Question

Determine if the following system of equations has no solutions, infinitely many

Answer 1

Answer:

The system has infinitely many solutions

Step-by-step explanation:

we have

$5x+3y=9$ ----> equation A

$-10x-6y=-18$ ----> equation B

Multiply by -2 both sides equation A

$-2(5x+3y)=-2(9)$

$-10x-6y=-18$ ----> equation C

Compare equation B and equation C

The equations are identical (is the same line)

therefore

The system has infinitely many solutions

Is a consistent dependent system