Answer:
x = 3
, y = 6
Step-by-step explanation:
Solve the following system:
{5 x - 2 y = 3 | (equation 1)
{4 y - 5 x = 9 | (equation 2)
Add equation 1 to equation 2:
{5 x - 2 y = 3 | (equation 1)
{0 x+2 y = 12 | (equation 2)
Divide equation 2 by 2:
{5 x - 2 y = 3 | (equation 1)
{0 x+y = 6 | (equation 2)
Add 2 × (equation 2) to equation 1:
{5 x+0 y = 15 | (equation 1)
{0 x+y = 6 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 3 | (equation 1)
{0 x+y = 6 | (equation 2)
Collect results:
Answer: {x = 3
, y = 6
