Shoe me the answer to this problem x=y+1 4x-5y=-9

Solve the following system:

{x = y + 1 | (equation 1)

{4 x - 5 y = - 9 | (equation 2)

Express the system in standard form:

{x - y = 1 | (equation 1)

{4 x - 5 y = - 9 | (equation 2)

Swap equation 1 with equation 2:

{4 x - 5 y = - 9 | (equation 1)

{x - y = 1 | (equation 2)

Subtract 1/4 * (equation 1) from equation 2:

{4 x - 5 y = - 9 | (equation 1)

{0 x+y/4 = 13/4 | (equation 2)

Multiply equation 2 by 4:

{4 x - 5 y = - 9 | (equation 1)

{0 x+y = 13 | (equation 2)

Add 5 * (equation 2) to equation 1:

{4 x+0 y = 56 | (equation 1)

{0 x+y = 13 | (equation 2)

Divide equation 1 by 4:

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

{0 x+y = 13 | (equation 2)

Collect results:

Answer: {x = 14

{y = 13