vedic math
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By addition and by subtraction

Sankalana-Vyavakalanabhyam

Solve simultaneous equations by simply adding and subtracting them. When the equations are x + y = S and x − y = D, adding gives 2x and subtracting gives 2y, yielding both variables instantly.

How It Works

  1. 1.Given two equations: x + y = S and x − y = D.
  2. 2.Add the equations: (x+y) + (x−y) = S + D → 2x = S + D → x = (S+D)/2.
  3. 3.Subtract the equations: (x+y) − (x−y) = S − D → 2y = S − D → y = (S−D)/2.
  4. 4.Both variables are found in one step each.
  5. 5.Verify by checking x + y = S and x − y = D.

Examples

x+y=10, x−y=2
Step 1 / 5

Start with the system: x + y = 10 and x − y = 2.

Equation 1x + y = 10
Equation 2x − y = 2

Try It Yourself

x+y=24, x−y=8 → x = ?

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