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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 explain?
No, a system of two linear equations cannot have exactly two solutions. In a two-dimensional space, two linear equations can either intersect at one point (one solution), be parallel (no solutions), or be the same line (infinitely many solutions). Therefore, it is impossible for a system of two linear equations to have exactly two solutions.
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.
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.
If a system of linear equations has exactly one solution then the two lines are what?
perpendicular
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 a set of two or more equations that contain two or more variables?
A set of two or more equations that contain two or more variables is known as a system of equations. These equations can be linear or nonlinear and are solved simultaneously to find the values of the variables that satisfy all equations in the system. Solutions can be found using various methods, such as substitution, elimination, or graphing. If the system has a unique solution, it means the equations intersect at a single point; if there are no solutions or infinitely many solutions, the equations may be parallel or coincide, respectively.
