Question 1156320

 Solve the system of equations using the elimination/addition method and state the appropriate solution.

x+(1/3y)=(5/12)

8x + 3y = 4
<pre>   {{{matrix(1,3, x + (1/3)y, "=", 5/12)}}} ---- eq (i)
   8x + 3y = 4 -------- eq (ii)
  24x + 8y = 10 ------- Multiplying eq (i) by 24 ------- eq (iii)
- 24x - 9y = - 12 ----- Multiplying eq (ii) by - 3 ------- eq (iv)
- y = - 2
{{{highlight_green(matrix(1,5, y, "=", (- 2)/(- 1), "=", 2))}}}
8x + 3(2) = 4 ------ Substituting 2 for y in eq (ii)
8x + 6 = 4
8x = 4 - 6
8x = - 2
{{{highlight_green(matrix(1,5, x, "=", (- 2)/8, "=", - 1/4))}}}