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nikklg [1K]
3 years ago
12

How many solutions do you think the equation -10x+3=5x-27 has? Explain. Then, find the solution(s).

Mathematics
1 answer:
deff fn [24]3 years ago
4 0
This will only have one solution because it does not deal with a quadratic. Then to isolate x you need to get the similar terms on different sides by subtracting or adding, Then divide both sides by the number next to x (coefficient).
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Oscar bought some markers, notebooks, and packs of sticky notes for his office. He bought the same number of markers as notebook
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Using a system of equations, it is found that Oscar bought 6 markers, 6 notebooks and 15 packs of sticky notes.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of markers.
  • Variable y: Number of notebooks.
  • Variable z: Number of packs of notes.

He bought the same number of markers as notebooks, hence:

x = y.

He bought three more packs of sticky notes than markers and notebooks combined, hence:

z = 3 + x + y

z = 3 + 2x.

He paid $1.05 for each marker, $2.25 for each notebook, and the packs of sticky notes were $1.95. He spent $49.05 in total, hence:

1.05x + 2.25y + 1.95z = 49.05.

Then:

1.05x + 2.25x + 1.95(3 + 2x) = 49.05.

7.2x = 43.2

x = 43.2/7.2

x = 6.

The amounts are as follows:

  • y = 6.
  • z = 3 + 2(6) = 15.

He bought 6 markers, 6 notebooks and 15 packs of sticky notes.

More can be learned about a system of equations at brainly.com/question/24342899

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