Question

Make y the subject...​

Answer 1

y = qx/p -qr

Explanation:

To solve for a variable, you must undo the operations done to the variable. Here, the variable is divided by a negative number (-q), and the result is added to another term (x/p).

We undo the addition by adding the opposite of the term that is added:

`(x)/(p)-(x)/(p)-(y)/(q)=r-(x)/(p)\qquad\text{add $-(x)/(p)$}\\\\-(y)/(q)=r-(x)/(p)\qquad\text{simplify}`

We undo the division by multiplying by the reciprocal of the coefficeint, -q.

`\left(-(y)/(q)\right)(-q)=\left(r-(x)/(p)\right)(-q)\qquad\text{multiply by $-q$}\\\\\boxed{y=-qr+(qx)/(p)}\qquad\text{simplify}`