Which pair of linear equation has a unique solution?
(iv) x – 3y – 7 = 0; 3x – 3y – 15 = 0. Therefore, In the given problem the given sets of lines are parallel and no solution for these equations. Therefore, A unique solution for these equations.
Is a linear equation 2x 3y 5 has a unique solution?
this equation has infinite number of solution for very value of y the variable x Changes.
What is unique solution in linear equation in two variables?
For the given linear equations in two variables, the solution will be unique for both the equations, if and only if they intersect at a single point. The condition to get the unique solution for the given linear equations is, the slope of the line formed by the two equations, respectively, should not be equal.
What is a unique solution of an equation?
In a set of linear simultaneous equations, a unique solution exists if and only if, (a) the number of unknowns and the number of equations are equal, (b) all equations are consistent, and (c) there is no linear dependence between any two or more equations, that is, all equations are independent.
For what value of K the following pair of linear equation has unique solution?
We know that if the system of equation has unique solution then a1a2≠b1b2. Hence, for the system of equations to have a unique solution the value of k must not be 6. So, the answer is k can have any value other than 6.
How many solutions of the linear equation 2x 5y 7 has?
(c) In the given equation 2x – 5y = 7, for every value of x, we get a corresponding value of y and vice-versa. Therefore, the linear equation has infinitely many solutions.
Which of the following is a solution of the equation 2x 3y 5 *?
Therefore the solutions are (1,1), (2,1/3), (3,-1/3). Hope this helps you. Plz mark me as the brainliest.
What does no unique solution mean?
If one equation is a linear combination of two others then there is no unique solution. Here is an example 2x + y + z = 4, x – y = 0, 3x + z = 4. Not only is (1,1,1) a solution but also (2,2,-2) and (3,3,-7).
What is pair of linear equation in two variables?
Linear equations in two variables are equations which can be expressed as ax + by + c = 0, where a, b and c are real numbers and both a, and b are not zero. The solution of such equations is a pair of values for x and y which makes both sides of the equation equal.
How do you find the unique solution of a quadratic equation?
Given a quadratic equation ax2 + bx + c = 0, plug the coefficients into the expression b2 – 4ac to see what results:
- If you get a positive number, the quadratic will have two unique solutions.
- If you get 0, the quadratic will have exactly one solution, a double root.
For what value of k are the points K 2 2k?
Given points will be collinear, if area of the triangle formed by them is zero. ⇒ k = 1/2 or, k = – 1.