0
When you graph a system of linear equations why does the intersection of the two lines represent the solution of the system?
Wiki User
∙ 9y agoWant this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Does every pair of linear simultaneous equations have a unique solution?
So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What does a air of linear equations having a unique solution represent graphically?
Presumably the question concerned a PAIR of linear equations! The answer is two straight lines intersecting at the point whose coordinates are the unique solution.
How many types of solutions of a system of two linear equations in two unknowns can exist?
There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.
What is the relationship between geometry and non-linear equations?
Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.
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.
What is a system of linear equations?
A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.
What is true about a system of two linear equations that has no solution?
The two equations represent parallel lines.
What is the solution of the system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
Does every pair of linear simultaneous equations have a unique solution?
So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.
What is the definition of solution of system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
When solving systems of linear equations what does the solution represent?
A single point, at which the lines intercept.
What are ways to represent linear equations?
One of the most common ways to represent linear equations is to use constants. You can also represent linear equations by drawing a graph.
When two line graphs are crossing what does it mean?
It means that the coordinates of the point of intersection satisfy the equations of both lines. In the case of simultaneous [linear] equations, these coordinates are the solution to the equations.
What does a air of linear equations having a unique solution represent graphically?
Presumably the question concerned a PAIR of linear equations! The answer is two straight lines intersecting at the point whose coordinates are the unique solution.
How many types of solutions of a system of two linear equations in two unknowns can exist?
There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.
