Answer:
x = -2
, y = -3
Step-by-step explanation:
Solve the following system:
{3 y - 4 x = -1 | (equation 1)
5 y - 4 x = -7 | (equation 2)
Subtract equation 1 from equation 2:
{-(4 x) + 3 y = -1 | (equation 1)
0 x+2 y = -6 | (equation 2)
Divide equation 2 by 2:
{-(4 x) + 3 y = -1 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{-(4 x)+0 y = 8 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by -4:
{x+0 y = -2 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = -2
, y = -3
