Question

Ax-bx+y=z solve for x​

Answer 1

$\bold{Answer}$

$\boxed{\bold{x=\frac{z-y}{A-b};\quad \:A\ne \:b}}$

$\bold{Explanation}$

• $\bold{Solve: \ Ax-bx+y=z}$

$\bold{-------------------}$

• $\bold{Subtract \ Y \ From \ Both \ Sides}$

$\bold{Ax-bx+y-y=z-y}$

• $\bold{Simplify}$

$\bold{Ax-bx=z-y}$

• $\bold{Factor \ Ax-bx: \ x\left(A-b\right)}$

$\bold{x\left(A-b\right)=z-y}$

• $\bold{Divide \ Both \ Sides \ By \ A-b;\quad \:A\ne \:b}$

$\bold{\frac{x\left(A-b\right)}{A-b}=\frac{z}{A-b}-\frac{y}{A-b};\quad \:A\ne \:b}$

• $\bold{Simplify}$

$\bold{\frac{x\left(A-b\right)}{A-b}=\frac{z}{A-b}-\frac{y}{A-b};\quad \:A\ne \:b}$

$\boxed{\bold{Eclipsed}}$

Answer 2

Answer:

This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:

ax - bx = z - y

Then, we take x out as it is being multiplied to both a and b:

x(a - b) = z - y

Dividing (a - b) on both sides, we get:

x = (z - y) / (a - b)

Thus, the answer is x= z-y/a-b

Step-by-step explanation: