What is the solution to the system of equations - 6x-2/5y=8 1/2x+3y=29

10,-2

10,2

2,10

-2,10

x = - 2, y = 10 thus - 2,10 is the answer

Step-by-step explanation:

Solve the following system:

{-6 x - (2 y) / 5 = 8 | (equation 1)

x/2 + 3 y = 29 | (equation 2)

Add 1/12 * (equation 1) to equation 2:

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

0 x + (89 y) / 30 = 89/3 | (equation 2)

Multiply equation 1 by 5/2:

{ - (15 x) - y = 20 | (equation 1)

0 x + (89 y) / 30 = 89/3 | (equation 2)

Multiply equation 2 by 30/89:

{ - (15 x) - y = 20 | (equation 1)

0 x+y = 10 | (equation 2)

Add equation 2 to equation 1:

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

0 x+y = 10 | (equation 2)

Divide equation 1 by - 15:

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

0 x+y = 10 | (equation 2)

Collect results:

Answer: {x = - 2, y = 10