Respuesta :

Space

Answer:

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

General Formulas and Concepts:

Algebra I

  • Equality Properties
  • Factoring

Step-by-step 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)
absor201

Answer:

The solution for x will be:

[tex]x=\frac{z-y}{a-b}[/tex]

Step-by-step explanation:

Given the expression

[tex]ax-bx+y=z[/tex]

subtract y from both sides

[tex]ax-bx+y-y=z-y[/tex]

simplify

[tex]ax-bx=z-y[/tex]

Factor ax-bx = x(a-b)

[tex]x\left(a-b\right)=z-y[/tex]

Divide both sides by a-b;  a≠b

[tex]\frac{x\left(a-b\right)}{a-b}=\frac{z}{a-b}-\frac{y}{a-b};\quad \:a\ne \:b[/tex]

simplify

[tex]x=\frac{z-y}{a-b};\quad \:a\ne \:b[/tex]

Therefore, the solution for x will be:

[tex]x=\frac{z-y}{a-b}[/tex]

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