Question

Solve using substitution.

x + 3y = 2
y = –2

Answer 1

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

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

Since equation 2 gives us the value of \( y \), we can substitute \( y = -2 \) into equation 1.

Substituting \( y \) in equation 1:

\[
x + 3(-2) = 2
\]

Now, simplify the equation:

\[
x - 6 = 2
\]

Next, add 6 to both sides:

\[
x = 2 + 6
\]

\[
x = 8
\]

Now, we have the solution for the system of equations. The values of \( x \) and \( y \) are:

\[
x = 8, \quad y = -2
\]

Therefore, the solution is \( (8, -2) \).