Let the numbers be x and y.
by the first statement of the question, we get , x + y = 30.,,..(1)
by the second satement, we get , x = y+ y => x=2y... (2)
from equation (2), let us put the value of x in equation (1),
x + y = 30
=> 2y + y = 30
=> 3y = 30
=> y =30/3
=> y = 10
and x=2y => x = 2*10 = 20
in short, the numbers are 10 and 20
Answer:
if an equation has the same slope and y intercept the equations will have infinite many solutions. If both equations have the same slope but different y intercept the equations will have no solutions. if both equations are positive or negative and have different slopes and different y intercepts then they will most likely have one solution. (example: y=-2x+3 and y= -4x+4, both slopes are negative so there will be one solution, same goes for if both slopes are positive.
Hope this helps!
A) The inverse of the statement is the opposite. The statement stated that if two lines do not intersect, they are parallel. So, the opposite would be if two lines intercept, they are parallel. This inverse statement is false because, that is not true. Parallel lines mean they never intercept, not if they intercept its parallel.
b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.
c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.
I hope this helps!! Or some at least. :)
Good luck!
