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