Solve this system of equations

3x-5y=7

4x+10y=16

Solve the following system:

{3 x - 5 y = 7 | (equation 1)

{10 y - 4 x = 16 | (equation 2)

Swap equation 1 with equation 2:

{ - (4 x) + 10 y = 16 | (equation 1)

{3 x - 5 y = 7 | (equation 2)

Add 3/4 * (equation 1) to equation 2:

{ - (4 x) + 10 y = 16 | (equation 1)

{0 x + (5 y) / 2 = 19 | (equation 2)

Divide equation 1 by 2:

{ - (2 x) + 5 y = 8 | (equation 1)

{0 x + (5 y) / 2 = 19 | (equation 2)

Multiply equation 2 by 2:

{ - (2 x) + 5 y = 8 | (equation 1)

{0 x+5 y = 38 | (equation 2)

Divide equation 2 by 5:

{ - (2 x) + 5 y = 8 | (equation 1)

{0 x+y = 38/5 | (equation 2)

Subtract 5 * (equation 2) from equation 1:

{ - (2 x) + 0 y = - 30 | (equation 1)

{0 x+y = 38/5 | (equation 2)

Divide equation 1 by - 2:

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

{0 x+y = 38/5 | (equation 2)

Collect results:

Answer: {x = 15

{y = 38/5 or 7.6 decimal