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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

Respuesta :

To solve

[tex]3(2x+y)=5y+3,[/tex]

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

[tex]3\cdot2x+3y=5y+3.[/tex]

Simplifying we get:

[tex]6x+3y=5y+3.[/tex]

Now, we subtract 6x from the above equation:

[tex]6x+3y-6x=5y+3-6x\text{.}[/tex]

Simplifying we get:

[tex]3y=5y-6x+3.[/tex]

Subtracting 5y, we get:

[tex]\begin{gathered} 3y-5y=5y-6x+3-5y, \\ -2y=-6x+3. \end{gathered}[/tex]

Finally, dividing by -2, we get:

[tex]y=\frac{-6x+3}{-2}=\frac{6x-3}{2}\text{.}[/tex]

Answer:

[tex]y=\frac{6x-3}{2}\text{.}[/tex]

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