Solve the system of equations.

3x + 4y = - 23

2 = 3y + 1

y =

x =

x = - 73/9, y = 1/3

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = - 23 | (equation 1)

2 = 3 y + 1 | (equation 2)

Express the system in standard form:

{3 x + 4 y = - 23 | (equation 1)

0 x - 3 y = - 1 | (equation 2)

Multiply equation 2 by - 1:

{3 x + 4 y = - 23 | (equation 1)

0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:

{3 x + 4 y = - 23 | (equation 1)

0 x+y = 1/3 | (equation 2)

Subtract 4 * (equation 2) from equation 1:

{3 x+0 y = (-73) / 3 | (equation 1)

0 x+y = 1/3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = (-73) / 9 | (equation 1)

0 x+y = 1/3 | (equation 2)

Collect results:

Answer: {x = - 73/9, y = 1/3