How do we balance equations in algebra?

 

How do we balance equations in algebra?

An equation is basically saying that two things (expressions, to be exact) are EQUAL.

Since in a balanced situation the two sides of the balance hold equal weight.

Here, in this algerbric equation , we need to do this:

1. Add the same amount to BOTH sides

2. Take away the same amount from BOTH sides

x+3=5 — (i)

x =5–3.

x=2.

if we add 2 in equation (i) it will balanced.

5=5

Combining the operations:-

Like addition , multiplication , subtraction , divide.

The allowed operations are:

• Add the same amount to both sides (either x's or ones)
• Subtract the same amount from both sides (either x's or ones)
• Multiply both sides by the same number (but not by zero)
• Divide both sides by the same number (but not by zero)

→Addition.

4=4

add the same amount on both side.

4+2=4+2

→Division.

4x+2=8x+2 — (ii)

if , we need to simplify the equation divide it by same number on both sides.

2x+1=4x+1.

Add the amount to balance the equation:-

25+20=45.