Solving Simultaneous Equations Using Substitution Practice

Question

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Question
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 have:

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

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

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

\[ -3 = 2x + 1 \]

Now, we need to 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 \( x = -2 \), we can substitute this back into the first equation to find \( y \):

\[ y = -3 \]

So the solution of the system of equations is:

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

In coordinate form, the solution is:

\[ (-2, -3) \]