Q: Why does the intersection of the two lines represent the solution of the linear equation system?

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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).

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).

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.

Parallel

You just write, "No Solution."

Related questions

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).

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.

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).

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.

Parallel

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

You just write, "No Solution."

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

A solution of a linear equation is called a root or a solution. It is a value that satisfies the equation when substituted back into it.

The coordinates of the point of intersection represents the solution to the linear equations.

A straight line.

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