10=ax+bx solve for x
With steps please
1 answer:
Answer:
![\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}](https://tex.z-dn.net/?f=%5Cdisplaystyle%2010%20%3D%20ax%20%2B%20bx%20%5Crightarrow%20x%20%3D%20%5Cfrac%7B10%7D%7Ba%20%2B%20b%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
![\displaystyle 10 = ax + bx](https://tex.z-dn.net/?f=%5Cdisplaystyle%2010%20%3D%20ax%20%2B%20bx)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Factor:
![\displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)](https://tex.z-dn.net/?f=%5Cdisplaystyle%2010%20%3D%20ax%20%2B%20bx%20%5Crightarrow%2010%20%3D%20x%28a%20%2B%20b%29)
- [Division Property of Equality] Divide a + b on both sides:
![\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}](https://tex.z-dn.net/?f=%5Cdisplaystyle%2010%20%3D%20ax%20%2B%20bx%20%5Crightarrow%20x%20%3D%20%5Cfrac%7B10%7D%7Ba%20%2B%20b%7D)
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