Solve using substitution. $$ \begin{array}{l}x=-3 \ 7 x+2 y=-17\end{array} $$

Question

UpStudy AI · Accepted Answer

We start with the system of equations:

$$
\begin{aligned}
x &= -3, \
7x + 2y &= -17.
\end{aligned}
$$

**Step 1:** Substitute $$x = -3$$ into the second equation:

$$
7(-3) + 2y = -17.
$$

**Step 2:** Simplify the equation:

$$
-21 + 2y = -17.
$$

**Step 3:** Isolate $$2y$$ by adding $$21$$ to both sides:

$$
2y = -17 + 21 = 4.
$$

**Step 4:** Solve for $$y$$ by dividing both sides by $$2$$:

$$
y = \frac{4}{2} = 2.
$$

Thus, the solution to the system is:

$$
\boxed{x = -3,\quad y = 2}.
$$
The solution is $$ x = -3 $$ and $$ y = 2 $$.

Solve using substitution. \[ \begin{array}{l}x=-3 \\ 7 x+2 y=-17\end{array} \]