Question

Solve the system of equations below.
y=-x-4
x+y=-4

Answer 1

You sure?

Answer 2

To solve this system of equations, we can substitute the first equation into the second equation:

x + (-x-4) = -4
x - x - 4 = -4
-4 = -4

Since the equation simplifies to a true statement, this system of equations has infinitely many solutions. Any point that satisfies the equation y = -x - 4 will also satisfy the equation x + y = -4.

Answer 3

Let's revisit the system of equations:

1) y = -x - 4
2) x + y = -4

We can substitute the value of y from the first equation into the second equation:

x + (-x - 4) = -4
x - x - 4 = -4
-4 = -4

This is a true statement, which indicates that the system has infinitely many solutions or the two equations represent the same line. Let's analyze further by solving for x or y:

From equation 1:
y = -x - 4

From equation 2:
x + y = -4
x + (-x - 4) = -4
x - x - 4 = -4
-4 = -4

This confirms that the system has infinitely many solutions.

Therefore, the system of equations has infinitely many solutions, and any point that satisfies the equation y = -x - 4 will also satisfy the equation x + y = -4.