Question

By elimination method
x+y = 5
2x-3y = 4 ​

Answer 1

hello mate,

$equation \: 1 \: \: \: \: x + y = 5$

$equation \: 2 \: \: \: \: 2x - 3y = 4$

multiple equation 1 to 3

soo.

$3(x + y = 5) \\ 3x + 3y = 15 \: \: equation \: 3$

now add equation 2 and 3

$2x - 3y + 3x + 3y = 15 + 4 \\ 5x = 19 \\ x = \frac{19}{5}$

fill the value of x in equation 1

soo

$x + y = 5 \\ \frac{19}{5} + y = 5 \\ y = 5 - \frac{19}{5} \\ y = \frac{25 - 19}{5} \\ y = \frac{6}{5}$

now

our answer is

$x = \frac{19}{5}$

$y = \frac{6}{5}$

hope it will help you