12x - 2y = - 1

+ 4x + 6y = - 4

x = - 7/40, y = - 11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = - 1 | (equation 1)

4 x + 6 y = - 4 | (equation 2)

Subtract 1/3 * (equation 1) from equation 2:

{12 x - 2 y = - 1 | (equation 1)

0 x + (20 y) / 3 = (-11) / 3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = - 1 | (equation 1)

0 x+20 y = - 11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = - 1 | (equation 1)

0 x+y = (-11) / 20 | (equation 2)

Add 2 * (equation 2) to equation 1:

{12 x+0 y = (-21) / 10 | (equation 1)

0 x+y = - 11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7) / 40 | (equation 1)

0 x+y = - 11/20 | (equation 2)

Collect results:

Answer: {x = - 7/40, y = - 11/20