#1**0 **

Solve the following system:

{5 x + 2 y = 22 | (equation 1)

10 x + 9 y = 59 | (equation 2)

Swap equation 1 with equation 2:

{10 x + 9 y = 59 | (equation 1)

5 x + 2 y = 22 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{10 x + 9 y = 59 | (equation 1)

0 x - (5 y)/2 = (-15)/2 | (equation 2)

Multiply equation 2 by -2/5:

{10 x + 9 y = 59 | (equation 1)

0 x+y = 3 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{10 x+0 y = 32 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 10:

{x+0 y = 16/5 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

**Answer: | x = 16/5 and y = 3**

Guest Jun 10, 2017