Question

Hi, I'm struggling with solving Linear equations and formula, e.g. 3(2x +y) =5y + 3 for Y? Can you assist me with the specific step to arrive at the answer? Thanks

Answer 1

To solve

`3(2x+y)=5y+3,`

for y. First, we apply the distributive property on the left of the equation:

`3\cdot2x+3y=5y+3.`

Simplifying we get:

`6x+3y=5y+3.`

Now, we subtract 6x from the above equation:

`6x+3y-6x=5y+3-6x\text{.}`

Simplifying we get:

`3y=5y-6x+3.`

Subtracting 5y, we get:

`\begin{gathered} 3y-5y=5y-6x+3-5y, \\ -2y=-6x+3. \end{gathered}`

Finally, dividing by -2, we get:

`y=(-6x+3)/(-2)=(6x-3)/(2)\text{.}`

Answer:

`y=(6x-3)/(2)\text{.}`