5/x + 6y =3 and -5/x + 3y =6
chapter:- Pair of Linear Equations in two Variables
Answers
Answer:
Step-by-step explanation:
add both eq.
9y = 9
y = 1
put y in eq 1
5/x + 6(1) = 3
5/x = 3 - 6
5/x = -3
5 * -3 = x
x = -15
Step-by-step explanation:
Given :-
5/x + 6y =3
-5/x + 3y =6
To find :-
Solve the equations ?
Solution :-
Given equations are :
5/x + 6y =3 ----------(1)
-5/x + 3y =6---------(2)
Put 1/x = a then
5a + 6y = 3 ---------(3)
-5a + 3y = 6 --------(4)
On adding (3)&(4) then
5a + 6y = 3
-5a + 3y = 6
(+)
___________
0 + 9y = 9
___________
=> 9y = 9
=> y = 9/9
=> y = 1
On Substituting the value of y in (3)
=> 5a +6(1) = 3
=> 5a +6 = 3
=> 5a = 3-6
=> 5a = -3
=> a = -3/5
now
a = -3/5
=> 1/x =-3/5
=> x = -5/3
Therefore, x = -5/3 and y = 1
Solution :-
Solution for the given equations is ( -5/3,1)
Check:-
If x = -5/3 and y = 1 then
LHS of equation (1) = 5/x+6y
=> [5/(-5/3) ]+ 6(1)
=> (-15/5 )+ 6
=> -3+6
=> 3
=> RHS
LHS = RHS
LHS of equation (2)
=>-5x+3y
=>[ -5/(-5/3)] +3(1)
=> (15/5) + 3
=> 3+3
=> 6
=> RHS
LHS = RHS
Verified the given relations in the given problem.
Used Method:-
- Reducible to linear equations