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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.
What else can I help you with?
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 do you call a linear equation that has no solution?
You just write, "No Solution."
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
How many solution does a linear equation in one variables have?
One
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 the condition for unique solution of linear equation?
The equations are consistent and dependent with infinite solution if and only if a1 / a2 = b1 / b2 = c1 / c2.
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.
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.
What do you call the three systems of linear equation?
Single answer. Coincidental (same equation), No solution.
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
What is a system of equations that has at least one solution?
a linear equation
