How do you determine whether a linear system has one solution, many solutions, or no solution when given 3x+7y= -1 and 2x +3y= 6?
1 Answer
Oct 14, 2015
The system would have one solution.
Explanation:
If two given lines are parallel, there is no solution to the system. To find out, if they are parallel or not, check the slopes of two lines. If they are not same, then lines are not parallel, The lines are bound to intersect at some point, Hence there would be solution.
I the given system of equations the slopes are different, Hence there would be one solution in this case.
