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How can you determine whether a system has no solutions by graphing?
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
When solving a system of equations by elimination What would you want to get?
The coordinates (x,y). It is the point of intersection.
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 are two or more equations called?
A system of equations.
How do you find the solution to a system of equation?
There are several methods. 1. graphing, then find the intersection. 2. Substitution (take one equation and solve for one variable, substitute that into the 2nd equation) 3. Elimination. Arrange both equations in standard form, arrange so that the coefficients on one of the variables are the same and subtract the 2 equations. 4. Cramer's rule, use matrices to solve.
What are graphing method?
graphing method is when you graph two lines and then find the intersection which is the answer of the system of equations
How can you determine whether a system has no solutions by graphing?
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
Solving the system of equations by graphing?
Solving a system of equations by graphing involves plotting the equations on the same coordinate plane and finding the point(s) where the graphs intersect, which represents the solution(s) to the system. Each equation corresponds to a line on the graph, and the intersection point(s) are where the x and y values satisfy both equations simultaneously. This method is visually intuitive but may not always provide precise solutions, especially when dealing with non-linear equations or when the intersection point is not easily identifiable due to the scale or nature of the graphs.
What is the concept of graphing system of equations?
You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.
When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
Describe a system of equations that would be better graphed using graphing technology?
no.
In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?
A system of linear equations is consistent if there is only one solution for the system. Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution. Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.
How do you find the point that two equations intersect?
If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!
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 does the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
Explain the process of using graphing technology to solve a system of equations Describe a system of equations that would be better graphed using graphing technology?
This looks like a question from a Virtual School course - please ask you teacher for help and use the examples in the lesson.
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
