Question

use the substitution method to solve the system of equations. choose the correct ordered pair.
y = 3x - 4
x = 9

a. (1, -1)
b. (0, -4)
c. (9, 31)
d. (9, 23)

Explanation:

Step1: Substitute \( x = 9 \) into \( y = 3x - 4 \)

We know \( x = 9 \), so we replace \( x \) in the equation \( y = 3x - 4 \) with 9.
\( y = 3\times9 - 4 \)

Step2: Calculate the value of \( y \)

First, calculate \( 3\times9 = 27 \), then subtract 4 from 27.
\( y = 27 - 4 = 23 \)
So the ordered pair is \( (9, 23) \) since \( x = 9 \) and \( y = 23 \).

Answer:

D. (9, 23)