Question

Make Y the subject
x(3y+2z)=y(5x-z)​

Answer 1

y =
`(2xz)/(2x - z)`

Explanation:

x(3y + 2z) = y(5x -z) Distribute the x

3xy + 2xz = y(5x - z) Rearrange so that all the y terms are on the left side of the equal sign

3xy + 2xz - y(5x - z) = 0 Subtract 2xz to both sides

3xy - y(5x - z) = -2xz Factor out the y on the left side

y(3x -5x + z) = -2xz Combine like terms

y(-2x + z) = -2xz Divide both sides by -2x + z

y =
`(-2xz)/(-2x + z)` Factor out a negative 1

y =
`((-1) 2xz)/((-1)(2x - z))`

y =
`(2xz)/(2x - z)`

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