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Solve. $\newline$ $x = 3$ $\newline$ $-10x - 3y = -15$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = 3

\newline

-10x - 3y = -15

\newline

(_____, _____)

Substitute $x = 3$ : Substitute $x = 3$ into the equation $–10x − 3y = –15$ and then simplify. $\newline$ Substitute $3$ for $x$ in $–10x − 3y = –15$ . $\newline$ $–10(3) − 3y = –15$
Calculate and simplify: Calculate the multiplication and simplify the equation. $-30 - 3y = -15$
Isolate variable term: Isolate the variable term $3y$ . Add $30$ to both sides of the equation. $-30 + 30 - 3y = -15 + 30$ $-3y = 15$
Solve for y: Solve for y. $\newline$ Divide both sides by $−3$ . $\newline$ $\frac{−3y}{−3} = \frac{15}{−3}$ $\newline$ $y = −5$
Find ordered pair: 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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