Notifications
Clear all
Pair of Linear Equations in Two Variables
1
Posts
2
Users
0
Likes
225
Views
0
28/05/2021 10:37 am
Topic starter
Solve the following pairs of equations by reducing them to a pair of linear equations:
4/x + 3y = 14
3/x -4y = 23
1 Answer
0
28/05/2021 10:38 am
Putting in the given equation we get,
So, 4m + 3y = 14
=> 4m + 3y – 14 = 0 ……………..…..(1)
3m – 4y = 23
=> 3m – 4y – 23 = 0 ……………….(2)
By cross-multiplication, we get,
m/(-69-56) = y/(-42-(-92)) = 1/(-16-9)
-m/125 = y/50 = -1/ 25
-m/125 = -1/25 and y/50 = -1/25
m = 5 and b = -2
m = 1/x = 5
So , x = 1/5
y = -2