Question

solve by the method of cross multiplication
6x-7y+12=0 ; 7x-4y-11=0​

Answer 1

Step-by-step explanation:

Let us solve the given equations using method of cross multiplication:

The coefficients of x are 6 and 7.

The coefficients of y are -7 and -4.

The constant terms are 12 and -11.

The table can be formed as:

Method of Cross Multiplication

x/(B1 C2 − B2 C1) = y/(C1 A2−C2 A1) = 1/(A1 B2 − A2 B1)

On substituting respective values, we get:

x/(((-7)×(-11)) − (12×(-4))) = y/((12×7)−((-11)×6)) = 1/((-4)×6)-(-7)(7))

x/125 = y/150 = 1/25

Equating x term with constant term, we get x = 125/25 = 5

On equating y term with constant y term, we get y = 150/25 = 6