Question

decide whether the values given against below equation is a solution of the equation or no
9m=81,m=3,9,-3​

Answer 1

Correct Question :-

• Decide whether the values given against the equation is a solution of the equation or not.

• $\longmapsto$ 9m = 81 (m = 3, 9, -3)

Answer :-

• The correct solution of the given equation is 9.

What to do?

• Decide whether the values given against the equation is a solution of the equation or not.

Step-by-step explanation :-

• Here, we have to decide whether the values given against the equation is a solution of the equation or not. So we will try all the numbers one by one!

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Trying with 3 :-

LHS

$\longmapsto\sf9m$

Substituting 3 in the place of m,

$\longmapsto \sf9 \times 3$

Multiplying 9 with 3,

$\longmapsto \sf27.$

RHS

$\longmapsto\sf81.$

LHS ≠ RHS,

So 3 is not the solution of the given equation.

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Trying with 9 :-

LHS

$\longmapsto\sf9m$

Substituting 9 in the place of m,

$\longmapsto\sf9 \times 9$

Multiplying 9 with 9,

$\longmapsto\sf81.$

RHS

$\longmapsto\sf81.$

LHS = RHS,

So 9 is the solution of the given equation.

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Trying with -3 :-

LHS

$\longmapsto\sf9m$

Substituting the value of m,

$\longmapsto\sf9 \times ( - 3)$

Multiplying 9 with -3,

$\longmapsto\sf( - 27)$

RHS

$\longmapsto\sf81.$

LHS ≠ RHS,

So -3 is not the solution to the equation.

We observe that :-

• 9 is the solution of the given equation.