Hello!
You solve this algebraically.
2(x - 3) + 4 = 2x + 3x - 5
Distribute the 2
2x - 6 + 4 = 2x + 3x - 5
Combine like terms
2x - 2 = 5x - 5
Subtract 2x from both sides
-2 = 3x - 5
Add 5 to both sides
3 = 3x
Divide both sides by 3
x = 1
The answer is D)1
Hope this helps!
Part A)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

Part B)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:
Answer:
35
Step-by-step explanation:
So from 7/8 = 35/40, 35 is the answer.
Answer:
Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:
6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)
⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0
Now put x + 1/x = y
⇒ 6y2 -5y -50 = 0
⇒ (2y +5)(3y-10)= 0
⇒ y=-5/2 or 10/3
As x is positive therefore, x + 1/x =10/3
On solving further you will get as x=3 or 1/3