Answer:
x = 4, y = -1
Explanation:
Solve the following system:
{-2 y + 3 x = 14 | (equation 1)
{3 y + 7 x = 25 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 3 y = 25 | (equation 1)
{3 x - 2 y = 14 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + 3 y = 25 | (equation 1)
{0 x - (23 y)/7 = 23/7 | (equation 2)
Multiply equation 2 by 7/23:
{7 x + 3 y = 25 | (equation 1)
{0 x - y = 1 | (equation 2)
Multiply equation 2 by -1:
{7 x + 3 y = 25 | (equation 1)
{0 x + y = -1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{7 x + 0 y = 28 | (equation 1)
{0 x + y = -1 | (equation 2)
Divide equation 1 by 7:
{x + 0 y = 4 | (equation 1)
{0 x + y = -1 | (equation 2)
Collect results:
Answer: {x = 4, y = -1