The two lines have different slopes and intersect at one point in the plane. A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line.
For this problem we must set up some fractions in an equality. First, we put number of people in the numerator and number of hours in the denominator. After this we can plug in 24 to the numerator of the first fraction and 4 to the denominator of the first fraction (24/4). We then set the two fractions equal to each other and put 18 in the numerator of the second fraction and the variable X and the denominator of the second fraction (18/x). Lastly we cross multiply and then divide leaving X alone. This will be our answer. Therefore the answer is 3 hours.
B. Between 5 and 10 years old
Answer:
x-intercept: (2/3, 0)
y-intercept: (0, -2)
Step-by-step explanation:
x-intercept: when y = 0
3x - y = 2
3x - 0 = 2
x = 2/3
y-intercept: when x = 0
3x - y = 2
0 - y = 2
y = -2
Sorry, but there is no table to the right. Please put the table.
