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Solve using substitution. $\newline$ $x = 9$ $\newline$ $3x + 8y = 3$ $\newline$ (_, _)

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Solve a system of equations using substitution

Full solution

Q. Solve using substitution.

\newline

x = 9

\newline

3x + 8y = 3

\newline

(_____, _____)

Substitute $x = 9$ : Substitute $x = 9$ into the second equation $3x + 8y = 3$ . Substitute $9$ for $x$ in $3x + 8y = 3$ . $3(9) + 8y = 3$ $27 + 8y = 3$
Isolate variable term: Isolate the variable term $8y$ . $\newline$ $27 + 8y = 3$ $\newline$ $8y = 3 - 27$ $\newline$ $8y = -24$
Solve for y: Solve for y. $\newline$ $8y = -24$ $\newline$ $y = \frac{-24}{8}$ $\newline$ $y = -3$
Find ordered pair: We found: $\newline$ $x = 9$ $\newline$ $y = -3$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 9$ and $y = -3$ into $(x, y)$ . $\newline$ The solution is $(9, -3)$ .

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