Question

$\frac{t + 8}{3} = t$
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Answer 1

Answer:

4

Step-by-step explanation:

t + 8 /3 = t

t + 8 = 3 × t

t + 8 = 3t

t - 3t = -8

-2t = -8

t = -8/-2

t = 4

Answer 2

Answer :-

• The value of t is 4.

Solution :-

$\hookrightarrow\sf \dfrac{t + 8}{3} = t$

Transposing 3 from LHS to RHS, changing it's sign,

$\hookrightarrow\sf t + 8 = t \times 3$

Multiplying t with 3,

$\hookrightarrow\sf t + 8 = 3t$

Transposing t from LHS to RHS, changing it's sign,

$\hookrightarrow\sf8 = 3t - t$

Subtracting t from 3t,

$\hookrightarrow\sf8 = 2t$

Transposing 2 from RHS to LHS, changing it's sign,

$\hookrightarrow\sf\dfrac{8}{2} = t$

Dividing 8 by 2,

$\hookrightarrow\sf4 = t$

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V E R I F I C A T I O N

• To check our answer, let's put 4 (the value of t) in the place of t and see whether LHS = RHS.

LHS

$\longmapsto \rm\dfrac{t + 8}{4}$

Substituting the value of t,

$\longmapsto\rm \dfrac{4 + 8}{3}$

$\longmapsto \rm\dfrac{12}{3}$

$\longmapsto4$

RHS

$\rm\longmapsto t$

Substituting the value of t,

$\longmapsto4$

LHS = RHS.

Hence verified!