Question

y-6/2=3-2y/5 solve the equation​

Answer 1

Answer:

The value of y is 4

Step-by-step explanation:

Given:

$\sf{\dfrac{y-6}{2}}$ = $\sf{\dfrac{3-2y}{5}}$

★ Concept :-

Here, the concept of linear equation in one variable is used. According to the question, we need to find the value of y by using the method of cross-multiplication

Let's do it!!

$\sf{\dfrac{y-6}{2}}$ = $\sf{\dfrac{3-2y}{5}}$

On Cross-multiplication, you will get:

$\implies\sf{5(y-6) \: = \: 2(3-2y)}$

$\implies\sf{5y-30 \: = \: 6-4y}$

$\implies\sf{9y-30 \: = \: 6}$

$\implies\sf{9y \: = \: 36}$

$\implies\sf{y \: = \: \dfrac{36}{9}}$

$\bf{\mapsto\;\;\green{y=4}}$

Hence your equation is solved!!

Answer 2

Given:-

$\frac{y - 6}{2} = \frac{3 - 2y}{5}$

Explanation:-

$5(y - 6) = 2(3 - 2y)$

$5y - 30 = 6 - 4y$

$5y + 4y = 6 + 30$

$9y = 36$

$y = \frac{36}{9}$

$y = 4$