Question

If 3x+4y=-10 ; 4x+3y=3, then find the value of x+y.
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Answer 1

Answer:

3x+4y=-10......(1)

4x+3y=3.....(2)

adding 1 and 2

7x+7y=-7

x+y=-1

Answer 2

If 3x + 4y = - 10 ; 4x + 3y = 3 then value of x + y = - 1

Given :

The equations 3x + 4y = - 10 ; 4x + 3y = 3

To find :

The value of x + y

Solution :

Step 1 of 2 :

Write down the given equations

Here the given system of equations are

3x + 4y = - 10 - - - - - (1)

4x + 3y = 3 - - - - - - (2)

Step 2 of 2 :

Find the value of x + y

Adding Equation 1 and Equation 2 we get

3x + 4y + 4x + 3y = - 10 + 3

⇒ 7x + 7y = - 7

⇒ 7( x + y ) = - 7

⇒ x + y = - 1

Hence the required value of x + y = - 1

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