6x -5y +2 =0 , 5x- 6y +9=0 . By elimination method
Answers
Answer:
The value of x and y are 3 and 4 respectively.
Step-by-step explanation:
Given, equations are 6x - 5y + 2 = 0 equation(1)
5x - 6y + 9 = 0 equation(2)
we need to find the values of x and y by elimination method.
Sol: on multiplying the equation(1) by 6 and the equation(2) by 5, we get
36x - 30y + 12 = 0 equation(3)
25x - 30y + 45 = 0 equation(4)
on subtracting equation(4) from equation(3), we get
25x - 36x + 45 - 12 = 0
-11x + 33 = 0
11x = 33
x = 3
on putting the value of x in equation(1)
6 x 3 - 5y + 2 = 0
18 - 5y + 2 = 0
20 - 5y = 0
5y = 20
y = 4
Thus, the value of x and y are 3 and 4 respectively.