A linear equation system has no solution when the equations represent parallel lines that never intersect. This occurs when the coefficients of the variables are proportional, but the constant terms are not, indicating that the lines have the same slope but different y-intercepts. Consequently, the system is inconsistent, as there are no values that satisfy all equations simultaneously.
Parallel
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.
You just write, "No Solution."
If the two equations are linear transformations of one another they have the same solution.
One
Parallel
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.
The equations are consistent and dependent with infinite solution if and only if a1 / a2 = b1 / b2 = c1 / c2.
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.
Ordered Pair * * * * * An ordered SET. There can be only one, or even an infinite number of variables in a linear system.
No, if two lines are parallel they will not have a solution.
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.
Single answer. Coincidental (same equation), No solution.
If the two equations are linear transformations of one another they have the same solution.
a linear equation