(1) Solve the following simultaneous equations :
4x + 3y = 11; 3x + 4y = 10.
Answers
Answered by
29
Step-by-step explanation:
Given:-
4x + 3y = 11; 3x + 4y = 10.
To find:-
Solve the following simultaneous equations :
4x + 3y = 11; 3x + 4y = 10.
Solution:-
Given pair of linear equations are
4x + 3y = 11-----(1)
3x + 4y = 10----(2)
Adding both (1)&(2)
4x +3y = 11
3x + 4y =10
(+)
__________
7x +7y =21
_________
=>7x +7y=21
=>7(x + y)=21
=>x + y =21/7
x + y = 3------(3)
On subtracting (2) from (1)
4x +3y =11
3x +4y =10
(-)
_________
x -y = 1-----(4)
_________
on adding (3)&(4)
x + y =3
x -y =1
(+)
_______
2x +0 = 4
_______
=>2x=4
=>x =4/2
=>x =2
Substituting the value of x in (3) then
=>2 + y =3
=>y = 3-2
=>y=1
x=2 and y=1
Answer:-
The solution for the given problem is (2,1)
Answered by
0
Step-by-step explanation:
answer
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