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

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Q: Why does the intersection of the two lines represent the solution of the linear equation system?
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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 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 linear equation with no solution?

Parallel


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 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.


Does every system of a linear equation have a solution?

No, if two lines are parallel they will not have a solution.


What does it mean for a ordered pair to be a solution to a linear equation?

An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.