Answer:
The first set is a set of linear equations.
The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.
A linear equation is a function that has a constant slope, meaning that the rate it increases or decreases will never change. The first one is a set of linear equations because it is 2 equations with constant slopes, meaning that the slopes will never change no matter what y and x are.
The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.
The third set, both equations have exponents on the x, which means that the slope will change depending on x. This means that both of these are not linear equations.
The only set that is a linear set is the one that has only linear equations.
Answer:
444 adult ticket
763 student ticket
Step-by-step explanation:
let a = number of adult ticket
let s = number of student ticket
s+a=1207
5a+s=2983
get s by itself in the 1st equation so you can plug it into the 2nd
s+a=1207
-a -a
s=1207-a
5a+(1207-a)=2983
solve for a
4a+1207=2983
-1207 -1207
4a= 1776
444
this is adult ticket amount
subtract this from 1207 to get student amount
1207-444=763