Question

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Explanation:

Step1: Substitute y into second equation

Substitute $y=-2x-1$ into $-6x-3y=3$:
$$-6x - 3(-2x - 1) = 3$$

Step2: Expand and simplify left side

Distribute and combine like terms:
$$-6x + 6x + 3 = 3$$
$$3 = 3$$

Step3: Interpret the result

The equation is always true, meaning there are infinitely many solutions, where all points follow $y=-2x-1$.

Answer:

This system has infinitely many solutions, where every solution satisfies $\boldsymbol{y=-2x-1}$ (for any real value of $x$, $y$ is defined by this equation).