Solve by using elimination 7) - 6x - 8y = - 30

4x + 2y = 20

x = 5, y = 0

Step-by-step explanation by elimination:

Solve the following system:

{-6 x - 8 y = - 30 | (equation 1)

4 x + 2 y = 20 | (equation 2)

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

{ - (6 x) - 8 y = - 30 | (equation 1)

0 x - (10 y) / 3 = 0 | (equation 2)

Divide equation 1 by - 2:

{3 x + 4 y = 15 | (equation 1)

0 x - (10 y) / 3 = 0 | (equation 2)

Multiply equation 2 by 3/10:

{3 x + 4 y = 15 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by - 1:

{3 x + 4 y = 15 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract 4 * (equation 2) from equation 1:

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

0 x+y = 0 | (equation 2)

Divide equation 1 by 3:

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

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 5, y = 0