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Solve. $\newline$ $x = 3$ $\newline$ $–6x + 5y = 17$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = 3

\newline

–6x + 5y = 17

\newline

(_____, _____)

Substitute $x = 3$ : Substitute $x = 3$ into the equation $–6x + 5y = 17$ and then simplify. $\newline$ Substitute $3$ for $x$ in $–6x + 5y = 17$ . $\newline$ $–6(3) + 5y = 17$ $\newline$ $–18 + 5y = 17$
Isolate variable term: Isolate the variable term to solve for $y$ . $-18 + 5y + 18 = 17 + 18$ $5y = 35$
Divide both sides: Divide both sides by $5$ to find the value of $y$ . $\newline$ $\frac{5y}{5} = \frac{35}{5}$ $\newline$ $y = 7$
Find ordered pair: We found: $\newline$ $x = 3$ $\newline$ $y = 7$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 3$ and $y = 7$ into $(x, y)$ . $\newline$ The solution is $(3, 7)$ .

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