Question

Ax-bx+y=z solve for x

Answer 1

The solution for x will be:

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

Explanation:

Given the expression

`ax-bx+y=z`

subtract y from both sides

`ax-bx+y-y=z-y`

simplify

`ax-bx=z-y`

Factor ax-bx = x(a-b)

`x\left(a-b\right)=z-y`

Divide both sides by a-b; a≠b

`(x\left(a-b\right))/(a-b)=(z)/(a-b)-(y)/(a-b);\quad \:a\\e \:b`

simplify

`x=(z-y)/(a-b);\quad \:a\\e \:b`

Therefore, the solution for x will be:

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

Answer 2

x = (z - y)/(a - b)

General Formulas and Concepts:

Algebra I

• Equality Properties
• Factoring

Explanation:

Step 1: Define

ax - bx + y = z

Step 2: Solve for x

1. Subtract y on both sides: ax - bx = z - y
2. Factor GCF: x(a - b) = z - y
3. Isolate x: x = (z - y)/(a - b)