Y = - 4x-9

4x-y=1

What's the solution of the system?

x = - 1, y = - 5

Step-by-step explanation:

Solve the following system:

{y = - 4 x - 9 | (equation 1)

4 x - y = 1 | (equation 2)

Express the system in standard form:

{4 x + y = - 9 | (equation 1)

4 x - y = 1 | (equation 2)

Subtract equation 1 from equation 2:

{4 x + y = - 9 | (equation 1)

0 x - 2 y = 10 | (equation 2)

Divide equation 2 by 2:

{4 x + y = - 9 | (equation 1)

0 x - y = 5 | (equation 2)

Multiply equation 2 by - 1:

{4 x + y = - 9 | (equation 1)

0 x+y = - 5 | (equation 2)

Subtract equation 2 from equation 1:

{4 x+0 y = - 4 | (equation 1)

0 x+y = - 5 | (equation 2)

Divide equation 1 by 4:

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

0 x+y = - 5 | (equation 2)

Collect results:

Answer: {x = - 1, y = - 5