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alexira [117]
3 years ago
11

Use the guess-and-check method to solve this equation. 2x + 8 = 6x - 12 A. x = 6 B. x = 4 C. x = 3 D. x = 5

Mathematics
2 answers:
iragen [17]3 years ago
5 0
Hi!

The guess and check method is where we fill in the values and check to see if it is correct. 

A. x = 6
2 · 6 + 8 = 6 · 6 - 12
Solve
12 + 8 = 36 - 12
20 = 24
Incorrect.

B. x = 4
2 · 4 + 8 = 6 · 4 - 12
Solve
8 + 8 = 24 - 12
16 = 12
Incorrect.

C. x = 3
2 · 3 + 8 = 6 · 3 - 12
Solve.
6 + 8 = 18 - 12
14 = 6
Incorrect.

D. x = 5
2 · 5 + 8 = 6 · 5 - 12
Solve.
10 + 8 = 30 - 12
18 = 18
Correct!

The answer is D. x = 5

Hope this helps! :)
-Peredhel
stiks02 [169]3 years ago
4 0
Okay, hopefully this will help. Ask questions if you have any!

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5.5 = -2 + d
TEA [102]
The value of <em>d</em> is 7.5.

The key to solving equations is doing the inverse, or opposite, function/process.
For example, you subtract when d + 1 = 2:
d + 1 = 2
(d + 1) -1 = (2) - 1
d = 1

In the same way, you add values when you have a negative:
5.5 = -2 + d = d - 2
5.5 = d - 2
(5.5) + 2 = (d - 2) + 2
7.5 = d

Now if instead of adding 2, you subtract 2, the problem becomes:
5.5 = d - 2
(5.5) - 2 = (d - 2) - 2
3.5 = d - 4

This doesn't solve your problem, it just makes the value needed to be canceled out larger.

Thus d = 7.5 and you will add because the value is negative.
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