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What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
The point of intersection on a graph is called?
equilibrium
What is it called where graph lines meet?
A point of intersection.
When you graph a system of linear equations why does the intersection of the two lines represent the solution of the system?
The intersection of two lines in a graph of a system of linear equations represents the solution because it is the point where both equations are satisfied simultaneously. At this point, the x and y coordinates meet the conditions set by both equations, meaning that the values of x and y make both equations true. Hence, the intersection point is the unique solution to the system, assuming the lines are not parallel or coincident.
How do you work out the point of intersection without a graph?
You use algebra and solve the system(s) of equations using techniques such as elimination or substitution.
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
The point of intersection on a graph is called?
equilibrium
What is it called where graph lines meet?
A point of intersection.
What is the point of intersection of the axes?
If the question refers to the axes of a graph, their intersection is called the "origin".
What is the point of intersection called when there is a graph of two linear equations when dealing with business analysis?
The point of intersection is called the break even point.
When you graph a system of linear equations why does the intersection of the two lines represent the solution of the system?
The intersection of two lines in a graph of a system of linear equations represents the solution because it is the point where both equations are satisfied simultaneously. At this point, the x and y coordinates meet the conditions set by both equations, meaning that the values of x and y make both equations true. Hence, the intersection point is the unique solution to the system, assuming the lines are not parallel or coincident.
How do you work out the point of intersection without a graph?
You use algebra and solve the system(s) of equations using techniques such as elimination or substitution.
How the solution of a linear system with two equations is represented by the point where the graphs of the two equation intersect?
The first graph consists of all points whose coordinates satisfy the first equation.The second graph consists of all points whose coordinates satisfy the second equation.The point of intersection lies on both lines so the coordinates of that poin must satisfy both 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).
How do you use a graph to determine 3 solutions of an equation?
To determine three solutions of an equation using a graph, first plot the equation on a coordinate plane. Identify the points where the graph intersects the x-axis; these x-values represent the solutions of the equation. Each intersection point corresponds to a solution, so you can read the x-coordinates of these points to find the three solutions. Ensure that the graph is drawn accurately for precise identification of the solutions.
How will you recognize a linear graph?
All linear graphs have a straight line and the equation: y = mx + c, where m is the gradient of the line and c is the y-axis intersection point.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
