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When there is no ordered n-tuple (pair, triplet, quartet - depending on the number of dimensions) that satisfies both equations at the same time. In graph form, it is when the straight lines representing the two equations are non-intersecting.
In 2 dimensions non-intersection implies that the lines are parallel.
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What are the possible solutions for a pair of linear equation?
Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
What is a system of equation that has no solution?
It is an inconsistent system of equations. --- Or perhaps you want examples? One pair of inconsistent equations: x + y = 4 x + y = 1 Another pair: y = x2 + 3 y = 1 (In the first equation of this pair, y is minimised when x = 0, when its value is 3. But the second equation claims that y = 1.)
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).
Can a pair of linear angles form a linear pair?
Yes.
Are supplementary angles necessarily a linear pair?
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
What are the possible solutions for a pair of linear equation?
Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
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.
How is a system of 2 linear equations have no solution?
The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.
What is a system of equation that has no solution?
It is an inconsistent system of equations. --- Or perhaps you want examples? One pair of inconsistent equations: x + y = 4 x + y = 1 Another pair: y = x2 + 3 y = 1 (In the first equation of this pair, y is minimised when x = 0, when its value is 3. But the second equation claims that y = 1.)
Which ordered pair is a solution of the linear system?
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
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 solution of a linear equation called?
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.
Which word pair is the vertex of y equals x plus 4?
One option is "cannot exist". The equation is linear and linear equations do not have vertices.
What is y equals 1x plus 6?
It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.
Can a pair of linear angles form a linear pair?
Yes.
Are supplementary angles necessarily a linear pair?
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
Do all supplementary angles from a linear pair Are all linear pair supplementary?
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
