How many solutions does the system of equations have?
2x = −18y + 16 and x + 9y = 8
(1 point)
Responses
infinitely many
infinitely many
one
one
two
two
none
The system of equations can be simplified by dividing the first equation by 2:
x = -9y + 8
Now we can substitute this expression for x in the second equation:
-9y + 8 + 9y = 8
The y term cancels out, leaving:
8 = 8
This equation is true for any value of y. Therefore, the system of equations has infinitely many solutions.