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Finally, a linear equation represents a line, not a single point.

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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 would you know if a linear equation has one solution?

A linear equation has one solution if its graph represents a straight line that intersects the coordinate plane at a single point. This occurs when the equation is in the form (y = mx + b), where (m) (the slope) is not equal to zero. Additionally, for a system of linear equations, if the equations represent lines with different slopes, they will intersect at exactly one point, indicating a unique solution.


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 is the linear equation of x equals -4 and y equals -1 over 3?

A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.


What is an Airy equation?

An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.

Related Questions

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.


What is y equals 1x plus 6?

It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.


If the ordered pair (3-2) satisfies one of the two linear equations in a system how can you tell whether the point satisfies the other equation of the system?

Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.


What is the y-intercept of a linear equation?

The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.


What is the point at which the lines intersect in a system of linear equations?

The coordinates of the point of intersection represents the solution to the linear equations.


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 is the linear equation of x equals -4 and y equals -1 over 3?

A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.


What is 3x plus 1.80y equals 36?

It's a single linear equation in two variables. The graph of the equation is a straight line; every point on the line is a set of values that satisfy the equation. In other words, there are an infinite number of pairs of (x,y) values that satisfy it. In order to figure out numerical values for 'x' and 'y', you would need another equation.


What is an Airy equation?

An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.


How do you solve an equation with 2 variables?

You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.


What is mx b used for?

The equation ( y = mx + b ) represents the slope-intercept form of a linear equation. In this formula, ( m ) denotes the slope of the line, indicating its steepness and direction, while ( b ) represents the y-intercept, the point where the line crosses the y-axis. This format is commonly used in algebra to easily identify and graph linear relationships between two variables.


What types of solutions can be found for linear equation?

A linear equation has a n infinite number of solutions. The coordinates of each point on the line is a solution.