freefireaniacs89
Answered

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(x-5)(3x-8)=(4-3x)(6-x)+13​

Sagot :

devishri1977

Answer:

x = 3

Step-by-step explanation:

Use FOIL method

(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)

                     = 3x² - 8x - 15x + 40        {Combine like terms}

                     = 3x² - 23x + 40

(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)

                      = 24  - 4x - 18x + 3x²         {Combine like terms}

                     = 3x² - 22x + 24  

(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13

3x² - 23x + 40 = 3x² -22x + 24  + 13

3x² - 23x  + 40 - 3x²  + 22x  - 24 - 13 = 0

3x² - 3x² - 23x + 22x  + 40 - 24 - 13 = 0   {Combine like terms}

0   - x  = 0

 -x +3= 0

         3 = x

x =3

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