Question

What are the solutions of the system? Solve by graphing.

y = -x^2 -6x - 7
y = 2

Answer 1

Answer: (-3, 2)

Explanation:

1. When you grapth the parabola given by the first equation and the line given by the second equation, you obtain the graph shown in the figure attached.

2. To know the solution of the system of equations, you must see the point where the parabola and the line intersect. As you can see the point is at (-3,2), so that is the solution.

Answer 2

Solutions of the given equations is (-3,2).

Explanation:

Here the equations given are y = -x²-6x-7------(1)

and y = 2---------(2)

Now we substitute the value of y from equation (2) into (1)

2 = -x²-6x-7

x²+6x+7 = -2

x²+6x+7+2 = 2-2

x²+6x+9 = 0

x²+3x+3x+9 = 0

x(x+3)+3(x+3) = 0

(x+3)(x+3) = 0

therefore value of x is x = -3

Therefore the solution is (-3,2).