To use the Balance Method for solving linear equations, we need to remember to keep both sides of the equation equal. Think of it like a balance scale: if you add weight on one side, you have to add the same weight on the other side to keep it even.
Here’s how to do it:
Start with the Equation: Let's look at an example. Imagine we have the equation (3x + 5 = 14).
Isolate the Variable: Our goal is to get (x) by itself. First, we need to get rid of the (5) on the left side. We do this by subtracting (5) from both sides: [ 3x + 5 - 5 = 14 - 5 ] This simplifies to (3x = 9).
Divide to Solve for (x): Now, we divide both sides by (3) to find out what (x) is: [ \frac{3x}{3} = \frac{9}{3} ] So, (x = 3).
In summary:
With practice, you’ll get better at using this method to solve different linear equations!
To use the Balance Method for solving linear equations, we need to remember to keep both sides of the equation equal. Think of it like a balance scale: if you add weight on one side, you have to add the same weight on the other side to keep it even.
Here’s how to do it:
Start with the Equation: Let's look at an example. Imagine we have the equation (3x + 5 = 14).
Isolate the Variable: Our goal is to get (x) by itself. First, we need to get rid of the (5) on the left side. We do this by subtracting (5) from both sides: [ 3x + 5 - 5 = 14 - 5 ] This simplifies to (3x = 9).
Divide to Solve for (x): Now, we divide both sides by (3) to find out what (x) is: [ \frac{3x}{3} = \frac{9}{3} ] So, (x = 3).
In summary:
With practice, you’ll get better at using this method to solve different linear equations!