Solve the following system of equations: x − 2y = 14 x + 3y = 9 a. (1, 12)
b. (−1, −12)
c. (12, −1)
d. (12, 1)

option C ( 12 , -1) .

Step-by-step explanation:

Given : x − 2y = 14  ; x + 3y = 9 .

To find :  Solve the following system of equations:

                  x − 2y = 14      equation (1)

              (-) x +(-) 3y = (-)9        equation (2)

                      - 5y =  5                        ( on subtracting equation (1) and (2) )

On dividing by -5 both side we get,

 y  = -1 .

On substituting y = -1 in equation (1).

x - 2(-1) = 14.

x + 2 = 14.

On subtracting by 2 both side

x = 14-2 = 12

x = 12.

( 12 , -1)

Therefore , option C ( 12 , -1) .