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:

{x = -1 , y = -5

answer: 88

step-by-step explanation: