Answer:
x = 8
, y = -5
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
3 x + 2 y = 14 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 2 y = 14 | (equation 1)
x + y = 3 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 14 | (equation 1)
0 x+y/3 = -5/3 | (equation 2)
Multiply equation 2 by 3:
{3 x + 2 y = 14 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 24 | (equation 1)
0 x+y = -5 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 8 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = 8
, y = -5
