3.5 + 2 = 2x - 10
5.5 = 2x -10
+10 +10
—————————
15.5 = 2x
—— ——
2 2
7.75 = x
7.75 is the answer
Answer:
Step-by-step explanation:
The work done changes the potential energy
ΔPE = mgΔh = 450(10)(50) = 225,000 = 225 kJ
power is the rate of doing work
P = 225000/5 = 45000 W = 45 kW
You are solving the two equations for x.
9.
r = 4 + 7x - sx
We need to solve for x. x is only found in the right side. First, just flip the sides to find x only in the left side.
4 + 7x - sx = r
We want all terms with x on the left side, and all terms without x on the right side. Now we subtract 4 from both sides.
7x - sx = r - 4
Factor x in left side.
x(7 - s) = r - 4
Divide both sides by 7 - s.

12.
3z + 8 = 12 + 3x - z
Since x is only in the right side, flip the sides.
12 + 3x - z = 3z + 8
We need to isolate x in the left side, so subtract 12 from both sides and add z to both sides.
3x = 3z + 8 - 12 + z
3x = 4z - 4
Divide both sides by 3.

Check out the image attachment for one way to draw this problem out. Notice how angles AEC and DEB are vertical angles, so that means they are congruent angles
(measure of angle AEC) = (measure of angle DEB)
6x + 20 = 10x
6x + 20-6x = 10x-6x ... subtract 6x from both sides
20 = 4x
4x = 20
4x/4 = 20/4 ... divide both sides by 4
x = 5
The value of x is 5.
Let's check the answer
6x + 20 = 10x
6*5 + 20 = 10*5 ... replace every x with 5
30+20 = 50
50 = 50
We have confirmed the answer.