What does it mean?

This Vedic Mathematics sutra applies when solving simultaneous linear equations of the form: a_1x+b_1y=c_1
a_2x+b_2y=c_2 If the coefficients of one variable (say, y) and the constants are in the same ratio, then the other variable (here, x) is zero.

The Method

• Given 2 linear equations
• 3x+7y=2
  4x+21y=6
• - Coefficients of y: 7:21=1:3
• Constants: 2:6=1:3
• Since both are in the same ratio, by the sutra, the other variable x=0.
• Now substitute x=0 into either equation:7y=2 => y=\frac{2}{7}
• Solution: x=0,y=\frac{2}{7}