Question

If 3x + 2y = 13 and 3x - 2y = 5 than find the value of x + y ?​

Answer 1

Answer:

3x+2y=13. eq.1

3x-2y=5. EQ.2

subtract EQ 2 from EQ 1

3x+2y=13

3x-2y= 5

-. +. -

0+4y= 8

y =8/4

y=2

put the value of y in EQ 1

3x+2(2)=13

3x+4=13

3x=13-4

3x=9

x=9/3

x=3

hence x=3 and y=2

Answer 2

The value of x + y = 5

Given :

The equations : 3x + 2y = 13 & 3x - 2y = 5

To find :

The value of x + y

Solution :

Step 1 of 4 :

Write down the given equations

The given equations are

3x + 2y = 13 - - - - - (1)

3x - 2y = 5 - - - - - - (2)

Step 2 of 4 :

Find the value of x

Adding Equation 1 and Equation 2 we get

6x = 18

$\displaystyle \sf{ \implies x = \frac{18}{6} }$

$\displaystyle \sf{ \implies x = 3}$

Step 3 of 4 :

Find the value of y

Putting x = 3 in Equation 1 we get

( 3 × 3 ) + 2y = 13

⇒ 9 + 2y = 13

⇒ 2y = 4

⇒ y = 2

Step 4 of 4 :

Find the value of x + y

Thus the required value of x + y

= 3 + 2

= 5

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