814 Math Blog (2015)

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Hello guys, my name is Stefi and today I will be showing you how to do two-step equation solving. 

Here is an example question:

4y-9=15

4 is the coefficient

y is the variable

9 is the constant

15 is the answer

The first thing you have to do is isolate the constant, by doing that you have to do the opposite signs. So if it is -9 you have to do +9 and vise-versa. You have to do it to both sides of the equal sign to keep the equation balanced.

4y-9+9=15+9

Since you isolated the constant you now have to solve the equation, so negative 9 plus 9 is zero. So you are now left with 4y on the left hand side. Now you solve the right hand side, so 15+9 is 24. Now write it all down.

4y-9+9=15+9

4y=24

Now to isolate the variable you have to divide both sides by the coefficient, in this case it is 4. So divide both sides by 4. 

Homework: "Books Never Written" in your algebra book #3. :)

      If you're SEVERELY struggling on solving algebraic equations like this and have the iconic 'Kim Kardashian crying face' all day and everyday, I'm here to show you how to solve fractional equations. But in order to solve these kinds of algebraic equations, you must know:

10y + 8y = 15

    If there are two variables or more in one equation,you must find whether the coefficients are negative or positive. In this question, both coefficients are positive. You then add the two coefficients to make one coefficient. And if your answer includes an addition, subtraction, multiplication, or division statement, you solve that first. Those are called like terms.

18y = 15

   Second, you divide both numbers by the coefficient.

  18 y  =   15 

                                                                         18          18

   Once you have divided both numbers by its coefficient, this is where it is the same to your variable. But when you divide 15 by 18, you won't get an even number. So you find 15 and 18's lowest term,which is 3.

 y =   15   divided by   3 

                                                                       18                       3

    15 divided by 3 is 5, and 18 divided by 3 is 6.Here, you just simplified your answer.

  5 

6

      d    =   7 

                                                                              5        5

   In this equation, this is where fractions need fractions. 

      Try to simplify the question by first putting:

                                                                              1   d =  7 

                                                                              5           5

    

     You then divide the fractions by - 1/5. Beside the 1/5 you divide by 5.

    1   d =   7 

                                                                            5           5    

                                                                          -1             -1      divided by 5

                                                                           5              5

     Basically, you are removing, dividing, and making it multiply by the fractions.

     Next you put: d =    -7   or -7

                                     1

     Last but not least, you are going to multiply by the negative sign that was left. The negative sign also means (-1). With those fractions that are left, you multiply that with the negative sign. And you have 7/5.

(-1) -7  =   7 

                                                                                5       5

     

If you want to learn more about solving these kinds of algebraic equations, I suggest you to watch this video! And I hope you don't have the iconic 'Kim Kardashian crying face' anymore after reading this! :)