Solve for t. 16-2t=(3)/(2)t+9 t=

Write down equation: Write down the original equation. 16 - 2t = (3/2)t + 9Eliminate the fraction: To eliminate the fraction, multiply every term by the denominator, which is 2. 2*(16 - 2t) = 2*((3/2)t) + 2*9Perform multiplication: Perform the multiplication. 32 - 4t = 3t + 18Move terms with t: Move all terms containing t to one side of the equation by adding 4t to both sides. 32 - 4t + 4t = 3t + 18 + 4tSimplify equation: Simplify the equation. 32 = 7t + 18Subtract to isolate t: Subtract 18 from both sides to isolate the term with t. 32 - 18 = 7t + 18 - 18Perform subtraction: Perform the subtraction. 14 = 7tDivide to solve for t: Divide both sides by 7 to solve for t. 14 / 7 = 7t / 7Perform the division. t = 2

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Solve for $t$ . $\newline$ $\begin{array}{l} 16-2 t=\frac{3}{2} t+9 \\ t=\square \end{array}$

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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=\frac{3}{2} t+9 \\ t=\square \end{array}

Write down equation: Write down the original equation. $16 - 2t = \left(\frac{3}{2}\right)t + 9$
Eliminate the fraction: To eliminate the fraction, multiply every term by the denominator, which is $2$ . $\newline$ $2\times(16 - 2t) = 2\times\left(\frac{3}{2}t\right) + 2\times 9$
Perform multiplication: Perform the multiplication. $32 - 4t = 3t + 18$
Move terms with $t$ : Move all terms containing $t$ to one side of the equation by adding $4$ t to both sides. $\newline$ $32$ - $4$ t + $4$ t = $3$ t + $18$ + $4$ t
Simplify equation: Simplify the equation. $32 = 7t + 18$
Subtract to isolate $t$ : Subtract $18$ from both sides to isolate the term with $t$ . $\newline$ $32$ - $18$ = $7$ t + $18$ - $18$
Perform subtraction: Perform the subtraction. $\newline$ $14 = 7t$
Divide to solve for $t$ : Divide both sides by $7$ to solve for $t$ . $\newline$ $\frac{14}{7} = \frac{7t}{7}$
Divide to solve for $t$ : Divide both sides by $7$ to solve for $t$ . $\newline$ $\frac{$ $14$ }{ $7$ } = \frac{ $7$ t}{ $7$ }Perform the division. $\newline$ $t =$ $2$