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never [62]
3 years ago
14

What is the solution to the system of equations below?

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0

Answer:

6×+÷3=2+4×=6

3x 8x+6 =8×+y1×-2

Alinara [238K]3 years ago
3 0
To solve the system of equations, first solve for x.

Because both equations equal y, they also equal each other (rule: if a = c and b = c, than a = b)

You can then set the equations equal to each other and solve for x.

1/2x + 6 = -3/4x - 4

I want to get x onto just one side. 1/2 = 2/4. I now add 3/4 x to both sides to get this:

5/4x + 6 = -4

I then subtract 6 from each side

5/4x = -10

Finally I dive each side by 5/4

x = -8

Now to solve for y I plug in x = -8 into one equation. I’m going to use the first one.

y = 1/2(-8) + 6
y = -4 + 6
y = 2

Your solution is (-8, 2)
To double check this, plug these values into the second equation. If both sides equal each other than you have the right answer.
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If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

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This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

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3 years ago
Elena needs to ship a 61 cm concert flute to a customer. She has two rectangular boxes. One is 25 cm by 25 cm by 50 cm. The othe
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Step-by-step explanation:

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3 years ago
The graph of the step function g(x) = –⌊x⌋ + 3 is shown.
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Using it's concept, the domain of the function is given as follows:

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<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.

The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:

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More can be learned about the domain of a function at brainly.com/question/10891721

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