Answer:
(-6,4)
Step-by-step explanation:
Solve the following system:
{4 y + 5 x = -14 | (equation 1)
2 y + x = 2 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 4 y = -14 | (equation 1)
0 x+(6 y)/5 = 24/5 | (equation 2)
Multiply equation 2 by 5/6:
{5 x + 4 y = -14 | (equation 1)
0 x+y = 4 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{5 x+0 y = -30 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -6 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = -6
, y = 4
