Question

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

Answer 1

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

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