the linear equation 5 a - 25 =5 has dhash a. a unique solution b. two solutions c infinity many Solutions d. no solution
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Answer:
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
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