Discussion for Applications of Linear Systems
1 answer:
Step-by-step explanation:
There are certain methods for solving a system of equations. Some of which are:
- Substitution Method
- Elimination Method
- Graphing Method
<em>Substitution Method</em>
Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.
For example, for the following system of equations
x - 2y = 11....[A]
x = 5 - y....[B]
substituting the value of x = 5 - y from equation [B] into equation [A], so that
(5 - y) - 2y = 11
5 - y - 2y = 11
3y = -6
y = -2
<em>Elimination Method</em>
Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.
For example, for the following system of equations
2x + 7y = -5....[C]
5x - 7y = 12....[D]
Adding Equation [C] and Equation [D].
7x + 0 = 7
x = 1
<em>Graphing Method</em>
Sometimes graphing method may be used to solve the system of the equation and visualize the solution.
For example,
y = -2....[E]
y = 3x + 1....[F]
The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).
Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.
<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>
<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>
<em>#learnwithBrainly</em>
You might be interested in
Answer:
1) The size of the colony after 4 days is 6553 mosquitoes
2) After
Step-by-step explanation:
To answer this question you must use the growth formula
Where
is the initial population of mosquitoes = 1000
t is the time in days
k is the growth rate
N is the population according to the number of days
We know that when t = 1 and then N = 1600
Then we use these values to find k.
Now that we know k we can find the size of the colony after 4 days.
To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.
For 5 games, the cost will be equal for each option.
Step-by-step explanation:
Given,
Lane rental of offer A = $20
Per game charges = $3
Let,
x be the number of games.
A(x) = 3x + 20
Lane rental is $35 for maximum 10 games.
B(x) = 35
For the cost to be same;
A(x) = B(x)
Dividing both sides by 3
For 5 games, the cost will be equal for each option.
Keywords: function, division
Learn more about functions at:
#LearnwithBrainly