SOLUTION: i am confuse how to find the pairs of equation is in dependent or independent and incosistent the ff lines will intersect or coincide this given equation 2x-5y+3=0 4x-10y-5=0

Algebra ->  College  -> Linear Algebra -> SOLUTION: i am confuse how to find the pairs of equation is in dependent or independent and incosistent the ff lines will intersect or coincide this given equation 2x-5y+3=0 4x-10y-5=0       Log On


   



Question 85746: i am confuse how to find the pairs of equation is in dependent or independent and incosistent the ff lines will intersect or coincide this given equation
2x-5y+3=0
4x-10y-5=0 i hope you can help me this problem..thank you so much..

Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
The line 2x - 5y + 3 = 0 has a slope of 2%2F5 and a y-intercept of 3%2F5. The line 4x - 10y - 5 = 0 has a slope of 4%2F10 which is = to 2%2F5 and a y-intercept of -5%2F10 = -1%2F2. Since the slopes are the same and the intercepts are different, the lines are parallel, the system is inconsistent and has no solution.