So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where
is the the number of apples,
is the number of pears and
is the number of oranges:
1) 
2) 
3) 
- You must substitute the equation 3) into the equation 2):

- Now, you need to solve for
in the equation 1) and then you must substitute it into
:


- Solve for
, as following:

- Therefore, there are 152 apples.
Answer:
b = -1
Step-by-step explanation:
use distributive property to multiply the -2 with the numbers in the parentheses
3 - 2b + 4 = 2 - 7b
7 - 2b = 2 - 7b
add 2b to both sides
7 = 2- 5b
subtract 2 from both sides
5 = -5b
divide by -5
b = -1
Answers:
Horizontal Line: y = 5
Vertical Line: x = 8
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Explanation:
All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.
Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).