, some of which are more complex than others. In this article, we will give you a definition of the equation and present some examples of this type of mathematical relationship.

What is an equation? Definition and Examples

Equation is a mathematical tool used to describe a relationship between variables. It is composed of a mathematical expression equal to zero. Variables can be numbers, letters or symbols. Equations can be used to solve problems in algebra, geometry, physics and chemistry.

An equation can have several solutions. For example, the equation x+2=5 has two solutions: x=3 and x=5. The solutions of the equation are the values ​​that the variables take for the equation to be true.

Some equations have no solution. For example, the equation x+1=x has no solution because there is no number that can be equal to itself plus one. This equation is said to be impossible.

There are several types of equations: linear equations, quadratic equations, polynomial equations, differential equations, etc. Each of these types of equations has its own characteristics and solution methods.

Equations are used in many scientific and technical fields. In physics, we use equations to describe the movement of an object or the behavior of a system. In chemistry, we use equations to model chemical reactions. In geometry, we use equations to draw curves and surfaces.

Equations are also used in computer science. Computer programs are often written as equations. These equations describe how the program should work.

The equation: how does it work? Detailed examples

The equation is a bit like a mathematical puzzle. There is an uncertainty, a mystery to be solved. To solve an equation, you have to find what the unknown variable represents. It's like trying to figure out how many people can fit in your car, knowing only how many seats are available. You can use the following equation:

Number of seats in your car = Number of seats available + Number of seats

So, to solve this equation, you need to add the number of available seats to the number of seats. If you have 5 seats available and 3 seats, you can transport a maximum of 8 people in your car.

There are many types of equations, but they are all solved the same way: by finding what the unknown variable represents. The simplest equations are those where there is only one unknown variable. For example, the equation x + 3 = 5 has only one unknown variable, x. To solve this equation, simply subtract 3 from both sides of the equation:

x + 3 = 5

x + 3 – 3 = 5 – 3

x = 2

Other equations may have several unknown variables. For example, the following equation has two unknown variables, x and y:

x + y = 10

To solve such an equation, you must isolate one of the two variables. To isolate a variable, we must ensure that this variable is found alone on one side of the equation. In the example above, we can isolate the variable x by subtracting y from both sides of the equation:

x + y = 10

x + y – y = 10 – y

x = 10 – y

Now that the variable x is isolated, we can easily find its value by replacing all occurrences of x in the equation with the value of y. If we choose y = 5, we obtain:

x = 10 – 5

x = 5

So if y = 5, x = 5.

There are many practical applications of the equations. They can be used to model real situations and find optimal solutions. For example, the equations can be used to calculate the volume of a container based on its diameter. We can also use equations to determine how fast an object must move to reach a certain goal. Equations are also used in finance to determine the future value of an investment.

In summary, an equation is a mathematical relationship between two quantities that have the same value. To solve an equation, we must find the value that makes both sides of the equation equal.