What is the solution to the system of equations? y = 1.5x - 4 y = - x (-1.6, 1.6) (-1.5, 1.5) (1.5, - 1.5) (1.6, - 1.6)

x = 1.6, y = - 1.6 or your Answer (1.6, - 1.6)

Step-by-step explanation:

Substitute y = 1.5 x - 4 into the second equation:

{y = 1.5 x - 4

1.5 x - 4 = - x

In the second equation, look to solve for x:

{y = 1.5 x - 4

{1.5 x - 4 = - x

1.5 x - 4 = (3 x) / 2 - 4:

{ (3 x) / 2 - 4 = - x

Add x + 4 to both sides:

{y = 1.5 x - 4

{ (5 x) / 2 = 4

Multiply both sides by 2/5:

{y = 1.5 x - 4

{x = 8/5

Substitute x = 8/5 into the first equation:

{y = - 1.6

{x = 8/5

Collect results in alphabetical order:

Answer: {x = 8/5, y = - 1.6

1.6,-1.6