Equations with variables on both sides worksheet
If you are an algebric equations lover then you must practice these solving equations with variables on both sides worksheet. In these worksheets, you will find the variables on both sides of the equal sign. By solving these algebric equations, you can improve you problem solving skills and enhance critical thinking.
By regular practice of these equations with variables on both sides worksheet students can improve their understanding of fundamental skiils in algebra.
Example related to Equations w/ variable on both sides
Students can solve these problems by isolating the variables on one side of the equation and at the end, they have to simplify the remaining equation to find the solution.
Lets solve some examples telated to both sides variables equation step by step:
Example 1: Solve this equations for variable “x”. 3x + 5 = 2x – 7
In above example, we can see that variable “x” is present both side of the equal sign.
Now, we want to rearrange the variable “x” terms on one side of the equation.
(i) We can move 2x from Right hand side (R.H.S) to Left hand side (L.H.S)
3x + 5 -2x = -7
x + 5 = -7
x = (-12)
(ii) Other way, we can substract 2x from both side of the equation
3x + 5 – 2x = 2x – 7 – 2x
x + 5 = -7
Now to isolate “x” we have to subtract “5” from both sides
x + 5 – 5 = -7 – 5
x = (-12)
Example 2: 6y – 7 = 2y + 21 (get the value of variable “y”)
First, we want to get the all “y” terms on the one side of the equation. So, we have to subtract 2y from both sides of the equation.
6y – 7 – 2y = 2y + 21 – 2y
4y – 7 = 21
Simplify it.
4y = 28
We have to isolate “y” term, both side divide by 4
4y ÷ 4 = 28 ÷ 4
y = 7
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FAQs
1. First, you have to get all variable terms on one side of the equation.
2. After that you have to perform addition/subtraction/multiplication/division operations as per requirement.
3. Then you have to isolate variable.
4. Last step – You have to simplify the equation to find the solution.
By using different type of operations to solving equations with variables on both sides worksheet.
1. Reaaranging Laft hand side (L.H.S) and Right hand side (R.H.S) of the equation.
2. Use inverse operations.
3. Undo multiplication or division.
4. Other special opetarions – Read full article
Equivalent equation.