Answer:<em>Exactly one solution.</em>
Step-by-step explanation:
- 32 +9 – 2x = -12 – 5x
1.Add numbers
-23 - 2x= -12-5x
2.Rearrange terms
-2x - 23 = -12 - 5x
3. Rearrange terms
-2x - 23 = -5x-12
4. Add 23 to both sides of the equation
-2x-23+23= -5x-12+23
5.Simplify
-2x= -5x+11
6.Add 5x to both sides of the equation
-2x+5x=-5x+11+5x
7.Simplify
3x=11
8.Divide both sides of the equation by the same factor
= 
9.Simplify and Solution
x= 
Step-by-step explanation:
a) D=(-1,5) E=(-3,1)
b) you do it by adding B coordinates with each other and C coordinates with each other then comparing how its related to D coordinates and E coordinates. B=2+6=8
C= -2-2= -4 D= -1+5= -4 E=-3+1= -2.
or tou can try another method which is knowing the length of each line.
The midpoints of the sides are:
M ( (2a+0)/2 , (2b+0)/2 ) = ( a , b )
N ( (-2a+0)/2 , (2b+0)/2 ) = ( - a, b )
P ( (-2a+0)/2, ( -2b+0)/2 ) = ( - a, - b )
Q ( (2 a+0)/2) , (-2b+0)/2 ) = ( a , - b )
The midpoints of a rhombus determine a rectangle.
You just have to add one eqaution to another :
-x + x -y + 2y = 7 + 7
y = 14
Then apply y = 14 to one of the equations :
eg: x + 2(14) = 7
x + 28 = 7
x = - 21
The awnser is x= -21 y= 14
I hope i awnsered your question