Respuesta :
Answer:
The Equation of line have NO SOLUTION
Step-by-step explanation:
The Given equation of system as,
First line equation :
-3 x + 5 y = -6
Or, 5 y = 3 x - 6
Or, y = [tex]\frac{3}{5} x - \frac{6}{4}[/tex]
So , Slop of this line = m1 = [tex]\frac{3}{5}[/tex]
Again ,second line equation :
6 x - 10 y = 12
Or, 10 y = 6 x - 12
Or, 5 y = 3 x - 6
Or , y = [tex]\frac{3}{5} x - \frac{6}{5}[/tex]
So , Slop of this line = m2 = [tex]\frac{3}{5}[/tex]
∴ Slop of both the lines are equal , i.e m1 = m2 = [tex]\frac{3}{5}[/tex]
I.e both the lines do not intersect,and they are parallel to each other.
Hence, The Equation of line have NO SOLUTION
Answer:
A) infinitely many solutions
Step-by-step explanation:
I'm sorry i don't know how to break down the explanation but i know its right because I got it right on the test. :)