Find the solution(s) to the system of equations. Select all that apply.
y=x²-4
y=-x-2

The solution will be the intersection points thus options A (1,-3) and B (-2,0) will be correct.

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

The solution will be the intersection points of both functions.

At the intersection point,

x² - 4 = -x - 2

x² + x - 2 = 0

x² + 2x - x - 2 = 0

x(x + 2) - (x + 2) = 0

(x - 1)(x + 2) = 0

x = 1,-2

At x = 1

y = -1 - 2 = -3 so first intersection is (1,-3)

At x = -2

y = -(-2) - 2 = 0 so second intersection is (-2,0)

Hence "The solution of the given system of equations is (1,-3) and (-2,0)".

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