Question

Solve for t -1/8t = 4

Answer 1

Answer:

t = -32

Step-by-step explanation:

$- \frac{1}{8} t = 4$

• [On Simplification]

$= > \frac{- t}{8} = 4$

• [On multiplying both sides with 8]

$= > \frac{-t}{8} × 8 = 4 × 8$

• [On Simplification]

=> -t = 32

• [On transposing '-' to right side]

=> t = - 32 (Ans)

Answer 2

Answer:

$\boxed{\huge\underline{\it \: t = \bf \: - 32}}$

Step-by-step explanation:

$\bf \: Equation \: Given :-$

$\tt \: \dfrac{ - 1}{ 8} t = 4$

It is an equation.We need to find the value of T of this equation.

$\huge \underline{\bf \: Solution:-}$

The given Equation may be rewritten as,

$: \implies \tt \: - \dfrac{ 1}{8} t = 4$

$\bf \: Firstly, multiply \: both \: sides \: by \: 8/-1 :$

$: \implies \tt \dfrac{8}{ - 1} \times \dfrac{ - 1}{8} t = \dfrac{8}{ - 1} \times 4$

Now cancel Left hand side's 8 and 8 and -1 and -1 . (Result is 1 t)

That is:-

$: \implies \tt \dfrac{ \cancel8}{ \cancel{ - 1}} \times \dfrac{ \cancel{ - 1}}{ \cancel8}t \: = \dfrac{8}{ - 1} \times4$

$: \implies \tt 1 t = \dfrac{8}{ - 1} \times4$

Simply multiply :-

$: \implies \tt \: t \: = - 8 \times 4$

$: \implies \tt \: t = - 32$

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$\underline{\bf \huge \: Verification :}$

Put the value of T on this equation :-

$: \implies \tt \: \dfrac{ - 1}{8} t \: = 4$

Putting 32 (The value of t we got) instead of t :-

As we know t is multiplied with -1/8 so,

$: \implies \tt \: \dfrac{ - 1}{8} \times - 32 = 4$

Simplifying this equation :

Cancel 8 and 32,and cancel the minus sign of -1 and minus sign of -32, That is:-

$: \implies \tt \: \dfrac{ \cancel - 1}{ \cancel8} \times \cancel{ - 32} {}^{ \huge4} = 4$

4 is the result.

$: \implies \tt \: 4 = 4$

$: \implies \it\: LHS = RHS$

$\bf \: Hence, verified.$

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I hope this helps!

Please let me know if you have any questions.