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Svetlanka [38]
3 years ago
8

-2x = 16–8y x+4y= 25 Solve by substitution

Mathematics
1 answer:
ra1l [238]3 years ago
5 0

Answer:

(\frac{17}{2}, \frac{33}{8}

Step-by-step explanation:

Given the 2 equations

- 2x = 16 - 8y → (1)

x + 4y = 25 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = 25 - 4y → (3)

Substitute x = 25 - 4y into (1)

- 2 (25 - 4y) = 16 - 8y ← distribute left side

- 50 + 8y = 16 - 8y ( add 8y to both sides )

- 50 + 16y = 16 ( add 50 to both sides )

16y = 66 ( divide both sides by 16 )

y = \frac{66}{16} = \frac{33}{8}

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × \frac{33}{8} )

  = \frac{50}{2} - \frac{33}{2} = \frac{17}{2}

Solution is ( \frac{17}{2}, \frac{33}{8} )

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The two legs (labeled x) of the right triangle below have equal length. If the hypotenuse has length 5√2 , solve for x.
leonid [27]

Answer:

x=5

Step-by-step explanation:

Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.

Since the two legs have equal length, they are both x. Using the pythagorean theorem:

(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).

You can add (x^2) and (x^2) because they are the same terms (x squared).

Simplifying like so gives you:

2x^2=50

Dividing by two on both sides:

x^2=25

Taking the square root of both sides:

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6 0
3 years ago
4y + x = 12, 2x = 24 - 8y<br> Solve by Substitution
Ann [662]

Answer: Undefined

Step-by-step explanation:

4y+x=12, 2x=24-8y

Isolate x by subtracting 4y

4y+x=12

x=12-4y

Plug the equation for x in to anywhere you see the variable x in the other equation

2(12-4y)=24-8y

Distribute 2

24-8y=24-8y

Get the variables on one side so add 8y (cancels out)

24=24

Can’t solve its undefined

4 0
3 years ago
Amber says 2.76/6 gets an answer of 0.19.Is Amber's answer reasonable. (Choose One) A:No,because 0.2x3=0.6 B:No,because 0.2x6=1.
Butoxors [25]

Answer:

No, her answer is unreasonable because 0.2 * 6 = 1.2

Step-by-step explanation:

Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.

Looking at her division, 2.76/6 = 0.19

To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one

Thus, the division 2.76/6 = 0.19 is not a reasonable answer

5 0
3 years ago
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sattari [20]

Answer:

f(x) - when referring to a function - means that x is the input value that you substitute into an equation.

For example, if f(x) = 2x + 3 and you were asked to find f(2), you could substitute x = 2 into the equation 2x + 3 to get 7.

Hope this helps!

6 0
2 years ago
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Airida [17]

Answer:

120 is the answer to the question

5 0
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