Question

the pair of equations 5x-15y=8 and 3x-9y=24/5 has​

Answer 1

Answer

:these pair of equations are coincide and

has infinite solutions

Step-by-step explanation:

5x-15y=8

5(x-3y)=8.....=> (x-3y)=8/5....(@)

3x-9y=24/5

3(x-3y)=24/5...=>(x-3y)=24/15=8/5...(#)

equation @ and # are coinside...the pair

of linear equations is dependent.

The lines are dependent and the pair of

equations has infinite solition ..

every point of the line is a solution.

If we compared to above equation with

a1x+by+c1=0

a2x+by+c2=0

we can observe..

a1 / a2= b1 / b2 = c1/c2.....

Hope it helps

you, ,

Answer 2

Answer:

given

5x−15y=8      .....(1)

3x−9y=524​

⇒15x−45y=24     .....(2)

From the equations (1) and (2), we have

a2​a1​​=155​=31​

b2​b1​​=4515​=31​

c2​c1​​=248​=31​

⇒a2​a1​​=b2​b1​​=c2​c1​​

Hence pair of equation has infinitely  many  solutions.

Step-by-step explanation: