Question

If 3x+2y=13 and 3x–2y=5 ,then the value of x+y is:
(a) 5 (b) 3 (c) 7 (d) none of these

Answer 1

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

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

(1)+(2)

3x+2y=13

3x-2y=5

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6x=18

x=18/6

x=3

(1)-(2)

3x+2y=13

3x-2y=5

(-). (+). (-)

----------------

4y=8

y=2

•°•x=3& y=2

x+y=3+2=5

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Answer 2

Given:

A pair of equations 3x+2y=13 and 3x–2y=5.

To find:

The value of x+y.

Solution:

To find the value of x + y, first of all, we need to find the value of x and y.

So, according to the question, we have a pair of equations,

$3x \: + \: 2y \: = \: 13 \: \: (i)$

and

$3x \: - \: 2y \: = \: 5 \: \: (ii)$

On subtracting (i) from (ii), we have,

$4y = 8$

$y = \frac{8}{4}$

$y = 2$

Now,

on putting the value of y = 2 in (i), we have,

$3x \: + \: 2(2) \: = \: 13$

$3x \: + 4 \: = 13$

$3x = 13 - 4$

$3x = 9$

$x = \frac{9}{3}$

$x = 3$

So,

$x + y = 3 + 2 = \: 5$

Hence, the value of x + y = 5.

The correct option is- (a) 5.