Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.
2x + 4y = 14
X=3
A. (3, 5)
B. (3,2)
C. (2,3)
D. (3, 12)

Answer 1

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

Given the equations:
1. \( 2x + 4y = 14 \)
2. \( x = 3 \)

Substituting \( x = 3 \) into the first equation:

\[
2(3) + 4y = 14
\]

Calculating \( 2(3) \):

\[
6 + 4y = 14
\]

Next, subtract 6 from both sides:

\[
4y = 14 - 6
\]
\[
4y = 8
\]

Now, divide both sides by 4:

\[
y = \frac{8}{4} = 2
\]

Now we have found \( y = 2 \). Thus, the solution to the system of equations is \( (x, y) = (3, 2) \).

The correct ordered pair is:

**B. (3, 2)**.