Use the substitution method to solve the system y = -3, y = 2x + 1. (1 point)

1 answer

To solve the system of equations using the substitution method, we have the two equations:

  1. \( y = -3 \)
  2. \( y = 2x + 1 \)

Since the first equation gives us a direct value for \( y \), we can substitute that value into the second equation.

Substituting \( y = -3 \) into the second equation:

\[ -3 = 2x + 1 \]

Next, we solve for \( x \):

  1. Subtract 1 from both sides:

\[ -3 - 1 = 2x \] \[ -4 = 2x \]

  1. Divide both sides by 2:

\[ x = -2 \]

Now we have the solution for \( x \). To find the value of \( y \), we can substitute \( x = -2 \) back into the first equation (though we already know what \( y \) is):

\[ y = -3 \]

Thus, the solution to the system of equations is:

\[ (x, y) = (-2, -3) \]

So the final answer is:

\[ \boxed{(-2, -3)} \]