Answer:
Solve the following system:
{5 x + 10 y = 15 | (equation 1)
10 x + 3 y = 13 | (equation 2)
Swap equation 1 with equation 2:
{10 x + 3 y = 13 | (equation 1)
5 x + 10 y = 15 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{10 x + 3 y = 13 | (equation 1)
0 x+(17 y)/2 = 17/2 | (equation 2)
Multiply equation 2 by 2/17:
{10 x + 3 y = 13 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{10 x+0 y = 10 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 10:
{x+0 y = 1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: x = 1, y = 1
