Question

Solve by the substitution method :3x-(y+7)/(11 )+2 =10 and 3x+3y =65

Answer 1

Answer:

3x - y + 711 + 2 = 10     ---------------- ( 1 )

And

3x + 3y  = 65                  ----------------- ( 2 )

First we simplify equation 1 , As  :

By taking L.C.M. , we get

⇒33x - 11y  + 7 + 22 = 110 

⇒33x - 11y  = 81            ------- ( 3 )

From equation 2 , we get

⇒ y = 653 - x     ( Substitute that value of y  in equation 3 and get 

⇒33x - 11 ( 653 - x  ) = 81

⇒33x  - 7153 + 11x = 81 

⇒44x = 81 + 7153

⇒44x = 9583

⇒x  = 958132

x  = 7.25   Now We , substitute that value of x in equation 2 and get 

⇒3 ( 7.25 ) + 3y = 65 

⇒3y  = 65 - 21.75

⇒3y  = 43.25 

⇒y = 14.416  

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