Solve for a. {:[5+14 a=9a-5],[a=◻]:}

Write equations: Write down the given system of equations. {:[5+14a=9a-5],[a=◻]:}Simplify first equation: Simplify the first equation by moving all terms containing 'a' to one side and constant terms to the other side. 5 + 14a - 9a = 9a - 5 - 9a 5 + 5a = -5Combine like terms: Combine like terms on both sides of the equation. 5 + 5a = -5Isolate term with 'a': Subtract 5 from both sides to isolate the term containing 'a'. 5 + 5a - 5 = -5 - 5 5a = -10Solve for 'a': Divide both sides by 5 to solve for 'a'. 5a / 5 = -10 / 5 a = -2

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Solve for $a$ . $\newline$ $\begin{array}{l} 5+14 a=9 a-5 \\ a=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

a

\newline

\begin{array}{l} 5+14 a=9 a-5 \\ a=\square \end{array}

Write equations: Write down the given system of equations. $\newline$ {:\left\{\begin{array}{l}$\newline$$5$+$14$a=$9$a$-5$,(\newline\)a=\square$\newline$\end{array}\right.\:}\(\newline
Simplify first equation: Simplify the first equation by moving all terms containing ' extit{a}' to one side and constant terms to the other side. $\newline$ $5 + 14a - 9a = 9a - 5 - 9a$ $\newline$ $5 + 5a = -5$
Combine like terms: Combine like terms on both sides of the equation. $5 + 5a = -5$
Isolate term with 'a': Subtract $5$ from both sides to isolate the term containing 'a'. $\newline$ $5 + 5a - 5 = -5 - 5$ $\newline$ $5a = -10$
Solve for 'a': Divide both sides by $5$ to solve for 'a'. $\newline$ $\frac{5a}{5} = \frac{-10}{5}$ $\newline$ $a = -2$