Answer with explanation:
1.→→→ 3x-5y=15------(1)
6 x-10 y=30----(2)
Line 2 =2 * Line 1
These two lines are coincident.
Dependent
2.→→→ -2 x+4 y=-6-------(1)
Dividing both sides by , 2 we get
-x+2y= -3-----------------(1)
x+6 y=3------------(2)
These two are distinct lines ,it means they have a common point of intersection.
Consistent, and Independent
3.→→→
x-4y = -12-----------------(1)
3x-12 y= -9--------------(2)
Equation (2)=3 * Equation (1)
These two lines are coincident.
Dependent
4.→→→
3 x+y=3------(1)
6x+2y=-4------(2)
Dividing both sides by ,2 we get
3 x+y= -2
Both lines have distinct y intercepts that is ,3 and -2,but coefficient of x and y are equal. So, they are parallel lines.
Inconsistent
