The pair of equation 2x - 5 y + 4 = 20 and 2x + y - 8 = 20 has.
(a) a unique solution,
(b) exactly two solution,
(c) infinitely many solutions,
(d) no solution
please solve this question with solution.
Answers
Answered by
6
Step-by-step explanation:
Correct option is
A
Unique solutions, x=2 and y=1
Given pair of equations are:
2x+y=5 ...(i)
and 3x+2y=8 ...(ii)
a
2
a
1
=
b
2
b
1
(
a
2
a
1
=
3
2
,
b
2
b
1
=
2
1
)
Here, we have a. unique solution.
By cross multiplication, we have
⇒
{(1)(−8)−(2)(−5)}
x
=
{(−5)(3)−(−8)(2)}
y
=
{(2)(2)−(3)(1)}
1
⇒
(−8+10)
x
=
(−15+16)
y
=
(4−3)
1
⇒
2
x
=
1
y
=
1
1
⇒
2
x
=
1
1
and
1
y
=
1
1
⇒x=2 and y=1
Answered by
1
Answer:
unique solution
Step-by-step explanation:
a1÷a2 is not equal to b1÷b2 =it is unique solution
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