What is the solution to the system of equations?

6x+2y = 6

7x+3y=5

(-3, 2)

(-1,6)

(2, - 3)

(6, - 1)

x = 2, y = - 3

Step-by-step explanation:

Solve the following system:

{6 x + 2 y = 6 | (equation 1)

7 x + 3 y = 5 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 3 y = 5 | (equation 1)

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

Subtract 6/7 * (equation 1) from equation 2:

{7 x + 3 y = 5 | (equation 1)

0 x - (4 y) / 7 = 12/7 | (equation 2)

Multiply equation 2 by 7/4:

{7 x + 3 y = 5 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by - 1:

{7 x + 3 y = 5 | (equation 1)

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

Subtract 3 * (equation 2) from equation 1:

{7 x+0 y = 14 | (equation 1)

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

Divide equation 1 by 7:

{x+0 y = 2 | (equation 1)

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

Collect results:

Answer: {x = 2, y = - 3

Answer: C