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How many solution does a linear equation in two variables have?
Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.
How do you tell if two linear equation have more then one solution?
by when you cancelled the variables and the two numbers left are equal. ex.5=5, is a many solution equation, in the other hand if is like this 6=5, is a no solution.
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.
When will an equation have one solution no solution and infinitely many solutions?
An equation will have one solution when it represents a line that intersects with another line at a single point, indicating a unique solution. It will have no solution if the lines are parallel, meaning they never intersect. An equation has infinitely many solutions when it represents the same line, where every point on the line is a solution. These scenarios typically apply to linear equations in two variables.
How many solutions as a linear equation have?
A linear equation can have either one solution, infinitely many solutions, or no solution at all, depending on the relationship between the variables involved. If the equation represents a line in a two-dimensional space, it typically has one solution (where the line intersects a point), infinitely many solutions (if the line overlaps with another), or no solution (if the lines are parallel and never intersect). In higher dimensions, the same principles apply, but the geometric interpretation involves planes or hyperplanes.
How many solutions does linear equation in two variable have?
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.
How many solution does a linear equation in two variables have?
Infinitely many. Assuming the variables are "x" and "y" , for every value of "x" a value for "y" can be calculated.
What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
How do you tell if two linear equation have more then one solution?
by when you cancelled the variables and the two numbers left are equal. ex.5=5, is a many solution equation, in the other hand if is like this 6=5, is a no solution.
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.
When will an equation have one solution no solution and infinitely many solutions?
An equation will have one solution when it represents a line that intersects with another line at a single point, indicating a unique solution. It will have no solution if the lines are parallel, meaning they never intersect. An equation has infinitely many solutions when it represents the same line, where every point on the line is a solution. These scenarios typically apply to linear equations in two variables.
How many solutions as a linear equation have?
A linear equation can have either one solution, infinitely many solutions, or no solution at all, depending on the relationship between the variables involved. If the equation represents a line in a two-dimensional space, it typically has one solution (where the line intersects a point), infinitely many solutions (if the line overlaps with another), or no solution (if the lines are parallel and never intersect). In higher dimensions, the same principles apply, but the geometric interpretation involves planes or hyperplanes.
How do you solve 8x-3y equals 12?
You cannot "solve" a single linear equation with two variables. Alternatively, you could argue that any one of the infinitely many points on the line represented by that equation is a 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 solution for Y equals 2x-5?
7
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 can you solve y equals x-7?
Since there is only one linear equation in two unknown variables, it cannot be solved further. The coordinates of any of the infinitely many points on the line given by the equation: y = x - 7 are a solution.
