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Use the substitution method to solve the system y=−3

, y=2x+1

1 answer

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

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

Since the first equation gives us the value of \( y \), we can substitute \( -3 \) for \( y \) in the second equation:

\[ -3 = 2x + 1 \]

Now, we can solve for \( x \):

  1. Subtract 1 from both sides: \[ -3 - 1 = 2x \] \[ -4 = 2x \]

  2. Divide both sides by 2: \[ x = -2 \]

Now that we have the value of \( x \), we can find the corresponding value of \( y \) using the first equation:

\[ y = -3 \]

So, the solution to the system of equations is:

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