Question

Determine whether the System of equations 3x+y=-5; 3y+15=-9x

Answer 1

Infinitely many solutions.

Explanation:

The given system of equations are :

3x+y=-5 ...(1)

3y+15=-9x

y+5 = -3x

or

3x+y = -5 ....(2)

Here,
`(a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2)`

It means, two lines are coincident. It means they have infinitely many solutions.