Q) How many solutions does the
equation x=5y have ?
Answers
Answered by
0
Answer:
the equation has infinitely many solutions.
Answered by
1
Answer:
Hey mate,Here is your solution.
Step-by-step explanation:
x− 5y= 15 ----- (1)
2x+ 5y= 0 ----- (2)
From equation (1) assume the value of
x
and
y
to satisfy the equation to zero.
x−−
15=
0
------ (3)
Put
x=
0,y=
−3
in equation (3)
0−
5(−3)−
15=
0
15−
15=
0
0=
0
Again put
x=
5,y=
−2
in equation (3)
5−
5(−2)−
15=
0
5+
10−
15=
0
15−
15=
0
0= 0
Now plotting
(0,−3),(5,−2)
and joining them, we get a straight line.
From equation (2) assume the value of
x
and
y
to satisfy the equation to zero.
Put
x=
5,y=
−2
in equation (2)
2x+
5y=
0
2(5)+
5(−2)=
0
10−
10=
0
0=
0
Again put
x=
0,y=
0
in equation (2)
2(0)+
5(0)=
0
0+
0=
0
0= 0
Plotting
(5,−2),(0,0)
and joining them, we get another straight line.
These lines intersect at the point
(5,−2)
and therefore the solution of the equation is
x=
5,y=
−2
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