Solve the pair of linear equations 3x-4y=18 nad 2x-5y=-11 by elimination method
Answers
Step-by-step explanation:
Given:-
the pair of linear equations 3x-4y=18 nad 2x-5y=-11
To find:-
Solve the pair of linear equations 3x-4y=18 nad 2x-5y=-11 by elimination method?
Solution:-
Given pair of linear equations are
3x - 4y = 18 -------------(1)
2x - 5y = -11 ------------(2)
On multiplying (1) with 2 then (1) becomes
6x - 8y = 36 -------------(3)
On multiplying (2) with 3 then (2) becomes
6x - 15y = -33 -----------(4)
On Subtracting (3) from (4) for eliminating the term "x" then
6x - 15y = -33
6x - 8y = 36
(-)
_____________
0-7y = -69
_____________
-7y=-69
=>y= -69/-7
Therefore, y = 69/7
On Substituting the value of y in (1) then
=>3x - 4(69/7) = 18
=>3x - 276/7 = 18
=>(21x -276)/7 = 18
=>21x - 276 = 18×7
=>21x - 276 = 126
=>21x = 126+276
=>21x = 402
=>x = 402/21
=>x = 134/7
The value of x = 134/7
The value of y = 69/7
Answer:-
The solution for the given pair of linear equations is ( 134/7 , 69/7 )
Check:-
Given pair of linear equations are
3x - 4y = 18 -------------(1)
2x - 5y = -11 ------------(2)
we have x = 134/7 and y = 69/7
LHS in (1)
3x - 4y
=>3(134/7) - 4(69/7)
=>(402/7) - (276/7)
=>(402-276)/7
=>126/7
=>18
=>RHS
LHS = RHS is true for x and y
LHS in (2)
2x - 5y
=>2(134/7) - 5(69/7)
=>(268/7) - ( 345/7)
=>(268-345)/7
=>-77/7
=> -11
=>RHS
LHS = RHS is true for x and y
Verified the given relations
Answer:
Step-by-step explanation:
Solve the pair of linear equations 3x+4y=18 and 2x-5y=-11 by the method of elimination answer