# SOLUTION: Determine value of (k) as an exact decimal so that the system has no solution. 5x-4y=8 6x+ky=11

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 Click here to see ALL problems on Matrices-and-determiminant Question 98073: Determine value of (k) as an exact decimal so that the system has no solution. 5x-4y=8 6x+ky=11Answer by stanbon(57320)   (Show Source): You can put this solution on YOUR website!Determine value of (k) as an exact decimal so that the system has no solution. 5x-4y=8 6x+ky=11 -------------- The slope of the 1st equation is (5/4) The slope of the 2nd equation is (-6/k) ---------------- To have no solution the slopes must te equal: -6/k = 5/4 5k = -24 k = -24/5 --------------- If k=-24/5 the system will have no solution. =============== cheers, Stan H.