Solve the linear equation. Be sure to check your solution. (7)/(6)=-(4)/(9)t The solution set is ◻.

Identify equation: Identify the given linear equation. We have the equation (7/6) = -(4/9)t, where we need to solve for t.Isolate variable: Isolate the variable t. To isolate t, we need to get rid of the fraction -(4/9) that is multiplying t. We can do this by multiplying both sides of the equation by the reciprocal of -(4/9), which is -9/4.Multiply by reciprocal: Multiply both sides of the equation by -9/4. (7/6) * (-9/4) = -(4/9)t * (-9/4)Simplify both sides: Simplify both sides of the equation. On the left side, we multiply the numerators and the denominators separately: (7 * -9) / (6 * 4). On the right side, the -9/4 and -4/9 cancel each other out, leaving us with just t.Perform multiplication: Perform the multiplication on the left side. (7 * -9) / (6 * 4) = -63 / 24Simplify fraction: Simplify the fraction on the left side if possible. -63 / 24 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. (-63 / 3) / (24 / 3) = -21 / 8Final value of t: Write down the final value of t. t = -21 / 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the linear equation. Be sure to check your solution.
(7)/(6)=-(4)/(9)t
The solution set is ◻.

Solve the linear equation. Be sure to check your solution. $\newline$ $\frac{7}{6}=-\frac{4}{9} t$ $\newline$ The solution set is $\square$ .

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. Solve the linear equation. Be sure to check your solution.

\newline

\frac{7}{6}=-\frac{4}{9} t

\newline

The solution set is

\square

Identify equation: Identify the given linear equation. $\newline$ We have the equation $\frac{7}{6} = -\frac{4}{9}t$ , where we need to solve for $t$ .
Isolate variable: Isolate the variable $t$ . To isolate $t$ , we need to get rid of the fraction $-(4/9)$ that is multiplying $t$ . We can do this by multiplying both sides of the equation by the reciprocal of $-(4/9)$ , which is $-9/4$ .
Multiply by reciprocal: Multiply both sides of the equation by $-\frac{9}{4}$ . $\$(\frac{7}{6}) \cdot (-\frac{9}{4}) = -(\frac{4}{9})t \cdot (-\frac{9}{4})$
Simplify both sides: Simplify both sides of the equation. $\newline$ On the left side, we multiply the numerators and the denominators separately: $(7 \times -9) / (6 \times 4)$ . $\newline$ On the right side, the $-9/4$ and $-4/9$ cancel each other out, leaving us with just $t$ .
Perform multiplication: Perform the multiplication on the left side. $\newline$ $(7 \times -9) / (6 \times 4) = -63 / 24$
Simplify fraction: Simplify the fraction on the left side if possible. $\newline$ $-\frac{63}{24}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $\left(-\frac{63}{3}\right) / \left(\frac{24}{3}\right) = -\frac{21}{8}$
Final value of t: Write down the final value of t. $\newline$ t = $-\frac{21}{8}$