Question

plz solve this 2,3,4 equation ​

Answer 1

Question 2 :

• $\sf\:\frac{x-1}{3}~=~5$

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Solution :

$\sf\:\frac{x-1}{3}~=~5$

Cross multiplying

$\sf\implies\:1(x-1)~=~3 \times 5$

$\sf\implies\:x-1~=~15$

Transposing -1 to RHS it becomes +1

$\sf\implies\:x~=~15+1$

$\small{\underline{\boxed{\mathrm{\implies\:x~=~16}}}}$ $\bf\color{cyan}{⋆}$

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Verification

Plugging the value of x as 16 in the given equation -

$\sf\:\frac{x-1}{3}~=~5$

$\sf\multimap\:\frac{16-1}{3}~=~5$

$\sf\multimap\:\frac{15}{3}~=~5$

$\sf\multimap\:\cancel{\frac{15}{3}}~=~5$

$\sf\multimap\:5~=~5$

Hence Verified !~

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Question 3 :

• ‎ $\bf\:\frac{x-3}{2}~=~5$

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‎ ‎Solution :

$\sf\:\frac{x-3}{2}~=~5$

Cross multiplying

$\sf\implies\:1(x-3)~=~2 \times 5$

$\sf\implies\:x-3~=~10$

Transposing -3 to RHS it becomes +3

$\sf\implies\:x~=~10+3$

$\small{\underline{\boxed{\mathrm{\implies\:x~=~13}}}}$ $\bf\color{cyan}{⋆}$

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‎Verification

Plugging the value of x as 13 in the given equation -

$\sf\:\frac{x-3}{2}~=~5$

$\sf\multimap\:\frac{13-3}{2}~=~5$

$\sf\multimap\:\frac{10}{2}~=~5$

$\sf\multimap\:10~=~5 \times 2$

$\sf\multimap\:10~=~10$

Hence Verified !~

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Question 4 :

• $\bf\:\frac{x+4}{2}~=~3$

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‎ ‎Solution :

$\sf\:\frac{x+4}{2}~=~3$

Cross multiplying

$\sf\implies\:1(x+4)~=~3 \times 2$

$\sf\implies\:x+4~=~6$

Transposing +4 to RHS it becomes -4

$\sf\implies\:x~=~6-4$

$\small{\underline{\boxed{\mathrm{\implies\:x~=~2}}}}$ $\bf\color{cyan}{⋆}$

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‎Verification

Plugging the value of x as 2 in the given equation -

$\sf\:\frac{x+4}{2}~=~3$

$\sf\multimap\:\frac{2+4}{2}~=~3$

$\sf\multimap\:\frac{6}{2}~=~3$

$\sf\multimap\:\cancel{\frac{6}{2}}~=~3$

$\sf\multimap\:3~=~3$

Hence Verified !~

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