Question

Solve the system, enter the smallest x coordinate first

Answer 1

The solutions to the system of equations are given as follows: (1, -3) and (-4,2).

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.

The equations are given as follows:

• (x + 3)² + (y + 2)² = 17.

• x + y = -2.

From the second equation:

y = -2 - x.

Replacing in the first:

(x + 3)² + (y + 2)² = 17.

(x + 3)² + (-2 - x + 2)² = 17

x² + 6x + 9 + x² = 17

2x² + 6x - 8 = 0

2(x² + 3x - 4) = 0

2(x + 4)(x - 1) = 0.

Then the solutions for x are:

• x + 4 = 0 -> x = -4.

• x - 1 = 0 -> x = 1.

The solutions for y are:

• When x = 1, y = -2 - 1 = -3.

• When x = -4, y = -2 -(-4) = 2.

Hence the solutions are:

(1, -3) and (-4,2).

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1