Answer:
x = -3/17 , y = 4/17
Explanation:
Solve the following system:
{3 x - 2 y = -1 | (equation 1)
{7 x + y = -1 | (equation 2)
Swap equation 1 with equation 2:
{7 x + y = -1 | (equation 1)
{3 x - 2 y = -1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + y = -1 | (equation 1)
{0 x - (17 y)/7 = -4/7 | (equation 2)
Multiply equation 2 by -7:
{7 x + y = -1 | (equation 1)
{0 x+17 y = 4 | (equation 2)
Divide equation 2 by 17:
{7 x + y = -1 | (equation 1)
{0 x+y = 4/17 | (equation 2)
Subtract equation 2 from equation 1:
{7 x+0 y = -21/17 | (equation 1)
{0 x+y = 4/17 | (equation 2)
Divide equation 1 by 7:
{x+0 y = -3/17 | (equation 1)
{0 x+y = 4/17 | (equation 2)
Collect results:
Answer: {x = -3/17 , y = 4/17