Solving Equations by Transposing the Terms - Worksheet: Level1 - 14 || Class 8 || AP & TS

#class7 #class8 #class9 #class10 #mathematics #ap #ts #worksheet
Solving Equations by Transposing the Terms:
------------------------------------------------------------------------

Solving equations by transposing the terms is a method of isolating a variable on one side of the equation by moving other terms to the opposite side. This is done by adding or subtracting the same term from both sides of the equation. The key is to maintain the equality of the equation while isolating the variable.

For example, to solve the equation 2x + 3 = 7 for x, we would start by subtracting 3 from both sides:
2x + 3 - 3 = 7 - 3
2x = 4

Then we divide both sides by 2 to get the value of x:
2x / 2 = 4 / 2
x = 2

So the solution to the equation is x = 2.

Another example, to solve the equation 5y - 2 = 12 for y, we would start by adding 2 to both sides:
5y - 2 + 2 = 12 + 2
5y = 14

Then we divide both sides by 5 to get the value of y:
5y / 5 = 14 / 5
y = 2.8

So the solution to the equation is y = 2.8

This method can also be used to solve equations with more than one variable by isolating one variable at a time.

It's important to note that when solving equations by transposing the terms, you should always check your solution by substituting it back into the original equation and verifying that it makes the equation true.

Indian Servers University