equation
In mathematics, an equation is a statement that uses an equal sign to represent the equality of two expressions
In mathematics, an equation is a statement that uses an equal sign to represent the equality of two expressions. It states that the expressions on both sides of the equal sign are equal to each other. Equations typically involve unknown variables and our goal is to find the values of these variables that satisfy the given equation.
For example, consider the equation:
2x + 5 = 17
In this equation, the variable “x” is unknown, and our aim is to find its value that makes the equation true. We can solve this equation by performing various operations to isolate the variable. Subtracting 5 from both sides of the equation gives:
2x = 17 – 5
2x = 12
Then, dividing both sides of the equation by 2 gives:
x = 12/2
x = 6
Therefore, the solution to the equation is x = 6, which means that when we substitute x = 6 back into the original equation, it will be true.
Equations can come in different forms such as linear equations, quadratic equations, exponential equations, etc. The methods used to solve equations depend on their form and may involve algebraic manipulations, factoring, graphing, or even numerical methods.
Overall, equations are fundamental in mathematics as they allow us to model and solve various real-world problems and mathematical concepts.
More Answers:
The Division Property of Equality | Solving Equations through DividingThe Subtraction Property of Equality in Algebra | Understanding and Applying the Fundamental Concept
Understanding Inverse Operations in Mathematics | Addition, Subtraction, Multiplication, Division, Exponents, and Roots.