Question

3(2x+y)=7xy; 3(x+3y)=11xy by elemination method
​

Answer 1

Answer:

x = 1 and y = 3/2

Step-by-step explanation:

3(2x+y) = 7xy

6x + 3y = 7xy ---------(1)

3(x+3y) = 11xy

3x + 9y = 11xy ---------(2)

on multiply by 3 in eq 2

2(3x + 9y = 11xy)

6x + 18y = 22xy -------(3)

on subtract eq 1 and 3

6x + 3y = 7xy

6x + 18y = 22xy

- - -

-15y = -15xy

15y = 15xy

15y/15y = x

1 = x

put x in eq 1

6x + 3y = 7xy

6(1) + 3y = 7(1)y

6 + 3y = 7y

6 = 7y - 3y

6 = 4y

6/4 = y

3/2 = y