To solve the system of equations using the substitution method, we begin with the two equations given:
[tex]\[ y = 3x - 4 \][/tex]
[tex]\[ x = 9 \][/tex]
Step 1: Identify the value of one variable from one of the equations. In this case, we already know that:
[tex]\[ x = 9 \][/tex]
Step 2: Substitute this value into the other equation. Substitute [tex]\( x = 9 \)[/tex] into the equation [tex]\( y = 3x - 4 \)[/tex]:
[tex]\[ y = 3(9) - 4 \][/tex]
Step 3: Simplify the right-hand side to find the value of [tex]\( y \)[/tex]:
[tex]\[ y = 27 - 4 \][/tex]
[tex]\[ y = 23 \][/tex]
Step 4: Write the ordered pair [tex]\((x, y)\)[/tex] using the values of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] we found:
[tex]\[ (x, y) = (9, 23) \][/tex]
Therefore, the correct ordered pair is:
[tex]\[ \boxed{(9, 23)} \][/tex]
So, the correct answer is:
[tex]\[ \text{A. } (9, 23) \][/tex]
