Question

Solve, using cross multiplication method: 2x+3y-17=0 and 3x-2y-6=0​

Answer 1

Answer:

$x = 4 \\ y = 3$

Step-by-step explanation:

$2x + 3y = 17 \\ 2x = 17 - 3y \\ 51 - 9y - 4y = 12 \\ 51 - 13y = 12 \\ 13y = 39 \\ y = 3 \\ put \: the \: value \: of \: y \\ 3x - 2y = 6 \\ 3x - 6 = 6 \\ 3x = 12 \\ x = 4$

$y = 3$

on put the value of y

in equation 2nd

$3x - 2y = 6 \\ 3x - 6 = 6 \\ 3x = 6 + 6 \\ 3x = 12 \\ x = 4$

Answer 2

Step-by-step explanation:

2x +3y - 17 =0

3x - 2y - 6 =0

b¹ c¹ a¹ b¹

b² c² a² b²

3 - 17 2 3

-2 - 6 3 - 2

x y 1

_________ = ________ =______

3(-6)-(-2)(-17) - 17(3)-(-6)(2) 2(-2)-3(3)

x y 1

____ =______ =________

-18-34 -51+12 - 4 -9

x y 1

___ =___ =____

-52 - 39 - 13

x 1

__ = __

-52 - 13

-13x = - 52

x = - 52/-13

x = 4

y 1

__ = __

-39 - 13

-13y = - 39

y = - 39/-13

y = 3

Therefore the value of x =4 and y =3