Answer:
x = -8
, y = -2
Step-by-step explanation:
Solve the following system:
{3 x - 4 y = -16 | (equation 1)
2 x - 4 y = -8 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{3 x - 4 y = -16 | (equation 1)
0 x - (4 y)/3 = 8/3 | (equation 2)
Multiply equation 2 by 3/4:
{3 x - 4 y = -16 | (equation 1)
0 x - y = 2 | (equation 2)
Multiply equation 2 by -1:
{3 x - 4 y = -16 | (equation 1)
0 x+y = -2 | (equation 2)
Add 4 × (equation 2) to equation 1:
{3 x+0 y = -24 | (equation 1)
0 x+y = -2 | (equation 2)
Divide equation 1 by 3:
{x+0 y = -8 | (equation 1)
0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = -8
, y = -2
