The solution of the system of linear equations is
,
.
The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows.
<h2>Procedure - Determination of the number of people assisting to a movie</h2><h2 /><h3>Construction of the system of equations</h3><h3 />
In this question we need to construct a linear function for the total of people that assisted to the evening show and for the total of people that assisted to the afternoon matinee. The system of equations is described below:
Evening show
(1)
Afternoon matinee
(2)
Where:
- Number of children that assisted.
- Number of adults that assisted.
<h3>Resolution of the system of equations and analysis of the results</h3><h3 />
By algebraic means we find the following result associated with the system of equations:
,

The graphic representation of this system is described in the image attached below.
The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows. 
To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472
Answer:
5
Explanation:
I have to meet the character minimum so, I used the pathway calculator
Answer:
-4
Step-by-step explanation:
Pick any two points, let's go with (-7, 21) and (-6, 17) to find slope:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (17- 21) / (-6 - (-7))
= -4 / 1
m = -4
---Extra info---
y-intercept using anyone point, let's use (-5, 13) and slope above:
y = mx + b
13 = -4(-5) + b
13 = 20 + b
b = -7
Equation of line:
y = mx + b
y = -4x - 7
Check:
(-7, 21)
y = -4x - 7
21 = -4(-7) - 7
21 = 21
(-4, 9)
y = -4x - 7
9 = -4(-4) - 7
9 = 9
other points should check out as well...
Answer:118%
Step-by-step explanation: You would subtract 1200 by 550 and put that answer (118) over 1000 and then that would be your percent 118%.
Answer:
Step-by-step explanation:
6x=3(x+4) distribute the 3 to the x and the 4 in the parenthesis to get 6x=3x+12 then subtract 3x on both sides to get 3x=12 last step is to divide by 3 on both sides so x is by itself and all you have left is 12/3 which would leave you with x=4