Answer:
{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
