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# Math: Elimination and substitution methods

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Explain what the domain and range are of a function. Next, select an exercise between 13 and 36, inclusively, on pages 500 -501 of section 7.2. Find the domain of your selected function while showing your work, and explain the process.
f(x)=2x+1

Show how to solve it using the substitution method, and explain this process.
Additionally, how do you know what the solution is when graphing a system of equations?

9x-2y= - 6
7x+8=y

3. Show how to solve it using the elimination method, and explain this process.
Y=5 - 4X
2X-3Y=13

https://brainmass.com/math/graphs-and-functions/math-elimination-substitution-methods-405878

#### Solution Preview

Detailed solutions are attached.

Week 5 DQ #2
Explain what the domain and range are of a function. Next, select an exercise between 13 and 36, inclusively, on pages 500 - 501 of section 7.2. Find the domain of your selected function while showing your work, and explain the process.
15.) f(x)=2x+1
Solution:
In a nutshell, domain refers to all possible values of x that the function can take, while range refers to all possible values of y that the function can take.
The easiest way to find the domain and range is to draw a function and to look at all possible values in the x-axis and all possible values in the y-axis. Below is how the function you chose look like:

From the graph, you can see that x can take any value and y can also take any value. Therefore the range and domain are as follows:
Domain: -infinity ≤ x ≤ + ...

#### Solution Summary

How to solve simultaneous equations by using elimination and substitution are determined.

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