Understanding Equation Conversion: Step-by-Step Guide for Combining Equations

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In summary, in the conversation, the person is reading a book and is having trouble understanding the process of changing equation A into equation B. They ask for a step-by-step explanation and someone responds by explaining that multiplication does not require distribution and providing an example. They then explain the process of changing the equation by simplifying the fractions and multiplying the copies of d1. The person thanking them for the clear explanation.
  • #1
iqbal7
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I am reading this in a book and am having trouble understanding this.

Can someone explain the step by step the process in changing equation A into equation B?


Mrc= 2/3Pcb x b x 1/2d1 x 3/4d1

= 1/4Pcb x b x (d1)2



Many Thanks
 
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  • #2
iqbal7 said:
I am reading this in a book and am having trouble understanding this.

Can someone explain the step by step the process in changing equation A into equation B?


Mrc= 2/3Pcb x b x 1/2d1 x 3/4d1

= 1/4Pcb x b x (d1)2



Many Thanks


It is almost impossible to understand what you wrote (for me it is completely impossible). Please do learn how to use LaTeX within this site to write mathematics.

DonAntonio
 
  • #4
It made perfect sense,

Remember that multiplication, does not require any distribution, that is, some students write

A(BC)=(AB)(AC). This is wrong. They are thinking of A(B+C)=AB+AC.

So multiplication only needs to happen once.

you have a copy of 2/3, 1/2 and 3/4. Take the first two 2/3 and 1/2, their product is 1/3.

Then 1/3 times 3/4 is 1/4. They also have two copies of d1, so that is (d1)^2.

I'm assumig by d1, you meant d[itex]_1[/itex]
 
  • #5
Thanks Algebrat,

You have explained it very clearly, and now I understand.
 

FAQ: Understanding Equation Conversion: Step-by-Step Guide for Combining Equations

What is the purpose of combining equations?

Combining equations allows us to simplify and solve problems more efficiently. It helps us find a single solution rather than multiple solutions, making it easier to understand and interpret the results.

What are the steps to combine equations?

The first step is to identify common terms in the equations and group them together. Then, use the appropriate operations (addition, subtraction, multiplication, or division) to combine the terms. Finally, solve for the variable to get the final solution.

Can any type of equations be combined?

Yes, as long as they contain the same variables and are in the same form (linear, quadratic, etc.), they can be combined. However, some equations may require more advanced techniques to combine, such as substitution or elimination.

What are some common mistakes when combining equations?

Some common mistakes include forgetting to distribute a negative sign, making arithmetic errors, and not following the correct order of operations. It is important to double-check your work and use parentheses when necessary to avoid mistakes.

Are there any tips for solving equations using the combination method?

Yes, it can be helpful to write out all the equations in a system and identify which terms are common. It is also important to keep track of your work and check your answers by plugging them back into the original equations. Practice and familiarizing yourself with different types of equations can also improve your skills in combining equations.

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