Question

equations 9x+3y=5k and 6x+2y=3 have infinitely may solutions​

Answer 1

Answer:

The two equations are in fact identical.

If we divide the equation

3

y

−

6

x

=

9

on both sides by same number

3

, we get

y

−

2

x

=

3

similarly dividing

2

y

−

4

x

=

6

on both sides by same number

2

, we too get

y

−

2

x

=

3

Hence the two equation are identical and actually denote same line

y

−

2

x

=

3

or

y

=

2

x

+

3

Hence, for any

x

=

x

1

, we can get

y

1

=

2

x

1

+

3

and

(

x

1

,

y

1

)

is a solution to the equation and we can have infinite

(

x

1

,

y

1

)

all lying on line

y

=

2

x

+

3

graph{2x+3 [-11.54, 8.46, -4.52, 5.48]}

Hence, we have infinite solutions

Step-by-step explanation:

hope it helpsシ︎