We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.

Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Answer:
Step-by-step explanation:
estimation: 84-73
11
This is pretty simple. So a standard form equation is probably something like this: 2x+8y=10.
We have to get that equation right there into a slope intercept, which is just isolating the variable y.
2x+8y=16
-2x -2x Subtract the x value.
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(8y=16-2x)/8 Divide the whole equation by 8 to isolate the y value.
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y=2-1/4x
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The fraction with the variable x is the slope. In this case, the slope is -1/4, so meaning it goes down one unit and goes right 4.
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The 2 is the y-intercept. (0, 2)
Let c represent the cost and r represent the number of rooms, then
a.) c = 22r
b.) 200 = 22r
r = 200/22 = 9.09 ≈ 9 rooms
c.) 200 - 40 = 22r
r = 160/22 = 7.27 ≈ 7 rooms
Lets say there are x blue marbles.
Purple marbles = 5 + 3x
Blue marbles = x
Total = 65
5 + 3x + x = 65
5 + 4x = 65
4x = 65 - 5 = 60
x = 60/4 = 15
Blue marbles = 15
65 - 15 = 50
There are 50 purple marbles.