SOLUTION: Find the exact decimal value for k where the system of equations has no solution. 5x - 4y = 8, 10x + ky = 11 Help please! Thanks!

Question 52000: Find the exact decimal value for k where the system of equations has no solution.
5x - 4y = 8, 10x + ky = 11
Help please! Thanks!
Answer by rchill(405) (Show Source): You can put this solution on YOUR website!
To have no solution, the lines must be parallel, which means they have the same slope. So first solve both equations for y and you get and . That means that the slope of the first equation is and for the second it's . Because they must be the same slope for parallel lines, k must have a value of -8. To verify that, graph both equations to see if they are indeed parallel.

RELATED QUESTIONS
Determine value of (k) as an exact decimal so that the system has no solution. 5x-4y=8... (answered by stanbon)

find the value of k for which the following system of equations has no solution... (answered by Tatiana_Stebko)

Determine the value of k for which the system of linear equations has no solution. 4x... (answered by ankor@dixie-net.com)

Determine the value of k for which the system of linear equations 2x−y =5 6x+ky=2 (answered by MathLover1)

For what value of K will the following system of equations have no solution? 24x + 9y... (answered by psbhowmick)

determine the value of k for which the system of linear equations has no solution:... (answered by vleith)

Determine the value of k for which the system of linear equations has no solution. 2x -... (answered by Fombitz)

Determine the value of k for which the system of linear equations has no solution. 2x - (answered by shweta)

Determine the value of k for which the system of linear equations 3x + 4y = 12 x +... (answered by ikleyn)