Which ordered pair is a solution to the system of equations? $$ y=x+3 $$ $$ y=-2 x-3 $$ $$ (0,3) $$ $$ (0,-3) $$ $$ (-2,1) $$ $$ (1,2) $$

Question

UpStudy AI · Accepted Answer

To determine which ordered pair is a solution to the system of equations:

$$
\begin{cases}
y = x + 3 \
y = -2x - 3 
\end{cases}
$$

we can solve the system by setting the two equations equal to each other:

$$
x + 3 = -2x - 3
$$

Combine like terms:

$$
3x = -6 \implies x = -2
$$

Now, substitute $$ x = -2 $$ back into one of the original equations to find $$ y $$:

$$
y = (-2) + 3 = 1
$$

So, the solution to the system is $$ (-2, 1) $$.

**Answer:** $$ \boldsymbol{(-2,\ 1)} $$
The solution is $$ (-2, 1) $$.

Which ordered pair is a solution to the system of equations? \( y=x+3 \) \( y=-2 x-3 \) \( (0,3) \) \( (0,-3) \) \( (-2,1) \) \( (1,2) \)