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KengaRu [80]
4 years ago
10

How many solutions does 6 —3x = 12 — 6x have?

Mathematics
1 answer:
katovenus [111]4 years ago
8 0

Answer:

1 solution

Step-by-step explanation:

Remark

1 solution

<em><u>Rule</u></em>: the number of solutions to an equation is at most the same number as the highest number on the variable. for example

x^3 + 4x^2 - 6x - 15 has at most 3 real solutions because the highest power is x^3

x^n + x^(n - 1) .... has at most n real solutions. It can have fewer.

Solution

So 6 - 3x= 12 - 6x                       Subtract 6 from both sides

6 - 6 - 3x = 12 - 6 - 6x                 Combine

-3x = 6 - 6x                                 Add 6x to both sides

-3x + 6x = 6                                Combine

3x = 6                                         Divide by 3

x = 6/3 = 2

Check

6 - 3(2) = 12 - 6(2)

0 = 0 which checks

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Step-by-step explanation:

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Answer:

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