Question

Equatinal by elimination melha8n-3y = 18 and5x+6y=27​

Answer 1

Answer:

x = 3 and y= 2

Explanation:

Given equations:

           8x - 3y  = 18  - ---- (I)

           5x + 6y = 27 -------(II)

Solve this problem by elimination;

  In the elimination method, we simply find a common term that can make one of the variables in the two equation the same. Then we either add or subtract to remove the variable.

 Mulitply equation (i) by 5 to give equation III

 Mulitply equation (II) by 8 to give equation IV

     5(8x - 3y) = 5(18) ------- III

     8(5x + 6y) = 8(27) ------- IV

   40x - 15y = 90------- III

   40x + 48y = 216  ------- IV

Subtract  equation III and IV;

        -15y - 48y = 90 - 216

         - 63y = -126

                y = 2

Solve for x;

      40x - 15y = 90;

       40x - 15(2) = 90

         40x - 30 = 90

           40x = 90 + 30

              40x = 120

                 x = 3