Question

eliminate method 8x - 3y = 5xy; 6x - 5y = -2xy ​

Answer 1

Answer:

Step-by-step explanation:

divide both equations by xy

8x-3y=5xy/xy and 6x-5y=-2xy/xy

we have 8/y-3/x=5 and 6/y-5/x=-2

8(1/y)-3(1/x)=5 and 6(1/y)-5(1/x)=-2

let 1/y=m and 1/x=n

8m-3n=5 and 6m-5n=-2

(8m-3n=5)*5 and (6m-5n=-2)*-3

40m-15n=25 and -18m+15n=6

adding both equations

40m-15n=25

-18m+15n=6

we have ,22m=31

m=31/22

putting value of m in 6m-5n=-2

6*(31/22)-5n=-2

n=23/11

m=1/y and n=1/x

y=22/31 and x=11/23