Question

How would i solve y=x+z/a-x and solve for x

Answer 1

`(ya-z)/(1+y) = x`

Explanation:

`y=(x+z)/(a-x)`

Use cross multiplication

y ( a - x) = x + z

Solve the brackets.

y a - y x = x + z

y a - y x - z = x

y a - z = x + y x

y a - z = x ( 1 + y )

Divide both sides by ( 1 + y ).

`(ya-z)/(1+y) = x`

Answer 2

ya-z/1+y

Explanation:

Making x the subject of the formula;

y=x+z/a-x

Cross multiply

y(a-x) = x+z

ya - yx = x+z

Collect like terms

x+yx = ya - z

x(1+y) = ya - z

x = ya-z/1+y

Hence the value of x is ya-z/1+y