If you’re interested in being able to solve two step equations without any issues, simply learn how to use the simple, fuss free, two step equation which is outlined below.
How to confidently solve two step equations with integers:
Shift all your data that doesn’t have the variable, which you’re looking to the opposite side of your equation.
Remember that whatever you do to one side of your equation, you’ll need to do to the opposite to the other side of your equation. As an example if you use a + side on the left side of your equation, you’ll need to place a – side on the right side of your equation.
An example of a simple two step equation:
If you’re still not confident about your ability to use a two step equation in order to be able to solve a simple equation, it may help to work through an example exercise. Let’s start off with a fairly simple equation, that is fairly easy to solve but will allow you to confidently test out your knowledge of both of the two steps which you read about above.
The test equation which we will be working with is 4x+3=7. To find the value of x, make sure to follow the directions which were explained in the previous paragraph.
As you know your first step should be to shift all of your data that doesn’t have the variable which you’re looking for, to the opposite side of your equation. In our example you need to subtract three from both sides of your equation. You should have written down 4x+3-3=7-3, which should then give you 4x=4.
Now you’ll need to go about diving each side of your formula by 4. The process which you should write down now is 4x/4=4/4 and x=1. If the answer which you worked out is different, simply go back to step one and double check all of the processes which you used, to make sure that you didn’t make a simple error, which you’ll easily be able to correct.
An extra example to work through:
In order to cement the information which you have just learned, it’s a great idea to work through one more example. This time the two step equation which you’ll need to solve is 3x to the power of 3+4=28. To find the value of x, simply work through the simple two step instructions, which you have been learning to follow.
Again, begin by isolating the given variable in your equation. You should have written down 3x to the power of 4-4=28-4 and 3x to the power of 4=24.
Lastly to find the value of x you’ll need to divide each side by 3. Your notes should now show 3x to the power of 3/3=24/3. X to the power of 3=8. Now write down the cube root for each side and you should get your answer, x=2.
Again, if you didn’t obtain the same answer, simply work through the two step by step instructions listed above again.