Question

5x - y = -1 - -5x + 3y = 25

Answer 1

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