Question

solve the problem.... find answers

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Answer 1

GIVEN :-

• (2x - 3)/(4x + 5) = 1/3

TO FIND :-

• The value of x.

SOLUTION :-

$\\ : \implies \displaystyle \sf \: \dfrac{2x - 3}{4x + 5} = \dfrac{1}{3}$

$\bullet \: \displaystyle \sf \: by \: cross \: multiplication.$

$: \implies \displaystyle \sf \: 1(4x + 5) = 3(2x - 3)$

$: \implies \displaystyle \sf \: 4x + 5 = 6x - 9$

$: \implies \displaystyle \sf \: 4x - 6x = - 9 - 5$

$: \implies \displaystyle \sf \: - 2x = - 14$

$: \implies \displaystyle \sf \: x = \frac{ - 14}{ - 2}$

$: \implies \displaystyle \sf \: x = \frac{14}{2}$

$: \implies \underline{ \boxed{\displaystyle \sf \: x = 7}}$

$\therefore \underline{\displaystyle \sf \: value \ of \ x \ is \ 7}$

________________

Rules for Linear Equation,

→ - = +

→ + = -

→ ÷ = ×

→ × = ÷

Answer 2

Answer:

x = 7

Step-by-step explanation:

(2x - 3)/( 4x + 5 ) = 1/3

6x - 9 = 4x + 5 ( By cross multiplication )

2x = 14

x = 7