Question

Which of the following systems describes an infinite solution?(1 point)
Responses

y+x=3
and −x+2y=6
y plus x equals 3 and negative x plus 2 y equals 6

y=x
and y=−x
y equals x and y equals negative x

y=12x+3
and 2y−3=−x
y equals Start Fraction 1 over 2 End Fraction x plus 3 and 2 y minus 3 equals negative x

−3+y=23x
and 3y=2x+9

Answer 1

The last system.

Rewrite both equations:
- −3 + y = (2/3)x → y = (2/3)x + 3
- 3y = 2x + 9 → y = (2/3)x + 3

They are the same line, so the system has infinitely many solutions.