2/5(g – 7) = 3 can i please get some help..

Question

2/5(g – 7) = 3
can i please get some help..

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King 3 years 2021-08-25T09:13:37+00:00 2 Answers 4 views 0

Answers ( )

    0
    2021-08-25T09:15:00+00:00

    Answer:

    g=29/2

    Step-by-step explanation:

    2/5(g-7)=3

    Distribute:

    2/5g – 14/5 = 3

            + 14/5  +14/5

    2/5g=29/5 Divide:

    29/5 x 5/2 = 29/2

    g=29/2 – Improper fraction

    As a mixed number it is 14 \frac{1}{2}

    Hope this helps 🙂

    0
    2021-08-25T09:15:21+00:00

    Answer:

    14.500

    Step-by-step explanation:

    Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                        (2)/(5)*(g-7)-(3)=0

    Step by step solution :

    STEP

    1

    :

               2

    Simplify   —

               5

    Equation at the end of step

    1

    :

      2              

     (— • (g – 7)) –  3  = 0

      5              

    STEP

    2

    :

    Equation at the end of step 2

     2 • (g – 7)    

     ——————————— –  3  = 0

          5        

    STEP

    3

    :

    Rewriting the whole as an Equivalent Fraction

    3.1   Subtracting a whole from a fraction

    Rewrite the whole as a fraction using  5  as the denominator :

            3     3 • 5

       3 =  —  =  —————

            1       5  

    Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

    Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

    Adding fractions that have a common denominator :

    3.2       Adding up the two equivalent fractions

    Add the two equivalent fractions which now have a common denominator

    Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

    2 • (g-7) – (3 • 5)     2g – 29

    ———————————————————  =  ———————

             5                 5  

    Equation at the end of step

    3

    :

     2g – 29

     ———————  = 0

        5  

    STEP

    4

    :

    When a fraction equals zero

    4.1    When a fraction equals zero …

    Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

    Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

    Here’s how:

     2g-29

     ————— • 5 = 0 • 5

       5  

    Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

    The equation now takes the shape :

      2g-29  = 0

    Solving a Single Variable Equation:

    4.2      Solve  :    2g-29 = 0

    Add  29  to both sides of the equation :

                         2g = 29

    Divide both sides of the equation by 2:

                        g = 29/2 = 14.500

    One solution was found :

    g = 29/2 = 14.500

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