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:

{x = 3 , y = -6

good luck!

cutie~

y + 11 = (1/4)(x + 16)

step-by-step explanation: