The solutions of the equations will be (-2, 0) and (1, -3).
What is the solution to the equation?
The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equations are given below.
y = x² - 4 ...1
y = - x - 2 ...2
From equations 1 and 2, then we have
x² - 4 = - x - 2
x² + x - 2 = 0
Factorize the equation, then we have
x² + 2x - x - 2 = 0
x(x + 2) - 1(x + 2) = 0
(x + 2)(x - 1) = 0
x = -2, 1
At x = -2, the value of y will be
y = - (-2) - 2
y = 0
At x = 1, the value of y will be
y = - 1 - 2
y = -3
Then the solutions of the equations will be (-2, 0) and (1, -3).
The graph is given below.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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