Solve for t. {:[16-2t=t+9+4t],[t=◻]:}

Write down the equation: Write down the given system of equations. We have the equation 16 - 2t = t + 9 + 4t.Combine like terms: Combine like terms on the right side of the equation. 16 - 2t = t + 9 + 4t 16 - 2t = 5t + 9Move terms to each side: Move all terms containing t to one side and constant terms to the other side. 16 - 2t - 5t = 5t + 9 - 5t 16 - 7t = 9Isolate the term with t: Subtract 16 from both sides to isolate the term with t. 16 - 7t - 16 = 9 - 16 -7t = -7Solve for t: Divide both sides by -7 to solve for t. -7t / -7 = -7 / -7 t = 1

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Solve for $t$ . $\newline$ $\begin{array}{l} 16-2 t=t+9+4 t \\ t=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

t

\newline

\begin{array}{l} 16-2 t=t+9+4 t \\ t=\square \end{array}

Write down the equation: Write down the given system of equations. $\newline$ We have the equation $16 - 2t = t + 9 + 4t$ .
Combine like terms: Combine like terms on the right side of the equation. $\newline$ $16 - 2t = t + 9 + 4t$ $\newline$ $16 - 2t = 5t + 9$
Move terms to each side: Move all terms containing $t$ to one side and constant terms to the other side. $16 - 2t - 5t = 5t + 9 - 5t$ $16 - 7t = 9$
Isolate the term with $t$ : Subtract $16$ from both sides to isolate the term with $t$ . $\newline$ $16$ - $7$ t - $16$ = $9$ - $16$ $\newline$ $-7$ t = $-7$
Solve for t: Divide both sides by $-7$ to solve for $t$ . $\frac{-7t}{-7} = \frac{-7}{-7}$ $t = 1$