Question

PLZ HELP DUE SOOOONNNN (solve for z).

Answer 1

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer 2

`{\huge{\green{\mathsf{z\:=\sqrt{(4x)/(3y)}}}}`

Explanation:

Given the algebraic equation,
`{\huge{\green{\mathsf{x\:=(3yz^2)/(4)}}}`, and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

`{\huge{\green{\mathsf{x\:=(3yz^2)/(4)}}}`

`{\huge{\green{\mathsf{(4)\:x\:=(3yz^2)/(4)(4)}}}`

4x = 3yz²

Next, divide both sides by 3y:

`{\huge{\green{\mathsf{(4x)/(3y)\:=(3yz^2)/(3y)}}}`

`{\huge{\green{\mathsf{(4x)/(3y)\:=z^2}}}`

Lastly, take the square root of both sides to isolate the variable, z :

`{\huge{\green{\mathsf{\sqrt{(4x)/(3y)}\:=√(z^2)}}}`

`{\huge{\green{\mathsf{z\:=\sqrt{(4x)/(3y)}}}}`

Therefore, the equation for z is:
`{\huge{\green{\mathsf{z\:=\sqrt{(4x)/(3y)}}}}`