What value of t is a solution to this equation? 8t = 96 Choices: (A)t = 10 (B)t = 12

Identify Operation: Identify the operation needed to isolate the variable t. The equation is 8t = 96, which means 8 times t equals 96. To find the value of t, we need to perform the inverse operation of multiplication, which is division.Divide by 8: Divide both sides of the equation by 8 to solve for t. To isolate t, we divide both sides of the equation by 8. This gives us t = 96 / 8.Perform Division: Perform the division to find the value of t. Now we calculate t = 96 / 8, which equals 12.Check Answer: Check the answer by substituting the value of t back into the original equation. Substitute t = 12 into the original equation: 8t = 96 becomes 8(12) = 96. This simplifies to 96 = 96, which is true.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What value of $t$ is a solution to this equation? $\newline$ $8t = 96$ $\newline$ Choices: $\newline$ (A) $t = 10$ $\newline$ (B) $t = 12$

View step-by-step help

Home

Math Problems

Grade 7

Which x satisfies an equation?

Full solution

Q. What value of

t

is a solution to this equation?

\newline

8t = 96

\newline

Choices:

\newline

(A)

t = 10

\newline

(B)

t = 12

Identify Operation: Identify the operation needed to isolate the variable $t$ . The equation is $8t = 96$ , which means $8$ times $t$ equals $96$ . To find the value of $t$ , we need to perform the inverse operation of multiplication, which is division.
Divide by $8$ : Divide both sides of the equation by $8$ to solve for $t$ . To isolate $t$ , we divide both sides of the equation by $8$ . This gives us $t = \frac{96}{8}$ .
Perform Division: Perform the division to find the value of $t$ . Now we calculate $t = \frac{96}{8}$ , which equals $12$ .
Check Answer: Check the answer by substituting the value of $t$ back into the original equation. $\newline$ Substitute $t = 12$ into the original equation: $8t = 96$ becomes $8(12) = 96$ . This simplifies to $96 = 96$ , which is true.