Answer:
(-2, -4.5)
Step-by-step explanation:
Step-by-step explanation:
Hey there!
The equation is;
![3x + 2 = 2x - 5](https://tex.z-dn.net/?f=3x%20%2B%202%20%3D%202x%20-%205)
Shifting "2x" to left side and "2" to right side.
![3x - 2x = - 5 - 2](https://tex.z-dn.net/?f=3x%20-%202x%20%3D%20%20-%205%20-%202)
Simplify them to get answer.
![x = - 7](https://tex.z-dn.net/?f=x%20%3D%20%20-%207)
Therefore the value of x is -7.
<u>Check</u><u>;</u>
3 × -7 + 2 = 2 × -7 -5
-19 = -19 ( True ).
So, your answer is option B.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Since no diagram is given I can't tell. But, as you know that when triangles are similar then:
AB/PQ= BC/QR= AC/PR
Hence, you can easily find out PQ.
Given values of EB and ED are
![EB = 4y-12, ED= y+17](https://tex.z-dn.net/?f=%20EB%20%3D%204y-12%2C%20ED%3D%20y%2B17%20)
And from the diagram, we can say that D is the midpoint of EB.
THerefore
![2ED = EB](https://tex.z-dn.net/?f=%202ED%20%3D%20EB%20)
Substituting the values of EB and ED, we will get
![2(y+17) = 4y-12 \\ 2y + 34 = 4y -12 \\ 34+12 = 4y-2y \\ 2y=46 \\ y=23](https://tex.z-dn.net/?f=%202%28y%2B17%29%20%3D%204y-12%20%5C%5C%202y%20%2B%2034%20%3D%204y%20-12%20%5C%5C%2034%2B12%20%3D%204y-2y%20%5C%5C%202y%3D46%20%5C%5C%20y%3D23%20)
Therefore,
![ED = y+17 = 23+17 = 40 \\ DB= ED =40 \\ EB= 2 ED = 2*40 =80](https://tex.z-dn.net/?f=%20ED%20%3D%20y%2B17%20%3D%2023%2B17%20%3D%2040%20%5C%5C%20DB%3D%20ED%20%3D40%20%5C%5C%20EB%3D%202%20ED%20%3D%202%2A40%20%3D80%20)