Answer:
x = 1/5 , y = 1/5
Step-by-step explanation:
Solve the following system:
{2 x + 3 y = 1 | (equation 1)
-3 x - 2 y = -1 | (equation 2)
Swap equation 1 with equation 2:
{-(3 x) - 2 y = -1 | (equation 1)
2 x + 3 y = 1 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{-(3 x) - 2 y = -1 | (equation 1)
0 x+(5 y)/3 = 1/3 | (equation 2)
Multiply equation 1 by -1:
{3 x + 2 y = 1 | (equation 1)
0 x+(5 y)/3 = 1/3 | (equation 2)
Multiply equation 2 by 3:
{3 x + 2 y = 1 | (equation 1)
0 x+5 y = 1 | (equation 2)
Divide equation 2 by 5:
{3 x + 2 y = 1 | (equation 1)
0 x+y = 1/5 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 3/5 | (equation 1)
0 x+y = 1/5 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 1/5 | (equation 1)
0 x+y = 1/5 | (equation 2)
Collect results:
Answer: {x = 1/5 , y = 1/5
