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laila [671]
3 years ago
9

-(r+4) = -3 Solve each equation. Please explain step by step so i can understand!

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

-\left(r+4\right)=-3

First, Divide both sides by -1,

\frac{-\left(r+4\right)}{-1}=\frac{-3}{-1}

r+4=3

Then Subtract 4 from both sides,

r+4-4=3-4

r=-1

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The product of two positive integers is 176. One number is 5 more than the other. Find the smaller number.
svlad2 [7]

Hello from MrBillDoesMath!

Answer:

11



Discussion:

Let "n" be the smaller number. Then

n * (n+5) = 176.


My first reaction to this problem was to factor 176 in my head. That's  176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:

n(n+5) = 176                 =>

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n =     ( -5 +\- sqrt( 5^2 - 4(1)(-176)) )  /2

 =     ( -5 +\- sqrt( 25 +  704) )/ 2

=     ( -5 +\- sqrt (729) ) /2                            => as sqrt(729) = 27

=      (-5 +\- 27) / 2                                        =>

=      (-5 + 27)/2 or ( -5 -27)/2                      =>

=      22/2  or  -32/2                                     =>

=      11 or  -16


But -16 is not allowed as the question wants a positive value.



Thank you,

MrB

4 0
3 years ago
Read 2 more answers
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Answer:

the equation D ) would cause a consistent-independent system.

Step-by-step explanation:

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    --------------------

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      10 x + 2 y = 14

   ------------------------

       0 x = 0  ( Dependent system )

B ) 5 x + y = 7  / *  3

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    --------------------------

    15 x + 3 y  = 21

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  -------------------------

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C )   5 x + y = 7

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       ---------------------------

       5 x + y = 7

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    ------------------

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D ) 5 x + y = 7  / * ( - 2 )

     6 x + 2 y = 7

     ------------------

      - 10 x - 2 y = - 14

        6 x   + 2 y = 7

      -----------------------

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