Question

5x+4y=9 and 4x+5y=18 then find x+y​

Answer 1

5x+4y=9 and 4x+5y=18 then

5x+4y+4x+5y=18 +9

9x+9y=27

x+y=27 -9-9

x+y= 27-18

x+y=9

Answer 2

If 5x + 4y = 9 , 4x + 5y = 18 then x + y = 3

Given :

The equations 5x + 4y = 9 , 4x + 5y = 18

To find :

The value of x + y

Solution :

Step 1 of 2 :

Write down the given equations

The given system of equations are

5x + 4y = 9 - - - - - - (1)

4x + 5y = 18 - - - - - - (2)

Step 2 of 2 :

Find the value of x + y

5x + 4y = 9 - - - - - - (1)

4x + 5y = 18 - - - - - - (2)

Adding Equation 1 and Equation 2 we get

9x + 9y = 27

⇒ 9( x + y ) = 27

⇒ x + y = 27/9

⇒ x + y = 3

The value of x + y = 3

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