Question

Consider the system of linear equations -4x+2y=4 ​ and 4x-y=-6 Which is different

Answer 1

x= -2, y = -2

Explanation:

Solve the following system:

{2 y - 4 x = 4 | (equation 1)

{4 x - y = -6 | (equation 2)

Add equation 1 to equation 2:

{-(4 x) + 2 y = 4 | (equation 1)

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

Divide equation 1 by 2:

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

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

Subtract equation 2 from equation 1:

{-(2 x)+0 y = 4 | (equation 1)

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

Divide equation 1 by -2:

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

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

Collect results:

Answer: {x = -2 , y = -2