Answer:
x = -4
, y = -3
Step-by-step explanation:
Solve the following system:
{3 x - 5 y = 3 | (equation 1)
9 x - 8 y = -12 | (equation 2)
Swap equation 1 with equation 2:
{9 x - 8 y = -12 | (equation 1)
3 x - 5 y = 3 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{9 x - 8 y = -12 | (equation 1)
0 x - (7 y)/3 = 7 | (equation 2)
Multiply equation 2 by 3/7:
{9 x - 8 y = -12 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{9 x - 8 y = -12 | (equation 1)
0 x+y = -3 | (equation 2)
Add 8 × (equation 2) to equation 1:
{9 x+0 y = -36 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 9:
{x+0 y = -4 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = -4
, y = -3
