Solve the following system:
{4 P+2 Q = -2 | (equation 1)
4 Q-2 P = 16 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{4 P+2 Q = -2 | (equation 1)
0 P+5 Q = 15 | (equation 2)
Divide equation 1 by 2:
{2 P+Q = -1 | (equation 1)
0 P+5 Q = 15 | (equation 2)
Divide equation 2 by 5:
{2 P+Q = -1 | (equation 1)
0 P+Q = 3 | (equation 2)
Subtract equation 2 from equation 1:
{2 P+0 Q = -4 | (equation 1)
0 P+Q = 3 | (equation 2)
Divide equation 1 by 2:
{P+0 Q = -2 | (equation 1)
0 P+Q = 3 | (equation 2)
Collect results:
Answer: |P = -2 and Q = 3