SOLUTION: Find the value of k such that the system of linear equations is inconsistent. 6x + 2y = 8 −9x + ky = −11

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the value of k such that the system of linear equations is inconsistent. 6x + 2y = 8 −9x + ky = −11       Log On


   

Question 976838: Find the value of k such that the system of linear equations is inconsistent.

6x + 2y = 8
−9x + ky = −11
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6x+%2B+2y+=+8.....simplify, divide by 2
-9x+%2B+ky+=+-11
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Inconsistent means that the two lines are parallel.
3x+%2B+y+=+4
-9x%2Bky=-11
The ratio of x and y coefficients must be identical,
3%2F1=-9%2Fk
3k=-9
highlight%28k=-3%29
3x+%2B+y+=+4
-9x-3y=-11
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-3x%2B4%2C-3x%2B11%2F3%29