Question

find the value of x + Y for given equation 9 X + 11 Y = 78; 11X + 9Y =82

Answer 1

here is the answer for your question

Answer 2

The value of X + Y = 8

Correct question : find the value of X + Y for given equation 9X + 11Y = 78 ; 11X + 9Y = 82

Given :

The equations 9X + 11Y = 78 , 11X + 9Y = 82

To find :

The value of X + Y

Solution :

Step 1 of 2 :

Write down the given system of equations

The given system of equations are

9X + 11Y = 78 - - - - - (1)

11X + 9Y = 82 - - - - - (2)

Step 2 of 2 :

Find the value of X + Y

Adding Equation 1 and Equation 2 we get

9X + 11Y + 11X + 9Y = 78 + 82

⇒ 9X + 11X + 11Y + 9Y = 160

⇒ 20X + 20Y = 160

⇒ 20( X + Y) = 160

⇒ X + Y = 160/20

⇒ X + Y = 8

The value of X + Y = 8

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