For what value of k does the system have no solution?
k = 16
How do you determine if a system has no solution?
Consistent and Dependent Systems
- If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
- If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
How do you determine if an equation has no solution or infinitely many solutions?
Correct answer: The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.
For what value of k will the following system of linear equations has no solution?
Hence, the given system of equations will have no solution, if k=2.
What is the value of K?
|Value of k||Units|
What is the value of K 3x y 8?
Answer. Answer: For k = 2, the two equations 3x-y+8=0 and 6x-ky=-16 represent coincident lines.
For what value of k does the system of linear equations 2x 3y 7?
Hence, the value of k is 7.
How many solutions does the pair of equations y 0 and y =- 7 have?
Graphically y = 0 is a straight line which is x – axis and y = – 7 is a straight line parallel to x – axis, 7 units below the origin therefore lines y = 0 and y = – 7 are parallel. ∴ They have no solution.
For what values of k will the pair of equations 3x 4y 12 and KX 12y 30 not have a unique solution?
For what values of ‘k’ will the pair of equations 3x + 4y = 12 and kx + 12y = 30 not have a unique solution? The correct choice is (B) and the correct answer is 9. Thus: to not have a unique solution, lines should be parallel.
For what value of k will the pair of equations 3x 4y 12?
Multiply 3x+4y=12 with 3 and replace 12 y with 30-kx. This gives us x(9-k)-6. Hence, x= 6/(9-k).
How many solutions does pair of equations y 0 and y =- 5 has?
question_answer Answers(2) Hence they do not have solution. Solution: Y= 0 is the equation of x axis and y = -5 is the line which is parallel to x axis. It has no solutions since the given equations are parallel .
How many solutions can Y 0 and Y have?
Accepted Answer: A pair of equations y = 0 and y = -5 has no solution They are parallel.
How many solutions does the pair of equations?
When both equations have the same slope, but not the same y-intercept, they’ll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they’ll intersect for certain, therefore it has exactly one solution.
How do you know if something has infinitely many solutions?
An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
What is the sign for all real numbers?
Vocabulary and notation , the letter “R” in blackboard bold (encoded in Unicode as U+211D ℝ DOUBLE-STRUCK CAPITAL R (HTML ℝ &reals, &Ropf )), to represent the set of all real numbers.
What are the rules of inequalities?
When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.