Question

Q9 Rearrange the following so that y is the subject.
a(2y + 3z) = d( 2x + 3y)

Answer 1

$~~~~~~~a(2y+3z) = d(2x+3y)\\\\\implies 2ay+3az= 2dx+3dy\\\\\implies 2ay -3dy = 2dx -3az\\\\\implies (2a-3d)y = 2dx-3az\\\\\implies y = \dfrac{2dx-3az}{2a-3d}~~~~~~~~~~~~;[2a-3d \neq 0]$