Question

x-1 by x+2 =7 by 9 find the value of x
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Answer 1

Given -

• $\sf{\dfrac{x - 1}{x + 2} = \dfrac{7}{9}}$

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To find -

• Value of x.

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Solution -

We have to solve the given expression and find the value of x.

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Cross multiplying

$\tt\dashrightarrow{9(x - 1) = 7(x + 2)}$

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$\tt\dashrightarrow{9x - 9 = 7x + 14}$

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Summarizing the equation

$\tt\dashrightarrow{9x - 7x = 14 + 9}$

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$\tt\dashrightarrow{2x = 23}$

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$\frak\dashrightarrow{\purple{x = \dfrac{23}{2}}}$

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★ $\underline{\sf{Thus,\: value\: of\: x\: is\: \dfrac{23}{2}\: or\: 11.5}}$

Answer 2

Given Equation:-

• x - 1/x + 2 = 7/9

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To find:-

• Value of x.

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Solution:-

★ In this question we have given an equation. We have to find out the value of x. Let's do it.

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According to the question,

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⇢ x - 1/x + 2 = 7/9

⇢ 9(x - 1) = 7(x + 2)

⇢ 9x - 9 = 7x + 14

⇢ 9x - 7x = 14 + 9

⇢ 2x = 23

⇢ x = 23/2

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Hence,

• The value of x is 23/2.