Question

if 3x+2y=13and3x-2y=5then find the value of x+y​

Answer 1

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

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

On adding eq (i) and (ii)

$↦ \: 3x + 2y + 3x - 2y = 13 + 5$

$↦ 6x = 18$

$↦ \fbox{x = 3}$

$\therefore \: 3x + 2y = 13$

$↦3 \times 3 + 2y = 13$

$↦2y = 13 - 9$

$↦2y = 4$

$↦ \fbox {y = 2}$

$\therefore \: x + y$

$↦3 + 2$

$↦ \fbox{5}$

Hence, x + y = 5

Answer 2

Answer:

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

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

Sum of 1 and 2

3x+2y+3x-2y = 13+5

6x = 18

x=3

From Eq 1

3(3)+2y=13

9+2y=13

y=4/2

y=2

=x+y

=3+2

=5

Hope it helps you