Question

2x+3y=11and2x_4y=_24​

Answer 1

value of x =2

and value of Y=7

Answer 2

Answer: x = -2 ; y = 5

Step-by-step explanation:

Given

2x + 3y = 11 ...............i)

2x - 4y  = -24  ..........ii)

Solving  this  equation by,

Elimination method:- Subtracting i) from ii)

(2x - 4y) - (2x + 3y) = -24 - (11)

2x - 4y - 2x -3y = -24 - 11

-7y  = -35

y = 5

Putting y = 5 in euqation i)

2x + 3*(5) = 11

2x + 15 = 11

2x = 11 - 15

2x = -4

x = -2

Substitution method:- Finding  the  value of x from eq. ii)

2x = -24 + 4y

2x = 4y - 24

x = 2y - 12  ........iii)

Putting  this  value  of  x  in eq i)

2(2y-12)  + 3y = 11

4y - 24 + 3y = 11

7y = 11 +24

7y = 35

y = 5

Putting  y = 5 in eq iii)

x = 2*5 - 12

x = 10 -12

x = -2