Question

3y-6=18
find the solution for linear equation​

Answer 1

Answer:

3y - 6 = 18

=> 3y = 18+6

=> 3y = 24

=> y = 24/3 = 8

Answer 2

Answer :-

• The value of y is 8.

To find :-

• The value of y.

Step-by-step explanation :-

$Q) \: \sf3y - 6 = 18$

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

$\Rightarrow\sf3y = 18 + 6$

Adding 6 to 18,

$\Rightarrow\sf3y = 24$

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

$\Rightarrow\sf y = \dfrac{24}{3}$

Dividing 24 by 3,

$\Rightarrow\overline{\boxed{\sf y = 8}}$

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Verification :-

• To check our answer, let's put 8 in the place of y and check whether LHS = RHS.

LHS

$\longmapsto\rm 3y - 6$

Substituting the value of y,

$\longmapsto\rm 3 \times 8 - 6$

Applying the BODMAS rule and multiplying 3 with 8 first,

$\longmapsto\rm 24 - 6$

Subtracting 6 from 24,

$\longmapsto\rm 18$

RHS

$\longmapsto\rm 18$

Since LHS = RHS,

Hence verified!