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Solve. $\newline$ $x = 2$ $\newline$ $9x - y = 17$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = 2

\newline

9x - y = 17

\newline

(_____, _____)

Substitute $x = 2$ : Substitute $x = 2$ into the equation $9x − y = 17$ and then simplify. $\newline$ Substitute $2$ for $x$ in $9x − y = 17$ . $\newline$ $9(2) − y = 17$ $\newline$ $18 − y = 17$
Isolate variable term: Isolate the variable term to solve for $y$ . $\newline$ $18 - y = 17$ $\newline$ $18 - y - 18 = 17 - 18$ $\newline$ $-y = -1$
Solve for y: Solve for y by multiplying both sides by $-1$ . $\newline$ $-y \times -1 = -1 \times -1$ $\newline$ $y = 1$
Find ordered pair: We found: $\newline$ $x = 2$ $\newline$ $y = 1$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 2$ and $y = 1$ into $(x, y)$ . $\newline$ The solution is $(2, 1)$ .

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