Can a linear system have 2 solutions?

Can a linear system have 2 solutions?

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Q. Can a linear system have 2 solutions?

Number of Solutions Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.) The word unique in this context means there is a solution, and it’s the only one.

Q. Can a system of two linear equations have only two or three solutions Why or why not?

The correct answer is that the system has one solution. Systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice.

Q. Can a system of linear equations have more than one solution?

There can be more than one solution to a system of equations. A system of linear equations will have one point of intersection, or one solution.

Q. Is it possible for a system of linear equations to have no solutions?

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

Q. How many solutions does the pair of equations?

Answer. Answer: The pair of equation of lines do not have any solution. Since the both equation of lines have same slope it shows that both the lines are parallel to each other and we know that the parallel lines never intersect with other so both the pair of equation of lines do not have any solution.

Q. Is the pair of equations y 0 and y =- 5 has solutions?

question_answer Answers(2) Both the lines y = 0 and y = -5 are parallel to x-axis. Hence they do not have solution.

Q. How many solutions does the pair of equations y 0 and y has?

Answer: Zero solutions. Step-by-step explanation: The pair of equations are parallel and thus has no solution.

Q. How many solutions do pair of equations y 3 and Y 8 have?

Step-by-step explanation: y=3 is the x axis and y=8 is the line parallel to the x axis at a distance of 6 units from y=0. The lines will be parallel and hence no solution. 3=8 which is an absurd. So, the equations are inconsistent.

Q. How many solutions does the pair of equations y 0 and y =- 7 has?

The pair of equation y=0 & y=-7 has no solution. The equation has parallel line have no solution.

Q. For what values of A and B does the following pair of linear equations have infinite number of solutions?

Solution: For the equations to have infinite number of solutions, the ratios of the coefficients of x and y and constants in two equations should be equal. Therefore, is the value of a and b.

Q. What is the value of K system of equations?

Thus for all real values of k other than 10, the given system of equations will have a unique solution. Hence, the required value of k is 10. There is no value of k for which the given system of equations has an infinite number of solutions.

Q. For which value of k will the following pair of linear equations have unique solution?

Answer. Hence, for every value of k other than 1 , the given pair of linear equations will have a unique solution.

Q. For what value of K the following system of linear equations has no solution?

Hence, the given system of equations will have no solution, if k=2.

Q. For which value of p does the pair of equations has unique solution?

Hence the given pair of equation has unique solution for all values of p except 4.

Q. For what value of k does the system of linear equations 2x 3y 7 and k 1 x k 2 y 3k has an infinite number of solutions?

Answer: The value of k is 7.

Q. For what value of k the system of equations has infinitely many solutions?

So, for k=2 the given system of the linear equations has infinite solutions.

Q. For what positive value of K the following linear equation has infinitely many solutions?

∴ for k=±4 The line has infinite solutions.

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