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Solve. $\newline$ $y = 4$ $\newline$ $–5x + 10y = 15$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 4

\newline

–5x + 10y = 15

\newline

(_____, _____)

Substitute $y = 4$ : Substitute $y = 4$ into the equation $–5x + 10y = 15$ . Substitute $4$ for $y$ in $–5x + 10y = 15$ . $–5x + 10(4) = 15$
Simplify the equation: Simplify the equation. $-5x + 40 = 15$
Isolate variable term: Isolate the variable term. $\newline$ $-5x + 40 - 40 = 15 - 40$ $\newline$ $-5x = -25$
Solve for x: Solve for x. $\newline$ $-5x = -25$ $\newline$ $\frac{-5x}{-5} = \frac{-25}{-5}$ $\newline$ $x = 5$
Find ordered pair solution: We found: $\newline$ $x = 5$ $\newline$ $y = 4$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 5$ and $y = 4$ in $(x,y)$ . $\newline$ The solution is $(5, 4)$ .

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