Solving the Equation ##10ax+bx=22x##

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In summary, the conversation discusses the process of checking one's own work and the importance of learning this skill for test-taking. The person also seeks alternative ways of solving a problem and expresses frustration with not being able to validate their answer.
  • #1
chwala
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Homework Statement
See attached
Relevant Equations
simultaneous equations
1632307697683.png


I got ##22##,
i.e ##100ax+10bx+10ay+by=220x+22y##
→## 10ax+bx=22x##
→##10ay+by=22y##
→##10a+b=22##
 
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  • #2
Do you not know how to check your own work? You should not have to ask whether you got the right answer, you should be able to validate it on your own. Learning to do this is an essential skill for test-taking.
 
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  • #3
phinds said:
Do you not know how to check your own work? You should not have to ask whether you got the right answer, you should be able to validate it on your own. Learning to do this is an essential skill for test-taking.
Agreed the reason why i post is to seek alternative ways of doing it...
 
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  • #4
chwala said:
Agreed the reason why i post is to seek alternative ways of doing it...
And you expected us to be mind readers and KNOW that that was why you posted? Please be more explicit in what you are asking.
 
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FAQ: Solving the Equation ##10ax+bx=22x##

What is the equation ##10ax+bx=22x## and what does it represent?

The equation ##10ax+bx=22x## is a linear equation that represents a relationship between two variables, x and a. It is commonly used in algebra to solve for the value of x when given a specific value for a.

How do you solve the equation ##10ax+bx=22x##?

To solve this equation, you need to first combine like terms on the left side of the equation. This will result in the equation ##(10a+b)x=22x##. Then, divide both sides by (10a+b) to isolate x. The final solution will be ##x=0##.

What is the importance of solving equations like ##10ax+bx=22x##?

Solving equations like ##10ax+bx=22x## is important because it allows us to find the value of unknown variables in a given relationship. This can be useful in various fields such as physics, engineering, and economics.

Are there any specific rules or steps to follow when solving equations like ##10ax+bx=22x##?

Yes, there are certain rules and steps to follow when solving equations like ##10ax+bx=22x##. These include combining like terms, isolating the variable, and checking the solution to ensure it is valid.

Can equations like ##10ax+bx=22x## have multiple solutions?

No, equations like ##10ax+bx=22x## only have one solution. This is because the equation represents a linear relationship, which can only intersect the x-axis at one point. If there are multiple variables, there may be multiple solutions, but for this specific equation, there is only one solution.

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