Question

The solution of the system of equations-x + y = 5 and 2x - 3y = 4 is​

Answer 1

Answer:

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

hope it helps

tq./

Step-by-step explanation:

Answer 2

Answer:

$- x + y = 5 \\ y = 5 + x....... (1) \\ 2x - 3y = 4.......(2) \\ substitude \: (1) \: in \: (2) \\ 2x - 3y = 4 \\ 2x - 3(5 + x) = 4 \\ 2x - 15 - 3x = 4 \\ - x = 4 + 15 \\ x = - 19 \\ substitute \: the \: value \: of \: x \: in \: (1) \\ y = 5 + x \\ y = 5 + ( - 19) \\ y = 5 - 19 \\ y = - 14$

therefore the solution is (-19,-14)