Question

2x by 3 + 1 = 7x by 15 + 3

Answer 1

Answer:

2x/3 – 7x/15 = 3 – 1

(10x – 7x) / 15 = 2

3x / 15 = 2

3x = 30

x=10

Answer 2

Here, we have to solve the given linear equation in one variable and find the value of x. To do so, follow the steps below,

Equation Given :

$\sf \dfrac{2x}{ 3} + 1 = \dfrac{7x}{15} + 3$

Value of x :

$ \sf \dfrac{2x}{3} + 1 = \dfrac{7x}{15} + 3$

$ \to \sf \dfrac{2x+3}{3} = \dfrac{7x + 45}{15} $

$ \to \sf 15(2x + 3) = 3(7x + 45) $

$ \to \sf 30x + 45 = 21x + 135 $

$ \to \sf 40x - 21x = 135 - 45 $

$ \to \sf 19x = 90 $

$ \to \sf x = \dfrac{90}{19} $

• Hence, value of x will be $\dfrac{90}{19}$.

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More To Know :

$\boxed{\begin{aligned} \bf ♣ \ \ {\underline{More \ To \ Know \ : }}\\ \sf 1) \ a + b = c → a = c - b \\ \sf 2) \ a - b = c → a = c + b \\ \sf 3) \ ab = c → a = \dfrac{c}{b} \\ 4) \ \sf \dfrac{a}{b} = c → a = cb \\ \sf 5) \ a^{2} = c → a = \sqrt{c} \end{aligned}}$