How to determine the number of solutions in a linear system without solving: 14x + 3y = 12 and 14x - 3y = 0?
1 Answer
Nov 29, 2015
The system of equations have one solution.
Explanation:
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)#
#14x+3y=12# --------------------(1)
The slope of the first line is#= (-14)/3#
#14x-3y=0#
The slope of the second line is#=(-14)/(-3)=14/3#
Their slopes are different. They will cut each other. Hence they have one solution.
