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A system of two linear equations has exactly one solution if?
The slopes (gradients) of the two equations are different.
Can a system of two linear equations have exactly two solutions?
Yes, a system can, in fact, have exactly two solutions.
What is two or more equations that contain two or more variables called?
A system of equations.
What are two or more equations called?
A system of equations.
If a system of linear equations has exactly one solution then the two lines are what?
perpendicular
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
There is a system of linear equations with exactly two solutions is it true or false?
False. There can either be zero, one, or infinite solutions to a system of two linear equations.
How could you show that two equations aren't equivalent?
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
What system of two linear equations in two variables that has exactly one solution?
An independent system has one solution.
Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
What is the consistent equation in mathematics?
Consistent equations are two or more equations that have the same solution.
What is the name of a set of two or more equations containing two or more variables?
Alphonse
