Question

1) if 8x+7y=37 and 7x+8y=38, then find the value of x+y​

Answer 1

x+y=12515257

Explanation:

Answer 2

If 8x + 7y = 37 , 7x + 8y = 38 then the value of x + y = 5

Given :

8x + 7y = 37 , 7x + 8y = 38

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

8x + 7y = 37 - - - - - (1)

7x + 8y = 38 - - - - - (2)

Step 2 of 2 :

Find the value of x + y

Adding Equation 1 and Equation 2 we get

8x + 7y + 7x + 8y = 37 + 38

⇒ 8x + 7x + 7y + 8y = 75

⇒ 15x + 15y = 75

⇒ 15( x + y ) = 75

⇒ x + y = 75/15

⇒ x + y = 5

The value of x + y = 5

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