Answer:
{x = 3
, y = -3 thus the answer is A
Step-by-step explanation:
Solve the following system:
{5 x + 2 y = 9 | (equation 1)
{2 x - 3 y = 15 | (equation 2)
Subtract 2/5 × (equation 1) from equation 2:
{5 x + 2 y = 9 | (equation 1)
{0 x - (19 y)/5 = 57/5 | (equation 2)
Multiply equation 2 by 5/19:
{5 x + 2 y = 9 | (equation 1)
{0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{5 x + 2 y = 9 | (equation 1)
{0 x+y = -3 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{5 x+0 y = 15 | (equation 1)
{0 x+y = -3 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 3 | (equation 1)
{0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 3
, y = -3
