Solve the system. - 0.18x + y = - 6.54 - 2.8x - y = - 2.4 A) (8, 8) B) (3, - 6) C) (-6, 5.46) D) (-3, - 22.8)

x = 3, y = - 6 thus B is the Answer

Step-by-step explanation:

Solve the following system:

{y - 0.18 x = - 6.54

{-2.8 x - y = - 2.4

In the first equation, look to solve for y:

{y - 0.18 x = - 6.54

{-2.8 x - y = - 2.4

y - 0.18 x = y - (9 x) / 50 and - 6.54 = - 327/50:

y - (9 x) / 50 = - 327/50

Add (9 x) / 50 to both sides:

{y = 3/50 (3 x - 109)

{-2.8 x - y = - 2.4

Substitute y = 3/50 (3 x - 109) into the second equation:

{y = 3/50 (3 x - 109)

{-2.8 x - 3/50 (3 x - 109) = - 2.4

-2.8 x - (3 (3 x - 109)) / 50 = (327/50 - (9 x) / 50) - 2.8 x = 327/50 - 2.98 x:

{y = 3/50 (3 x - 109)

327/50 - 2.98 x = - 2.4

In the second equation, look to solve for x:

{y = 3/50 (3 x - 109)

327/50 - 2.98 x = - 2.4

327/50 - 2.98 x = 327/50 - (149 x) / 50 and - 2.4 = - 12/5:

327/50 - (149 x) / 50 = - 12/5

Subtract 327/50 from both sides:

{y = 3/50 (3 x - 109)

{ - (149 x) / 50 = - 447/50

Multiply both sides by - 50/149:

{y = 3/50 (3 x - 109)

x = 3

Substitute x = 3 into the first equation:

{y = - 6

{x = 3

Collect results in alphabetical order:

Answer: {x = 3, y = - 6