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

Answer 1

To solve the system of equations using the substitution method, we can substitute the value of \( y \) from the first equation into the second equation.

The system of equations is:

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

Substituting \( y = -3 \) into 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 substitute it back into the first equation to find \( y \):

\[ y = -3 \]

Thus, the solution to the system of equations is:

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