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What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
Do linear equations form a line?
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
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 can graphs be used to estimate the solution for a system of linear equations?
Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.
What is invariant point?
a point on a graph where if the graph is transformed the point stays the same.
How we solve equations of motion by graph?
One can solve equations of motion by graph by taking readings of the point of interception.
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
Does the graph of a system of equations intersect at more than 1 point?
Sometimes. Not always.
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.
The solution to a two-variable system is the point on a graph at which the lines cross?
Yes, the solution to a two-variable system is the point where the equations of the lines representing the system intersect on a graph. This point represents the values of the variables that satisfy both equations simultaneously.
How do you interpret the solution of a system of equations by the corresponding graph?
The solution of a system of equations corresponds to the point where the graphs of the equations intersect. If the equations have one unique point of intersection, that point represents the solution of the system. If the graphs are parallel and do not intersect, the system has no solution. If the graphs overlap and coincide, the system has infinitely many solutions.
Do linear equations form a line?
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
What is the common point of these equations x plusy equals 6 x plus y equals 2?
x + y = 6x + y = 2These two equations have no common point (solution).If we graph both equations, we'll find that each one is a straight line.The lines are parallel, and have no intersection point.
Can you solve system of equations by graphing?
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such 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 can graphs be used to estimate the solution for a system of linear equations?
Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.
On a graph the solution of a system of a linear equations will be represented by what?
The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.
