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

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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.

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