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Solve. $\newline$ $y = 5$ $\newline$ $–3x + 4y = 11$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 5

\newline

–3x + 4y = 11

\newline

(_____, _____)

Substitute $y = 5$ : Substitute $y = 5$ into the equation $–3x + 4y = 11$ and then simplify. $\newline$ Substitute $5$ for $y$ in $–3x + 4y = 11$ . $\newline$ $–3x + 4(5) = 11$
Perform multiplication and simplify: Perform the multiplication and simplify the equation. $-3x + 20 = 11$
Isolate variable term $x$ : Isolate the variable term $x$ . $\,-3x + 20 - 20 = 11 - 20$ $\,-3x = -9$
Solve for x: Solve for x. $\newline$ $-3x = -9$ $\newline$ $x = -9 / -3$ $\newline$ $x = 3$
Find ordered pair solution: We found: $\newline$ $x = 3$ $\newline$ $y = 5$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 3$ and $y = 5$ into $(x, y)$ . $\newline$ The solution is $(3, 5)$ .

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