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

Answer 1

To solve the system of equations using the substitution method, follow these steps:

You have the following two equations:

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

Since the first equation gives you a value for \( y \), you can substitute \( -3 \) for \( y \) in the second equation.

Substituting \( y = -3 \) into the second equation: \[ -3 = 2x + 1 \]

Now, 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 both \( x \) and \( y \):

1. \( x = -2 \)
2. From the first equation, \( y = -3 \)

Thus, the solution to the system of equations is \( (x, y) = (-2, -3) \).