Respuesta :

Answer:

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

The solution to the given system of linear equation is (1.6, -1.6).

The system of linear equations

The given system of linear equations is; y = 1.5x - 4 and y = -x

y = 1.5x - 4 ---- (1)

y = - x ---------- (2)

Substitute (2) into (1)

-x = 1.5x - 4

Subtract 1.5x from both sides;

-x - 1.5x = -4

-2.5x = -4

Divide both sides by -2.5

[tex]x = \frac{-4}{-2.5} \\\\x = 1.6[/tex]

Solve for y;

y = -x

y = -1.6

Thus, the solution to the given system of linear equation is (1.6, -1.6).

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