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Setler79 [48]
3 years ago
14

Select all of the following expressions that are equivalent to ab - 2 = c

Mathematics
2 answers:
saveliy_v [14]3 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

The given expression is ab - 2 = c

Option a : a = \frac{c}{b} - 2

                 ab = c - 2b

                Not equivalent to the original expression.

Option b : b = c + \frac{2}{a}

                 ab = ac + 2 ⇒  (\frac{ab-2}{a}) = c

                Not equivalent

Option c  : ab = c + 2

                  ab - 2 = c

               Equivalent to original expression

Option d : a - \frac{c}{2} = b

                 2a - c = 2b

                Not equivalent

Option e : b - \frac{2}{c} = a

                 bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = \frac{2}{b-a}

                 Not equivalent

Option f : a = c + \frac{2}{b}

                ab = bc + 2

               (\frac{ab-2}{b} ) = c

              Not equivalent

NISA [10]3 years ago
3 0
The only one that's equivalent is The 3rd one. ab=c+2
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I need answers to this
ololo11 [35]

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

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Now we have the equations:

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4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

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Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

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So we combined the equations and now ended with an equation that is really easy to solve for y.

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Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

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-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

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Answer:

c 6

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