Answer:
B) 0,-2 (x = 0
, y = -2)
Step-by-step explanation by elimination:
Solve the following system:
{2 x + 6 y = -12 | (equation 1)
{5 x - 5 y = 10 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 5 y = 10 | (equation 1)
{2 x + 6 y = -12 | (equation 2)
Subtract 2/5 × (equation 1) from equation 2:
{5 x - 5 y = 10 | (equation 1)
{0 x+8 y = -16 | (equation 2)
Divide equation 1 by 5:
{x - y = 2 | (equation 1)
{0 x+8 y = -16 | (equation 2)
Divide equation 2 by 8:
{x - y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Add equation 2 to equation 1:
{x+0 y = 0 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 0
, y = -2
