Respuesta :
The solution to the system of equation are (0, -6)(-1, -8)
How to find the solution of a system of equation?
y = x² + 3x - 6
y = 2x - 6
Hence,
2x - 6 = x² + 3x - 6
x² + 3x - 6 - 2x + 6
x² + x = 0
x(x + 1) = 0
x = 0 or x = -1
Hence,
when x = 0
y = 2(0) - 6
y = -6
when
x = -1
y = 2(-1) - 6
y = -8
Therefore, the solutions are as follows;
(0, -6)(-1, -8)
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The solution to the system of equations is given by:
A. (-1,-8) and (0, -6).
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
- y = x² + 3x - 6.
- y = 2x - 6.
To find the solutions for x, we equalize them, hence:
x² + 3x - 6 = 2x - 6
x² + x = 0.
x(x + 1) = 0
x = 0 or x = -1.
For y, the solutions are given as follows:
- When x = 0, y = 2(0) - 6 = -6.
- When x = -1, y = 2(-1) - 6 = -8.
Hence option A is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
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