Weekly Math Problem #53

Rational Equation. (Why is it that when I am intentional about trying to simplify things in my life, my life gets more complicated? 😕🙄😩 Arghhhh! Before I digress more, let me focus.) I'm just taking it back to a classic topic that many don't like...and I don't blame them. FRACTIONS! Not just fractions but, fractions in an equation. I know, I know... L👀k, it wasn't my idea to put fractions and equations together but, it was my idea to make it this week's WMP! Why? Because we can do it and, it helps us to keep fundamental math skills sharp. Let's go!

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     How to solve an equation with fractions

WMP! #53 wants us to...

Happy solving!

Check back on Friday, June 11th for the solution, which will be posted below ⬇️.

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Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

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Ready? Let's go. 🏃🏿‍♀️ 

There are a couple of options here--either convert all of the fractions to have the same denominator or, make all of the denominators disappear. I am the type of person to do the latter. Lots of people don't like working with fractions. Nothing wrong with that...I totally get it. The good news is that you don't have to; you can "make them disappear".  😁  To make the fractions disappear, You need to find the LCD (least common denominator) for the fractions in the problem. 

Once the LCD has been found, use it to make the fractions disappear. How? Glad you asked. Multiply every fraction in the equation by the LCD. Then solve the resulting linear equation.

Let's check the solution...just in case a mistake was made in solving. 😉

And that's a wrap! 

▪️ How did you solve this week's problem??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thanks for solving with me this week!

Up next, WMP! #54. 😅

Cheers!

The Younge Lady

Weekly Math Problem! #9

Solving A Rational Equation. I definitely get why people don't like fractions. They can be super annoying to deal with, especially when the fractions have variables in them. 🙄 Plus, mathematics has a few stipulations concerning fractions that must not be ignored--like the denominators having to be the same before being able to add/subtract them. I guess...🤷🏿...lol.

If you don't like basic fractions, then you're surely not gonna like this week's problem. And you know what? You have every right not to like it. L👀k below to see why I said what I said.

To solve this week's problem in completion, you need to recall the following math skills:

    ✔️  Methods for solving rational equations

    ✔️  Factoring polynomials

    ✔️  Multiplying binomials

Alrighty...here is WMP! #9...

Happy solving! 

Check back on Friday, July 3rd for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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I'm definitely a fan of getting rid of fractions when solving rational equations. As you can see, the original equation was reduced to solving a quadratic equation, which yielded distinct roots. ⚠️ CHECK YOUR SOLUTION(S)! ⚠️ Even though the quadratic yielded two roots, there is no guarantee that those roots will be the solutions for the original rational equation. They are potential solutions, awaiting your check for them to be verified solutions. My check is below. You don't have to check "by hand" like I did below. (I did it like that to keep my skills sharpened.) Feel free to use a calculator or mathematics software to aid you in checking the solution. (Of course, the tool you choose to use will depend on the situation you're in.) 

However you choose to check the potential solutions, you should find that both of them satisfy the original rational equation. 👍🏿

◾️ How you handle rational equations??

◾️ When was the last time you even solved an equation like this??

◾️ Comment below with your responses and let me know what you thought about this week's problem.

Wow...we're close to WMP! #10 😲

Cheers!

The Younge Lady