Question

Solve but elimination method x/2+2y/3=-1 and x-y/3=3

Answer 1

Answer:

x = 2 and y = -3.

Step-by-step explanation:

( ELIMINATION )

       

  $\frac{x}{2} + \frac{2y}{3} = 1 ...... (1)$

         $x - \frac{y}{3} = 3 ........ (2)$

from equ. (1) taking LCM = 6

we have,      3x + 4y = -6   ........ (3)

from equ. (2) taking LCM = 3

we have,      3x  -y =  9      ........ (4)

now subtract  (4) from (3)

3x + 4y = -6  

3x - y = 9

—————

 +5y = -15

     y = -3

substitute y = 2 in equation (3)      

  3x + 4y = -6  

  3x + 4(-3) = -6

   3x = -6 + 12

   3x = 6

     x = 6/3 = 2

Hence, solution is x = 2 and y = -3.