Question

How many solutions does the system have?
12x−15y=18
4x−5y=6 (1 point)
Responses

one solution
one solution

no solution
no solution

infinitely many solutions
infinitely many solutions

two solutions

Answer 1

are you sure

Answer 2

one solution

Answer 3

Apologies for the oversight. Let's check the system of equations and determine the number of solutions:

Given:
1) 12x - 15y = 18
2) 4x - 5y = 6

To check the number of solutions, we can solve the system of equations. One way is to multiply equation (2) by 3 to match the coefficient of x in equation (1):

1) 12x - 15y = 18
2) 12x - 15y = 18

Now, it's evident that the two equations are the same. This means the lines representing these equations are coincident (they lie on top of each other). Therefore, there are infinitely many solutions to this system of equations.

So, the answer is:
infinitely many solutions