Use the graph to solve the given system of equations by plotting both lines and the point of intersection by moving the dots to the correct location,, then enter your solution below.
y=−3x−9
3x+4y=−9

Respuesta :

Answer:

  (x, y) = (-3, 0)

Step-by-step explanation:

You want a graphical solution to the system of equations ...

  • y = -3x -9
  • 3x +4y = -9

Graph

A graph of the system is attached. The lines intersect at (-3, 0).

The solution to the equations is (x, y) = (-3, 0).

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Ver imagen sqdancefan

The solution to the system of equations is x = -3 and y = 0.

The given system of equations is:

Equation 1: y = -3x - 9

Equation 2: 3x + 4y = -9

To find the solution to this system, we need to find the values of x and y that satisfy both equations simultaneously.

We can start by substituting Equation 1 into Equation 2:

3x + 4(-3x - 9) = -9

Simplifying the equation:

3x - 12x - 36 = -9

Combine like terms:

-9x - 36 = -9

Now, let's isolate the variable x:

-9x = -9 + 36

-9x = 27

Divide both sides of the equation by -9 to solve for x:

x = 27 / -9

x = -3

Now that we have the value of x, we can substitute it back into Equation 1 to find the value of y:

y = -3(-3) - 9

y = 9 - 9

y = 0

Therefore, the solution to the system of equations is x = -3 and y = 0.

For more such questions on equations visit:

https://brainly.com/question/17145398

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Ver imagen ssubhraprit2001
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