Question

2x+3y=5y+2x+5 find y=?

Answer 1

Hey there!

Given equation to us : $\bf{2x + 3y = 5y + 2x + 5}$.

To solve this and find the value of the variable "y", simply isolate that variable that is finding the value for "y".

Now, subtract the valued variable "2x" from left and right hand sides we get:

$\bf{2x + 3y - 2x = 5y + 2x + 5 - 2x}$

Simplify and cancel out the like terms or similar values that is "2x - 2x = 0" from both the sides.

$\bf{3y = 5y + 5}$

Now, Subtract the valued variable of isolated value "y" that is "5y" from both the sides.

$\bf{3y - 5y = 5y + 5 - 5y}$

Cancel out similar term "5y - 5y = 0" and Subtract dissimilar terms of same variables "3y - 5y = - 2y" from both the sides.

$\bf{- 2y = 5}$

Divide both sides by the value of "- 2" to obtain the final solution of isolated or desired variable "y".

$\bf{\frac{- 2y}{- 2} = \frac{5}{- 2}}$

Cancel out similar or like values.

$\boxed{\bf{y = - \frac{5}{2}}}$

Which is the required solution for this type query.

Hope this helps you and solves the doubts for finding variable values!