If (2,3) is a solution of 5x+ky=7 then find the value of k ?
Answers
Answer:
What would you like to ask?
MATHS
If the pair of linear equation 5x+ky=−7,x+2y=3 is inconsistent, then find the value of k.
Help best friend
Study later
ANSWER
If a pair of linear equations is given by
a
1
x+b
1
y+c
1
=0 and
a
2
x+b
2
y+c
2
=0
When the system of linear equations will represent two Parallel Lines there is no point of intersection and consequently, there is no pair of values of x and y which satisfy both equations. Thus, the system has no solution and such pair of linear equation is inconsistent pair of linear equations
For parallel lines(inconsistent)
a
2
a
1
=
b
2
b
1
=
c
2
c
1
The given pair of linear equations are
5x+ky+7=0 ........(1)
x+2y−3=0 .........(2)
On comparing with General form of a pair of linear equations in two variables x & y is:
we get
a
1
=5,b
1
=k,c
1
=7,a
2
=1,b
2
=2,c
2
=−3
⇒
1
5
=
2
k
=
−3
7
⇒
2
k
=5
∴k=10
Answer:
k= -1
Step-by-step explanation:
5(2)+k(3)=7
10+ 3k= 7
3k=-3
k=-1
I hope it will help u
plsss follow me
and mark it as brainlist answe