Answer:
x = -7
, y = 5 thus D)
Step-by-step explanation:
Solve the following system:
{4 x - 4 y = -48 | (equation 1)
5 x - 6 y = -65 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 6 y = -65 | (equation 1)
4 x - 4 y = -48 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x - 6 y = -65 | (equation 1)
0 x+(4 y)/5 = 4 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 6 y = -65 | (equation 1)
0 x+y = 5 | (equation 2)
Add 6 × (equation 2) to equation 1:
{5 x+0 y = -35 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -7
, y = 5
