Question

what is cross multiplication method?​

Answer 1

In Maths, cross multiplication method is used to solve linear equation in two variables. This is the simplest method and gives the accurate value of the variables. Cross multiplication is only applicable when we have a pair of linear equations in two variables.

Let us suppose that

$a _{1} x + b _{1} y + c _{1} = 0 \: and \: a _{2} x + b _{2} x + c _{2} = 0$

are the two equations which has to be solved.

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Answer 2

In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

The method is also occasionally known as the "cross your heart" method because lines resembling a heart outline can be drawn to remember which things to multiply together.

Given an equation like

$\frac{a}{b} = \frac{c}{d}$

where b and d are not zero, one can cross-multiply to get

$ad = bc \: \: or \ \: a = \frac{bc}{d}$

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