Is this the correct answer? - Calculating the ordered pair solution.?

x in terms of y—1st equation:

3x + 4y = 6

x = (6 - 4y)/3

Value of y:

3(3y - 11) = 6 - 4y

9y - 33 = 6 - 4y

13y = 39

y = 3

Value of x (1st equation):

= (6 - 4[3])/3

= (6 - 12)/3

= - 6/3 or - 2

Answer: x = - 2, y = 3

Proof (2nd equation):

- 3(3) + (- 2) + 11 = 0

- 9 - 2 + 11 = 0

0 = 0

Rechecking (1st equation):

3(- 2) + 4(3) = 6

- 6 + 12 = 6

6 = 6

3x + 4y = 6 ---- (1)

x - 3y = -11 ---- (2)

multiply = > (2) x3

3x - 9y = -33 ---(3)

(1) - (3)

That will give you y = 3, then x = -2

3x + 4y = 6 --eq(1)

-3y + x + 11 = 0 --eq(2)

x - 3y = -11 --eq(2)

(2) X 3;

3x - 9y = -33 --eq(3)

(1) - (3);

13y = 39

y = 39 / 13 = 3

Using (1);

3x + 4 = 6

3x = 2

x = 2/3

-Rohn