Which statement describes this system of equations?

9x - 6y = 15

3x - 2y = 5

The equations in the system are equivalent equations,

There is no solution to the system of equations

The system of equations has one solution at (3, 2).

The system of equations has one solution at (5,5).

1st option

Why?

take the equation,

3x-2y=5

multiply both sides by 3,

9x-6y=15

you can again divide both sides by 3 to gain

previous equation

That means they are equivalent and always have same solutions or roots

The Answer is: The equations in the system are equivalent equations

Step-by-step explanation:

The equations are:

9x - 6y = 15

3x - 2y = 5

Multiply the bottom equation by 3:

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

9x - 6y = 15, which is the same as the first equation, so the equations are equivalent and have infinite solutions.