Question

LCHE
Solve 9x +8=10x- 3​

Answer 1

Answer:

Step-by-step explanation:

9x + 8 = 10x - 3

Transpose Like terms to each other

9x - 10x = 3 - 8

- x = -5

==> x = 5

Answer 2

Question :-

• Solve :- 9x + 8 = 10x - 3

Answer :-

$\sf Q)\: 9x + 8 = 10x - 3$

Putting the constant and variable terms on different sides by transposing,

$\Rightarrow\sf 9x - 10x = -3 - 8$

On simplifying,

$\Rightarrow\sf - x = - 11$

Cutting the negative sign,

$\Rightarrow\sf x = 11.$

So, the value of x is 11.

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Verification :-

To check our answer, let's put 9 (The value of y) in place of y and see whether LHS = RHS.

$\underline{\underline{\mathfrak{Substituting \: the \: value \: of \: x,}}}$

LHS

$\Rightarrow\sf 9 \times 11 + 8$

Applying the BODMAS rule and multiplying 9 by 11 first,

$\Rightarrow\sf 99 + 8$

Adding 8 to 99,

$\Rightarrow\sf107.$

RHS

$\Rightarrow\sf 10 \times 11 - 3$

Applying the BODMAS rule and multiplying 10 by 11 first,

$\Rightarrow\sf 110 - 3$

Subtracting 3 from 110,

$\Rightarrow\sf107.$

Since LHS = RHS,

Hence verified!

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$\underline{\underline{\rm Abbreviations\: used :-}}$

$\sf LHS = Left \:hand \:side.$

$\sf RHS = Right \: hand \: side.$