To solve the system of equations using the substitution method, we have:
- \( y = -3 \)
- \( y = 2x + 1 \)
Since \( y \) is already expressed in the first equation, we can substitute \(-3\) for \( y \) in the second equation.
Now, substitute \( y \) in the second equation:
\[ -3 = 2x + 1 \]
Next, solve for \( x \):
-
Subtract 1 from both sides: \[ -3 - 1 = 2x \] \[ -4 = 2x \]
-
Divide both sides by 2: \[ x = -2 \]
Now that we have found \( x = -2 \), we can substitute this value back into the first equation to find \( y \):
\[ y = -3 \]
Thus, the solution to the system of equations is: \[ (x, y) = (-2, -3) \]
Final answer:
\[ (-2, -3) \]