Answer:
x = 1, y = 2
Explanation:
Solve the following system:
{2 y + 3 x = 7 | (equation 1)
4 y - 3 x = 5 | (equation 2)
Add equation 1 to equation 2:
{3 x + 2 y = 7 | (equation 1)
0 x + 6 y = 12 | (equation 2)
Divide equation 2 by 6:
{3 x + 2 y = 7 | (equation 1)
0 x + y = 2 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x + 0 y = 3 | (equation 1)
0 x + y = 2 | (equation 2)
Divide equation 1 by 3:
{x + 0 y = 1 | (equation 1)
0 x + y = 2 | (equation 2)
Collect results:
Answer: {x = 1, y = 2