Answer:
Step-by-step explanation:
C
Part A: The algebraic equation for the situation is 2x - 3 = 5
Part B: Bob has 4 brand new music CD's
Step-by-step explanation:
Translate the situation into an algebraic equation:
- Ann has 5 brand new music CD’s, which is 3 less than twice the amount that Bob (x) has
- Find the value of x (the number of brand new CD's Bob has)
Part A:
∵ Bob has x brand new CD's
∵ Ann has 5 brand new music CD’s, which is 3 less than twice
the amount that Bob has
- That means multiply x by 2 and then subtract 3 from the product
and equate the answer by 5
∵ Twice x 2x
∵ 3 less than twice x = 2x - 3
∴ 2x - 3 = 5
The algebraic equation for the situation is 2x - 3 = 5
Part B:
Let us solve the equation to find the value of x
∵ 2x - 3 = 5
- Add 3 to both sides
∴ 2x = 8
- Divide both sides by 2
∴ x = 4
Bob has 4 brand new music CD's
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Answer:
Yes
Step-by-step explanation:
Answer:
Explanation:
This is the given system of equations:

A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.
To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:
<u>1. First equation times 6:</u>

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<u>2. Second equation times - 1:</u>

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<u>3. Add the two new equations:</u>

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<u>4. Conclusion:</u>
Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.
The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.
In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.
There is no single solution but there is a group of solutions also known as the interval.

This can be written with an interval.

Hope this helps.
r3t40