Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $t$ . $\newline$ $\frac{t + 2}{3} = \frac{t + 7}{6}$ $\newline$ There may be $1$ or $2$ solutions. $\newline$ $t =$ _ or $t =$ _

View step-by-step help

View step-by-step help

Solve rational equations

Full solution

Q. Solve for

t

.

\newline

\frac{t + 2}{3} = \frac{t + 7}{6}

\newline

There may be

1

or

2

solutions.

\newline

t =

_____ or

t =

_____

Cross multiply to eliminate fractions: Cross multiply to eliminate the fractions. $\newline$ $(t + 2)/3 = (t + 7)/6$ $\newline$ $6 \cdot (t + 2) = 3 \cdot (t + 7)$
Distribute $6$ and $3$ on both sides: Distribute the $6$ and $3$ on both sides of the equation. $6t + 12 = 3t + 21$
Isolate variable t: Isolate the variable t on one side of the equation. $\newline$ $6t - 3t = 21 - 12$ $\newline$ $3t = 9$
Solve for t: Solve for t by dividing both sides of the equation by $3$ . $\newline$ $\frac{3t}{3} = \frac{9}{3}$ $\newline$ $t = 3$

More problems from Solve rational equations

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

` frac{t - 4}{t - 2} =` ____

Posted 1 month ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{g}{3g^2 - 4g}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\frac{3}{2} - \frac{5p^3}{3}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{1 + \frac{v^5w}{3}}{1}

\newline

Posted 2 months ago

Question

h

\newline

\frac{-5}{h - 2} = \frac{-4}{h - 3}

\newline

1

2

\newline

h =

h =

Posted 1 month ago

Question

What is the equation of the vertical asymptote of

y = \frac{1}{x + 9}

Posted 2 months ago

Question

What is the excluded value for

y = \frac{1}{x - 9} - 9

\newline

Posted 2 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9k + 4}{9k^2 + 4k}

\newline

Posted 2 months ago

Question

Divide. Write your answer in simplest form.

\newline

\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)

\newline

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{5 - \frac{3}{t^3}}{1}

\newline

Posted 2 months ago