Question

use the substitution method to solve the system of equations. choose the correct ordered pair.

$2x + 3y = 13$
$x = 2$

a. $(2, 4)$
b. $(2, 3)$
c. $(3, 3)$
d. $(3, 2)$

Explanation:

Step1: Substitute \( x = 2 \) into the first equation

We have the equation \( 2x + 3y = 13 \). Substitute \( x = 2 \) into it: \( 2(2)+3y = 13 \)

Step2: Solve for \( y \)

Simplify the left - hand side: \( 4 + 3y=13 \)
Subtract 4 from both sides: \( 3y=13 - 4=9 \)
Divide both sides by 3: \( y = \frac{9}{3}=3 \)
So the ordered pair is \( (2,3) \)

Answer:

B. (2, 3)