How to determine the number of solutions in a linear system without solving: 14x + 3y = 12 and 14x - 3y = 0?
The system of equations have one solution.
The system of equations have one solution because their slopes are not equal. There is a chance for the two lines to cut each other.
If a straight line equation is in the form of
#ax+by=c#Then its slope is defined by #(-a/b)#
The slope of the first line is
The slope of the second line is
Their slopes are different. They will cut each other. Hence they have one solution.