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Use the substitution method to solve the system of equations. Choose the correct ordered pair.

[tex]\[
\begin{array}{l}
y = 8x - 4 \\
x = 4
\end{array}
\][/tex]

A. [tex]\((2, 4)\)[/tex]

B. [tex]\((2, 12)\)[/tex]

C. [tex]\((4, 28)\)[/tex]

D. [tex]\((4, 4)\)[/tex]

Sagot :

GinnyAnsweridn
To solve the system of equations using the substitution method, follow these steps:

1. Given equations:
[tex]\[ y = 8x - 4 \][/tex]
[tex]\[ x = 4 \][/tex]

2. Substitute [tex]\( x = 4 \)[/tex] into the first equation:
[tex]\[ y = 8(4) - 4 \][/tex]

3. Perform the multiplication and subtraction:
[tex]\[ y = 32 - 4 \][/tex]
[tex]\[ y = 28 \][/tex]

4. The ordered pair that satisfies both equations is [tex]\((x, y) = (4, 28)\)[/tex].

Thus, the correct answer is:
C. [tex]\((4, 28)\)[/tex]
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