Use in the elimination mentioned for this problem

6x+5y=11

x+y = 6

{x = - 19, y = 25

Step-by-step explanation: System solved by elimination

Solve the following system:

{6 x + 5 y = 11 | (equation 1)

{x + y = 6 | (equation 2)

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

{6 x + 5 y = 11 | (equation 1)

{0 x+y/6 = 25/6 | (equation 2)

Multiply equation 2 by 6:

{6 x + 5 y = 11 | (equation 1)

{0 x+y = 25 | (equation 2)

Subtract 5 * (equation 2) from equation 1:

{6 x+0 y = - 114 | (equation 1)

{0 x+y = 25 | (equation 2)

Divide equation 1 by 6:

{x+0 y = - 19 | (equation 1)

{0 x+y = 25 | (equation 2)

Collect results:

Answer: {x = - 19, y = 25