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A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.

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Related Questions

An equation has one solution?

A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.


How many answers does a linear equation in one variable have?

one


How many solutions does a 2 variable equation have?

yo mammaa


How many solutions does an equation have when you isolate the variable and it equals constant?

As many solutions as there are points in the domain.


How many solutions are there in a linear equation?

Either an infinite number or none.


What are inifintly equations?

Linear equations with one, zero, or infinite solutions. Fill in the blanks to form a linear equation with infinitely many solutions.


How many solutions does an equation have if the variable adds out and the final sentence is true?

If an equation simplifies such that the variable cancels out and results in a true statement (like (5 = 5)), it has infinitely many solutions. This is because any value of the variable will satisfy the equation. Conversely, if the simplification leads to a false statement (like (5 = 3)), it has no solutions.


How many solution does a linear inequality in one variable have?

Inequalities tend to have infinitely many solutions.


Can linear equations have more than one solutions?

No, a linear equation in two variables typically has one unique solution, which represents the intersection point of two lines on a graph. However, if the equation represents the same line (as in infinitely many solutions) or if it is inconsistent (no solutions), then the type of solutions can vary. In general, a single linear equation corresponds to either one solution, no solutions, or infinitely many solutions when considering the same line.


What are the characteristics of linear equation?

A linear equation is characterized by its representation in the form ( ax + b = 0 ), where ( a ) and ( b ) are constants, and ( x ) is the variable. The graph of a linear equation is a straight line, indicating a constant rate of change. Additionally, it has a degree of 1, meaning the highest exponent of the variable is 1, and it can have one solution, infinitely many solutions, or no solution, depending on the coefficients. Linear equations can be expressed in various forms, including slope-intercept, point-slope, and standard forms.


Why a linear equation of two variables has an infinite number of solutions?

A linear equation in two variables represents a straight line on a Cartesian plane. Each point on this line corresponds to a unique pair of values for the two variables that satisfy the equation. Since there are infinitely many points on a line, there are also infinitely many solutions to the equation. Thus, any linear equation in two variables has an infinite number of solutions.


How many solutions does an equation have when the variable adds out and the final sentence is false?

none