write a pair of linear equation which has the unique solution x is equal to -1 and y is equal to 3 how many such pairs can you write
Answers
Answer:
For system of linear equations
a
1
x+b
1
y+c
1
=0
a
2
x+b
2
y+c
2
=0
the lines gas unique solution x=−1 and y=3 so it must satisfy the above equations
∴a
1
(−1)+b
1
(3)+c
1
=0
and a
2
(−1)+b
2
(3)+c
2
=0
⇒−a
1
+3b
1
+c
2
=0..(ii)
the restricted values of a
1
,a
2
and b
1
,b
2
are only
a
2
a
1
=
b
2
b
1
...(iii)
So all the real values a
1
,a
2
,b
1
,b
2
except condition (iii) can from so many linear equations which will satisfy equation (i) and (ii) and have solution x=−1 and y=3
We can have an infinite number of lines passing through (−1,3) which is the solution for intersecting lines at this (−1,3) point.
So infinite number of pairs of system of equations are possible which has unique solution x=−1 and y=3
Step-by-step explanation:
I hope this may help you
difzitdyodtoototzototxtoxdit