Question

Find the value of x.
$\frac{y + 7}{3} = 1 + \frac{3y - 2}{5}$
and verify your answer.



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Answer 1

finding the value of y

See the attachment:

Answer = 9.5

Answer 2

Answer:

9.5

Step-by-step explanation:

Given Equation :

$\sf \dfrac{y + 7}{3} = \dfrac{ 1 + 3y - 2}{5}$

$\implies$ To solve these kind of equations We have to Do Cross Multiplication

Here, Multiply the Numerator of LHS by Denominator of RHS and vice-versa.

$\sf \: 5(y + 7) = 3(1 + 3y - 2)$

$\sf \: 5y + 35 = 3 + 9y - 6$

Arrange The Constants and The Variables

$\sf \: 5y - 9y = 3 - 6 - 35$

$\sf \: - 4y = 3 - 41$

$\sf \: - 4y = - 38$

$\sf \: y = \dfrac{ - 38}{ - 4}$

$\sf \: y = \dfrac{38}{4}$

$\huge{\boxed{\tt{9.5}}}$