Question

Which point is a solution of the system of linear equations?

x - 2y = -3
y = -2x - 1
ANSWER CHOICES:
(1, 1) (1, -1) (-1, 1) (-1, -1)

Answer 1

To find the solution to the system of linear equations, we need to find the values of x and y that satisfy both equations simultaneously.

We can start by substituting the value of y from the second equation into the first equation:

x - 2(-2x - 1) = -3
x + 4x + 2 = -3
5x + 2 = -3
5x = -5
x = -1

Now, we can substitute the value of x into the second equation to find the value of y:

y = -2(-1) - 1
y = 2 - 1
y = 1

Therefore, the solution to the system of linear equations is (-1, 1).

Among the answer choices provided, the correct solution is (-1, 1).