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Solving Equations with Variables on Both Sides

In the follow...

Question

Question 3

In the following question out of the four options only one is correct, write the correct answer

If 8x-3=25+17x, then x is:

(a) a fraction

(b) an integer

(c) a rational number

(d) cannot be solved

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Solution

Given, 8x-3=25+17x
$\Rightarrow 8 x - 17 x = 25 + 3 \Rightarrow - 9 x = 28 ∴ x = \frac{- 28}{9}$
Hence, x is a rational number.

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Similar questions

Question 3

In the following question out of the four options only one is correct, write the correct answer

If 8x-3=25+17x, then x is:

(a) a fraction

(b) an integer

(d) cannot be solved

Question 3

In the following question, out of the four options, only one is correct. Write the correct answer:

$3^{- 2}$ can be written as:
(a) $3^{2}$
(b) $\frac{1}{3^{2}}$
(c) $\frac{1}{3^{- 2}}$
(d) $- \frac{2}{2}$

Question 31

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $z, (z^{- 2})^{3}$ is equal to:

(a) $z^{6}$

(b) $z^{- 6}$

(d) $z^{4}$

Question 30

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $p^{13} \div p^{8}$ is equal to :

(a) $p^{5}$

(b) $p^{21}$

(d) $p^{- 19}$

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