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timurjin [86]
3 years ago
8

Find the value of x.

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0
Since both sides are the same, you'd set the two expressions equal to one another. 

3x - 5 = 2x + 1
x - 5 = 1
x = 6

So, the value of x is 6.
kondaur [170]3 years ago
3 0
The triangles are congruent by SAS.
The sides measuring 3x - 5 and 2x + 1 are congruent by CPCTC.

3x - 5 = 2x + 1

3x = 2x + 6

x = 6
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BRAINIEST IF ANSWERED CORRECTLY
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An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

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An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

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To verify the solution, we plug it back into the original equation

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We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

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An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

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3 years ago
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Step-by-step explanation:

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8 0
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