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Degger [83]
3 years ago
6

-2/5x+6=8 can you help me

Mathematics
2 answers:
ale4655 [162]3 years ago
7 0
If you would like to solve the equation - 2/5 * x + 6 = 8, you can do this using the following steps:

- 2/5 * x + 6 = 8
- 2/5 * x = 8 - 6
- 2/5 * x = 2    /*(-5/2)
x = 2 * (- 5/2)
x = - 5

The correct result would be -5.
Doss [256]3 years ago
7 0
- \frac{2}{5} x+6=8
Common denominator is 5
\frac{(-2)x}{5} +6=8

5( \frac{(-2)x}{5} +6)=5*8
Distributhing 5 through parentheses
\frac{ \not5(-2)x}{ \not5} +5*6=5*8
(-2)x+5*6=5*8
(-2)x+30=5*8
-2x+30=40
-2x=40-30
-2x=10   /: -2
x=-5
The answer is: x=-5


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Essentially, what we're looking at here are two alternate interior angles.

Wait. What? Alternate interior angles?

It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.

Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.

Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.

If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:

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And that's our answer! If you need me to explain anything any further, just ask!

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