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The solution to a system is an ordered pair (x,y) where the two lines intersect.

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What will the intersection of graphs of the two linear equations tell you?

y=f(x) and y =g(x) are two linear equation of x. the intersection of their graphs will tel the solution of the equation f(x)=g(x).


It is impossible for a system of two linear equations to have exactly one solution. True or False?

False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.


Can a pair of linear equation have exactly two solutions?

No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).


What is a linear equation with no solution?

Parallel


What is the solution of an equation with 2 variables x and y?

A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.


What is a solution of a linear equation in two variables?

The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.


What do you call a linear equation that has no solution?

You just write, "No Solution."


What is inconsistent system of linear equation?

It is a system of linear equations which does not have a solution.


What is a solution of a linear equation called?

Ordered Pair * * * * * An ordered SET. There can be only one, or even an infinite number of variables in a linear system.


What does the graph of a linear equation represent?

A straight line.


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.


Can linear equations have more than one solutions?

No, a linear equation in two variables typically has one unique solution, which represents the intersection point of two lines on a graph. However, if the equation represents the same line (as in infinitely many solutions) or if it is inconsistent (no solutions), then the type of solutions can vary. In general, a single linear equation corresponds to either one solution, no solutions, or infinitely many solutions when considering the same line.