solve the following pair of linear equations in two variables using elimination method:x+3y-6=0,2x-y=0
Answers
Step-by-step explanation:
Given:-
pair of linear equations in two variables:x+3y-6=0,2x-y=0
To find:-
Solve the following pair of linear equations in two variables using elimination method:x+3y-6=0,2x-y=0
Solution:-
Given pair of linear equations are :
x+3y-6=0 --------(1) and
2x-y=0 ----------(2)
On multiplying the equation (1) with 2 for eliminating the variable x
2x+6y-12=0
2x +6y =12------(3)
On Subtracting the equation (1) from (3) then
2x+6y=12
2x- y =0
(-)
__________
0+7y = 12
__________
=7y = 12
=> y = 12/7
On Substituting the value of y in (2) then
2x - (12/7) = 0
=>2x = 12/7
=>x = (12/7)/2
=>x = 12/(7×2)
=>x = 12/14
=>x = 6/7
Therefore, x= 6/7 and y = 12/7
Answer:-
The solution for the given pair of linear equations in two variables is (6/7 , 12/7)
Check:-
If x= 6/7 and y = 12/7 then LHS of (1)
=>(6/7)+3(12/7)-6
=>(6/7)+(36/7)-6
=>(6+36-42)/7
=>(42-42)/7
=>0/7
=>0
=>RHS
LHS = RHS
and LHS of equation (2)
2(6/7)-(12/7)
=>(12/7)-(12/7)
=>(12-12)/7
=>0/7
=>0
=>RHS
LHS = RHS is true for x = 6/7 and y=12/7
Verified the given relations
Used method:-
- Method of Elimination.