Question

Solve x+y=5 And 2x-3y=4 using elimination method

Answer 1

x + y = 5 ( equation 1 )
2x - 3y = 4 ( equation 2 )
Now,
multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )
(2x + 2y = 10) - (2x - 3y = 4 )
=> 2x + 2y - 2x + 3y = 6
=> 5y = 6
=> y = 6/5
Putting the value of y in ( eq.1 )
=> x+ y = 5
=> x + 6/5 = 5
=> x = 5 - 6/5
=> x = 19/5

Answer 2

Here is your answer
we have,

x + y = 5. ----->1
2x - 3y = 4. ----->2

by elimination,

2x + 2y = 10
2x. -. 3y =4
__________
-5y = -6
y = 6/5. -------->3

putting eq. no 3 into 1, we get ,

x + y = 5
x + 6/5 = 5

after solving ,

5x + 6 = 25
5x = 19
x = 19/5 -------->4

x = 19/4
y = 6/5

hope it will help you..