Question

Solve this linear equation with working
I will mark brainlist

x/3 + 1 = 7/15


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Answer 1

Answer:

this is your answer ok vote and follow

Answer 2

Solution :

$\tt\:\frac{x}{3}+1=\frac{7}{15}$

$\tt\implies\:\frac{x+3}{3}=\frac{7}{15}$

• Cross multiplying

$\tt\implies\:15(x+3)=7 \times 3$

$\tt\implies\:15x+45=21$

• Transposing +45 to RHS it becomes -45

$\tt\implies\:15x=-24$

• Transposing 15 to RHS it goes to the denominator

$\tt\implies\:x=\frac{-24}{15}$

• Reducing the fraction to the lower terms

$\tt\implies\:x=\cancel{\frac{-24}{15}}$

$\small{\underline{\boxed{\mathrm\red{\implies\:x=\frac{-8}{5}}}}}$ ✧

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Verification :

$\tt\:\frac{x}{3}+1=\frac{7}{15}$

• Substituting the value of x as -8 / 5

$\tt\to\:\frac{\frac{-8}{5}}{3}+1=\frac{7}{15}$‎

$\tt\to\:\frac{-8}{5} \times \frac{1}{3} +1=\frac{7}{15}$

$\tt\to\:\frac{-8}{15} +1=\frac{7}{15}$

$\tt\to\:\frac{-8+15}{15} =\frac{7}{15}$

$\tt\to\:\frac{7}{15} =\frac{7}{15}$

$\tt\to\:105 =105$

$\tt\:LHS=RHS$

Hence Verified !~

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Thnks :))