I need to know how many solutions does the following system have:
4x + 8y = 16
3x + 6y = 9
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression

Question

I need to know how many solutions does the following system have: 
4x + 8y = 16 
3x + 6y = 9 
Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression

hartnn · Answer

is this related to determinants or matrices ?? linear algebra ?

callisto · Answer

1. Check the slope of each equation of line
2. Check the y-int

different slope -> 1 solution
same slope, same y-int -> infinitely many solutions
same slope, different y-int -> no solutions.