What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
1 answer:
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Answer:
The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.
Step-by-step explanation:
Consider the system of linear equations:
The system of linear equations can have zero, one, or an infinite number of solutions:
simplify equation (1):
substitute in equation (2), we get
we cannot find the value of and
.
so, there is no solution.
Multiply the equation (1) with 3 and put k is 6,
it means both equations are overlapped. Then, the solution has infinite solutions.
Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.