Answer:
x = 101/20, y = 1/4
Step-by-step explanation:
Solve the following system:
{-y + 5 x = 25 | (equation 1)
3 y + 5 x - 1 = 25 | (equation 2)
Express the system in standard form:
{5 x - y = 25 | (equation 1)
5 x + 3 y = 26 | (equation 2)
Subtract equation 1 from equation 2:
{5 x - y = 25 | (equation 1)
0 x+4 y = 1 | (equation 2)
Divide equation 2 by 4:
{5 x - y = 25 | (equation 1)
0 x+y = 1/4 | (equation 2)
Add equation 2 to equation 1:
{5 x+0 y = 101/4 | (equation 1)
0 x+y = 1/4 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 101/20 | (equation 1)
0 x+y = 1/4 | (equation 2)
Collect results:
Answer: {x = 101/20, y = 1/4
