Answer:
The given system of equations has solutions below:
1) The solution is (2,3)
2) The solution is (
)
3) The solution is infinitely many solutions
4) No solution
Step-by-step explanation:
Given system of equation are


To solve equation by using elimination method
Multiply eqn (2) into 2

Now subtracting (1) and (3)


_________________
7x=14
x=

Substitute x=2 in equation (1)
-2+2y=4
2y=4+2

y=3
Therefore the solution is (2,3)
2) Given equation is

4y-4=x
Rewritting as below

To solve equation by using elimination method
multiply (2) into 2

Adding (1) and (3)
-2x+y=3
2x-8y=-8
________
-7y=-5

substitute
in (1)




Therefore the solution is (
)
3) Given equation is 

equation (1) can be written as
2(3x+y)=10

3x+y=5
Therefore equations (1) and (2) are same therefore it has infinitely many solutions
4) Given equation is 

multiply equation (1) into 2

To solve equation by using elimination method
subtracting (2) and (3)
-2x-4y=28
-2x-4y=12
_______

therefore it has no solution
Answer:
I am not sure, ig it's D...
First of all, we can observe that

So the expression becomes

This means that the expression is defined for every 
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
Answer:

Step-by-step explanation:
Given points are 
And given transformation is

We will start from left to right.
First transformation is reflection about x-axis.
When we reflect about x-axis 
So, ![(-1,-8)=[-1,-(-8)]=(-1,8)](https://tex.z-dn.net/?f=%28-1%2C-8%29%3D%5B-1%2C-%28-8%29%5D%3D%28-1%2C8%29)
Now next transformation is dilation with a factor 4.
If we do dilation with a factor
to the point 
New co-ordinates after dilation became 
So, 
Answer:
m= 4/5
Step-by-step explanation: