5x - 2y = 3 -5x + 4y = 9 systems of equation

x = 3 , y = 6

Step-by-step explanation:

Solve the following system:

{5 x - 2 y = 3 | (equation 1)

{4 y - 5 x = 9 | (equation 2)

Add equation 1 to equation 2:

{5 x - 2 y = 3 | (equation 1)

{0 x+2 y = 12 | (equation 2)

Divide equation 2 by 2:

{5 x - 2 y = 3 | (equation 1)

{0 x+y = 6 | (equation 2)

Add 2 × (equation 2) to equation 1:

{5 x+0 y = 15 | (equation 1)

{0 x+y = 6 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 3 | (equation 1)

{0 x+y = 6 | (equation 2)

Collect results:

 {x = 3 , y = 6