Find x- if 2x - 6 - 12

Given: An algebraic equation is 2x 6 = 12 Let's solve for x: 2x 6 = 12 Add 6 to both sides of the inequality 2x + 6 6 = 12+6 2x nbsp; = 132 (∵ 6 6 ...

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Byju's Answer

Standard VII

Mathematics

Algebraic Equation and Unknowns

Find x, if 2x...

Question

$Find x, if 2 x - 6 = \frac{1}{2}$

\frac{13}{2}

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\frac{2}{13}

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\frac{13}{4}

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\frac{4}{13}

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Solution

The correct option is C $\frac{13}{4}$
Given: An algebraic equation is $2 x - 6 = \frac{1}{2}$

$Let's solve for x : - ---------------- -$
$2 x - 6 = \frac{1}{2}$
Add 6 to both sides of the inequality
$2 x + 6 - 6 = \frac{1}{2} + 6$
$2 x = \frac{13}{2} (∵ 6 - 6 = 0; \frac{1}{2} + 6 = \frac{13}{2})$

Move 2 as a reciprocal to the R.H.S of the equation
$x = \frac{13}{2 \times 2}$
$x = \frac{13}{4}$

$∴ The value of x = \frac{13}{4}$

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Q. If

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} {(\frac{1}{2})}^{\frac{sin 8 x}{cot 4 x}}, & x < 0 b - 6, & x = 0 (1 + | sin 2 x |)^{\frac{a | cot 3 x |}{b}}, & x > 0 \end{matrix}

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Q. Let

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1 - sin π x}{1 + cos 2 π x}, & x < \frac{1}{2} p, & x = \frac{1}{2} \frac{\sqrt{2 k + \sqrt{2 x - 1}} - 2}{\sqrt{2 x - 1}}, & x > \frac{1}{2} \end{matrix}

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Find x, if 2x−6=12

$Find x, if 2 x - 6 = \frac{1}{2}$