Answer:
Step-by-step explanation:
The two equations are
......(1)
2y = 
......(2)
Equation (2) can be written as:
y = 
Now these two equations represent a pair of parallel lines.
The equations of any two parallel line differ only by a constant.
Since, these are equations of parallel lines, they don't intersect. If they don't intersect they cannot have solutions.
⇒ The given system of equations has zero solutions.
Answer:
19.80
Step-by-step explanation:
Answer:
(-2, -4.5)
Step-by-step explanation:
We can solve this equation with substitution.
x=2y+7
3x-2y=3
We can "substitute" 2y+7 for x into the second equation:
3(2y+7)-2y=3
Distribute the 3
6y+21-2y=3
Add like terms
4y+21=3
Subtract 21 from both sides
4y=-18
Divide both sides by 4 to isolate y
y=-4.5
Plug -4.5 back in for y:
x=2(-4.5)+7
x=-9+7
x=-2
(x,y)=(-2,-4.5)
Answer:
Step-by-step explanation:
We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is 
, we can solve for 
.
(Angle sum of pentagon is )
(collect like-terms)
Hope this helps :)
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
