Question

find x value
x/3+1=7/15​

Answer 1

Question

Find the value of 'x' in the equation ⇒ $\dfrac{x}{3}+1=\dfrac{7}{15}$

$\rule{300}{1}$

Answer

Let's solve your equation step-by-step.

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

Step 1: Simplify both sides of the equation.

⇒ $\dfrac{1}{3}x+1=\dfrac{7}{15}$

Step 2: Subtract 1 from both sides.

⇒ $\dfrac{1}{3}x+1-1=\dfrac{7}{15}-1$

⇒ $\dfrac{1}{3}x=\dfrac{7}{15}-\dfrac{1\times 15 }{1\times 15 }$

⇒ $\dfrac{1}{3}x=\dfrac{7}{15}-\dfrac{15 }{15 }$

⇒ $\dfrac{1}{3}x=\dfrac{-8}{15}$

Step 3: Multiply both sides by 3.

⇒ $3\times \dfrac{1}{3}x=3\times \dfrac{-8}{15}$

⇒ $x=\dfrac{-24}{15}$

⇒ $x=\dfrac{-8}{5}$

Let's verify if $\bf \underline{x=\frac{-8}{5} }$

⇒ $\dfrac{x}{3}+1=\dfrac{7}{15}$

⇒ $\dfrac{\frac{-8}{5} }{3}+1=\dfrac{7}{15}$

⇒ $\dfrac{-8}{5} \div 3 +1=\dfrac{7}{15}$

⇒ $\dfrac{-8}{5} \times \dfrac{1}{3} +1=\dfrac{7}{15}$

⇒ $\dfrac{-8}{15} +1=\dfrac{7}{15}$

⇒ $\dfrac{-8}{15} +\dfrac{1\times 15 }{1\times 15 } =\dfrac{7}{15}$

⇒ $\dfrac{-8}{15} +\dfrac{15 }{15 } =\dfrac{7}{15}$

⇒ $\dfrac{7}{15} = \dfrac{7}{15}$

$\bf\therefore x = \dfrac{-8}{5} \ in \ the\ equation => \ \dfrac{x}{3} +1=\dfrac{7}{15}$

$\rule{300}{1}$

Answer 2

X/3+1=7/15
X/3=7/15-1
X/3=7-15/15
X/3=-8/15
X= -8/15x3
X= -24/15

Hope it will help you