Question

2x + 3y - 9= 0 , 4x + 6y - 18= 0
how many solutions are there in the pair of linear equations

Answer 1

Answer:

Infinite number of many solutions

Step-by-step explanation:

Given:-

2x + 3y - 9= 0 , 4x + 6y - 18= 0

To find:-

How many solutions are there in the pair of linear equations?

Solution:-

.Given pair of linear equations are:-

2x + 3y - 9= 0

We have

a 1=2

b1=3

c1=-9

and

4x + 6y - 18= 0

a2=4

b2=6

c2=-18

now,

a1/a2=2/4=1/2

b1/b2=3/6=1/2

c1/c2=-9/-18=1/2

a1/a2=b1/b2=c1/c2

Given lines are consistent and dependent lines.

The graph of the given lines is coincident lines.

They have infinitely number of many solutions.

Answer:-

They have infinitely number of many solutions.

Used formulae:-

• If a1/a2=b1/b2=c1/c2 then the given lines are consistent and dependent lines
• The graph is a coincident lines .
• They have infinitely number of many solutions