3x+2y=-5 ; x+4y=-5 by substitution method
Answers
Step-by-step explanation:
Given :-
3x+2y = -5
x+4y = -5
To find :-
The solutions .
Solution :-
Given pair of linear equations in two variables are
3x+2y = -5 ----------(1)
x+4y = -5 ------------(2)
=> x = -5-4y ----------(3)
On substituting the value of x in the equation (1)
3(-5-4y)+2y = -5
=> -15-12y+2y = -5
=> -15-10y = -5
=> -10y = -5+15
=> -10y = 10
=> y = 10/-10
=> y = 1/-1
=> y = -1
Therefore, y = -1
On substituting the value of y in (3) then
x = -5-4(-1)
=> x = -5+4
=> x = -1
Therefore, x = -1
Therefore, Solution = (-1,-1)
Answer :-
The solution of the given pair of linear equations in two variables is (-1,-1)
Check :-
If x = -1, y = -1 then LHS of the given equation
=> 3x+2y
=> 3(-1)+2(-1)
=> -3-2
=> -5
=> RHS
=> LHS = RHS
and
If x = -1 , y = -1 then LHS of the given equation
=> x+4y
=> -1+4(-1)
=> -1-4
=> -5
=> RHS
=> LHS = RHS
Therefore , LHS = RHS is true for the solution (-1,-1)
Verified the given relations in the given problem.
Used Method :-
→ Substitution method
Step-by-step explanation:
Step-by-step explanation:
Given :-
3x+2y = -5
x+4y = -5
To find :-
The solutions .
Solution :-
Given pair of linear equations in two variables are
3x+2y = -5 ----------(1)
x+4y = -5 ------------(2)
=> x = -5-4y ----------(3)
On substituting the value of x in the equation (1)
3(-5-4y)+2y = -5
=> -15-12y+2y = -5
=> -15-10y = -5
=> -10y = -5+15
=> -10y = 10
=> y = 10/-10
=> y = 1/-1
=> y = -1
Therefore, y = -1
On substituting the value of y in (3) then
x = -5-4(-1)
=> x = -5+4
=> x = -1
Therefore, x = -1
Therefore, Solution = (-1,-1)
Answer :-
The solution of the given pair of linear equations in two variables is (-1,-1)
Check :-
If x = -1, y = -1 then LHS of the given equation
=> 3x+2y
=> 3(-1)+2(-1)
=> -3-2
=> -5
=> RHS
=> LHS = RHS
and
If x = -1 , y = -1 then LHS of the given equation
=> x+4y
=> -1+4(-1)
=> -1-4
=> -5
=> RHS
=> LHS = RHS