Question

Find the value of variable
Q no 1 ) 16=4+3 ( t + 2 )​

Answer 1

Answer:

done

Step-by-step explanation:

16=7t+14

16-14=7t

2=7t

t=7/2

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Answer 2

Answer :-

$\sf Q) \: 16 = 4 + 3 \: (t + 2)$

Removing the brackets,

$\Rightarrow\sf16 = 4 + 3t + 6$

Transposing 6 from RHS to LHS, changing it's sign,

$\Rightarrow \sf16 - 6 = 4 + 3t$

On simplifying,

$\Rightarrow \sf10 = 4 + 3t$

Transposing 4 from RHS to LHS, changing it's sign,

$\Rightarrow \sf10 - 4 = 3t$

On simplifying,

$\Rightarrow\sf6 = 3t$

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

$\Rightarrow\sf\dfrac{6}{3} = t$

Dividing 6 by 3,

$\Rightarrow\sf2 = t.$

• The value of t = 2.

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Verification :-

To verify our answer, let's put 2 in the place of t and see whether LHS = RHS.

LHS

$\sf\Rightarrow16.$

RHS

$\Rightarrow\sf4 + 3 \: (2 + 2)$

Adding 2 and 2,

$\Rightarrow\sf 4 + 3 \: (4)$

Removing the brackets,

$\Rightarrow\sf 4 + 3 \times 4$

Applying the BODMAS rule and multiplying 3 by 4 first,

$\Rightarrow\sf 4 + 12$

Adding 12 to 4,

$\Rightarrow\sf 16.$

Since LHS = RHS,

Hence verified!