Answer:
x = 4, y = -0.5
or (4,-0.5)
Explanation:
Given:
- 3x + 2y = 11. . . (i)
- 6x - 2y = 25. . . . (ii)
Solution:
Adding equations (i) and (ii):
==> (3x + 2y) + (6x - 2y) = 11 + 25
2y gets cancelled:
==> 9x = 36
dividing the equation by 4:
==> x = 4
Substituting 4 for x in equation (i):
==> 3(4) + 2y = 11
==> 12 + 2y = 11
subtracting 12 from both sides:
==> 2y = 11 - 12
==> 2y = -1
dividing both sides by 2:
==> y = -1/2
==> y = -0.5