Question

x/3 -7=8 solve
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Answer 1

Answer:

x = 45

Step-by-step explanation:

x/3 - 7 = 8

or, x/3 = 8 + 7

or, x/3 = 15

or, x/3 x 3 = 15 x 3

or, x = 45 (answer)

Answer 2

Answer:

The value of x is 45.

Step-by-step-explanation:

The given linear equation is $\displaystyle{\sf\:\dfrac{x}{3}\:-\:7\:=\:8}$.

Now,

$\displaystyle{\sf\:\dfrac{x}{3}\:-\:7\:=\:8}$

$\displaystyle{\implies\sf\:\dfrac{x\:-\:3\:\times\:7}{3}\:=\:8}$

$\displaystyle{\implies\sf\:\dfrac{x\:-\:21}{3}\:=\:8}$

$\displaystyle{\implies\sf\:x\:-\:21\:=\:8\:\times\:3}$

$\displaystyle{\implies\sf\:x\:-\:21\:=\:24}$

$\displaystyle{\implies\sf\:x\:=\:24\:+\:21}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:45}}}}$

∴ The value of x is 45.

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Verification:

By substituting x = 45 in the LHS of the given equation, we get,

$\displaystyle{\sf\:\dfrac{x}{3}\:-\:7\:=\:8}$

$\displaystyle{\sf\:LHS\:=\:\dfrac{x}{3}\:-\:7}$

$\displaystyle{\implies\sf\:LHS\:=\:\cancel{\dfrac{45}{3}}\:-\:7}$

$\displaystyle{\implies\sf\:LHS\:=\:15\:-\:7}$

$\displaystyle{\implies\boxed{\red{\sf\:LHS\:=\:8}}}$

Now,

$\displaystyle{\implies\boxed{\red{\sf\:RHS\:=\:8}}}$

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:LHS\:=\:RHS}}}}$

Hence verified!