Solve- 4x-2x1-3x-24-5x-14-6

4x (2x+3x 24)=5x 14 6 ⇒ 4x 2x 3x 24 5x 14+6=0 ⇒ 2x 3x 2+5x 14+6=0 ⇒ 8x 34= 6 2x ⇒8x 34=6+2x ⇒ 8x 3=24+8x ⇒ 3≠ 24 ∴ x∈ϕ ...

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Byju's Answer

Standard X

Mathematics

Equations Reducible to a Pair of Linear Equations in Two Variables

Solve: 4x-2...

Question

Solve: $4 x - (\frac{2 x}{1} + \frac{3 x - 2}{4}) = \frac{5 x - 1}{4} - 6$

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Solution

$4 x - (2 x + \frac{3 x - 2}{4}) = \frac{5 x - 1}{4} - 6$
$\Rightarrow 4 x - 2 x - \frac{3 x - 2}{4} - \frac{5 x - 1}{4} + 6 = 0$
$\Rightarrow 2 x - \frac{3 x - 2 + 5 x - 1}{4} + 6 = 0$
$\Rightarrow - \frac{8 x - 3}{4} = - 6 - 2 x$
$\Rightarrow \frac{8 x - 3}{4} = 6 + 2 x$
$\Rightarrow 8 x - 3 = 24 + 8 x$
$\Rightarrow - 3 \neq 24$
$∴ x \in ϕ$
There is no solution.

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Q. What must be subtracted from

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to get

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Answer:

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Solve: 4x−(2x1+3x−24)=5x−14−6

4x−(2x+3x−24)=5x−14−6⇒4x−2x−3x−24−5x−14+6=0⇒2x−3x−2+5x−14+6=0⇒−8x−34=−6−2x⇒8x−34=6+2x⇒8x−3=24+8x⇒−3≠24∴x∈ϕThere is no solution.

Solve: $4 x - (\frac{2 x}{1} + \frac{3 x - 2}{4}) = \frac{5 x - 1}{4} - 6$