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What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
What is it called where graph lines meet?
A point of intersection.
The point of intersection on a graph is called?
equilibrium
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 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.
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
What is it called where graph lines meet?
A point of intersection.
The point of intersection on a graph is called?
equilibrium
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.
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 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.
What is it called when two lines on a graph intercept?
It is called the point of intersection. It will also be the value that satisfies the equation F(x)=G(x) were F and G of x are functions( that are intersecting).
How do you know which region of the graph of a system of linear inequalities contains the solutions?
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.
