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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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.
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