Question

$\huge\tt\pink{Question}$

Chapter:- Linear Equations in one Variable.

Solve the equation.
$\frac{2x - 1}{5x} = - \frac{1}{6}$
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Answer 1

Required Answer:-

Given:

• (2x - 1)/5x = -1/6

To Find:

• The value of x.

Solution:

Given,

⟹ (2x - 1)/5x = -1/6

⟹ 6(2x - 1) = -5x

⟹ 12x + 5x - 6 = 0

⟹ 17x = 6

⟹ x = 6/17

★ Hence, the value of x is 6/17

Answer:

• x = 6/17

Verification:

To verify whether x = 6/17, we will substitute the value of x on both sides of the equation. If the result obtained on both sides are equal, then our answer is correct.

Taking LHS,

(2x - 1)/5x

= (2 × 6/17 - 1)/(5 × 6/17)

= (12/17 - 1)/(30/17)

= (12 - 17)/17 ÷ 30/17

= -5/17 × 30/17

= -5/17 × 17/30

= -5/30

= -1/6

= RHS.

Hence, our answer is correct (Verified)