Infinitely many solutions:
Solve for y from each equation to obtain the equation of the line in slope-intercept form:
EQUATION ON THE TOP:
The equation on top and the equation equation 1 has different slopes and different y-intercept, therefore the system will have one solution.
The equation on top and the equation equation 2 are the same, therefore, the system will have infinitely many solutions.
The slopes are equal, then both lines will be parallels, therefpre the system will have no solution.
irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.