Solve the systems of equations, show your steps.
3.

Ask by Welch Moran. in the United States

Mar 19,2025

Question

Solve the systems of equations, show your steps. 3. $$ \left\{\begin{array}{l}y=-5 x-6 \ y=3 x+2\end{array}ight. $$

UpStudy AI · Accepted Answer

1. Since both equations equal $$ y $$, set them equal:
   $$
   -5x - 6 = 3x + 2
   $$

2. Add $$ 5x $$ to both sides:
   $$
   -6 = 8x + 2
   $$

3. Subtract $$ 2 $$ from both sides:
   $$
   -8 = 8x
   $$

4. Divide both sides by $$ 8 $$:
   $$
   x = -1
   $$

5. Substitute $$ x = -1 $$ back into one of the original equations (using $$ y = 3x + 2 $$):
   $$
   y = 3(-1) + 2 = -3 + 2 = -1
   $$

The solution to the system is:
   $$
   \boxed{x = -1, \quad y = -1}
   $$
The solution is $$ x = -1 $$ and $$ y = -1 $$.

Solve the systems of equations, show your steps.
3.