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# What does the solution of an equation represent?

## What does the solution of an equation represent?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values (one for each unknown) such that, when substituted for the unknowns, the equation becomes an equality.

## What is the purpose of an equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation. Many professionals use equations every day, including air traffic controllers, architects, computer programmers and carpenters.

What is equation in math definition?

An equation is simply a statement in math in which two things on equal. There are two expressions, one on each side of an equals sign. For example: X = 7.

### Which point represents the solution to the system of equations?

The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect.

### What is the main purpose of the equation in economics?

The equation of exchange has two primary uses. It represents the primary expression of the quantity theory of money, which relates changes in the money supply to changes in the overall level of prices. Additionally, solving the equation for M can serve as an indicator of the demand for money in a macroeconomic model.

What equation represents a proportional relationship?

y = kx
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx. If an equation in a different form can be rewritten as above, then it is a proportional relationship.

## What equation represents a direct variation?

A direct-variation relationship can be represented with an equation of the form y = kx, where k is the constant of variation. Because a direct variation is a proportional relationship, using an equation is an alternate strategy for solving a proportion.

## What is equation and expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

What is equation in maths with example?

An equation is simply defined as mathematical statements that express the relationship between two values. Usually, the two values are equated by an equal sign in an equation. For example, 2x+3 = 7 is an equation, where 2x+3 and 7 are equated by equal to “=” sign.

### What is the solution of the system of equations?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

### What does determine the solution mean?

To find the solution to an equation means to find the value of the variable that makes the equation true.

Which equation represents a linear function?

Linear Functions. A linear function in two variables is any equation of that may be written in the form y = mx + b where m and b are real number coefficients and x and y represent any real numbers that make up a solution.

## What is equation represents this graph?

In mathematics, a graphing linear equation represents the graph of the linear equation. We know that the linear equation is defined as an algebraic equation in which each term should have an exponents value of 1. The graph of the linear equation will always result in a straight line. One such example of a linear equation is y = mx + b.

## What is the equation for proportional relationship?

The graph of a proportional relationship is a straight line that passes through the origin. Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph.