15.1 Determining number of solutions to linear equations
Determining number of solutions to linear equations
Depending on whether and how the linear equations in a system touch each other, there will be different number of solutions to the system. There can be one solution, no solution and even infinite solution.
Lessons
Notes:
One Solution: Two linear equations intersect at one point. It is a consistent system of independent equation.
No Solution:Two linear equations are parallel to each other. It is an inconsistent system.
Infinite Solution:

a)
3x + y = 7
4x + y = 7 
b)
6x + 2y = 10
3x + y = 5 
c)
x  y = 3
3x  3y = 6


a)
one solution

b)
no solutions
