pabloshanna4 pabloshanna4
  • 26-01-2021
  • Mathematics
contestada

Solve the system by substitution y=2x-6 y=-x

Respuesta :

absor201
absor201 absor201
  • 26-01-2021

Answer:

The solution to the system of equations will be:

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

Step-by-step explanation:

Given the system of equations

y=2x-6

y=-x

Solving the system of equations

[tex]\begin{bmatrix}y=2x-6\\ y=-x\end{bmatrix}[/tex]

Substitute y = -x in y = 2x-6

y = 2x-6

-x = 2x-6

6 = 2x + x

3x = 6

divide both sides by 3

3x/3 = 6/3

x = 2

Now substitute x = 2 in y=-x

y=-x

y = -2

Therefore, the solution to the system of equations will be:

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

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