Question

solve the pair of linear equation 2x+3y=7 and 6x-5y=11 by cross multiplication method ​

Answer 1

x = 17/7 , y = 10/9

Hope that my answer will help you

Thank you for question

#answerwithquality

#BAL

Answer 2

$x=\frac{17}{7},y=\frac{5}{7}$

Step-by-step explanation:

$2x+3y=7$

$2x+3y-7=0$..(1)

$6x-5y-11=0$...(2)

Cross multiplication method  for two equations

$a_1x+b_1y+c_1=0$

$a_2x+b_2y+c_2=0$

$\frac{x}{b_1c_2-b_2c_1}=\frac{y}{c_1a_2-c_2a_1}=\frac{1}{a_1b_2-a_2b_1}$

We have

$a_1=2,b_1=3,c_1=-7$

$a_2=6,b_2=-5,c_2=-11$

Substitute the values in the formula

$\frac{x}{3(-11)-(-5)(-7)}=\frac{y}{-7(6)-(-11)(2)}=\frac{1}{2(-5)-6(3)}$

$\frac{x}{-33-35}=\frac{y}{-42+22}=\frac{1}{-10-18}$

$\frac{x}{-68}=\frac{y}{-20}=\frac{1}{-28}$

$\frac{x}{-68}=\frac{1}{-28}$

$x=\frac{-68}{-28}=\frac{17}{7}$

$\frac{y}{-20}=\frac{1}{-28}$

$y=\frac{-20}{-28}=\frac{5}{7}$

Hence, the solution of pair of the linear equation

$x=\frac{17}{7},y=\frac{5}{7}$

#Learns more:

https://brainly.in/question/4459062:Answered by Hukam