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Sati [7]
3 years ago
9

There are two mystery numbers. The sum of 2 times the first number and 3 times the second number is -18. The sum of 3 times the

first number and 2 times the second number is -17. What are the two numbers?
Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

set up system of equations:

2x + 3y = -18

3x + 2y = -17

elimination method:  multiply 1st equation by -2 and second by 3

 -4x - 6y = 36

+

<u>  9x + 6y = -51</u>

  5x = -15

   x = -3

find y:  2(-3) + 3y = -18

           -6 + 3y = -18

            3y = -12

             y = -4

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I’m lost please help
vagabundo [1.1K]

Answer:

See proof below

Step-by-step explanation:

Two triangles are said to be congruent if one of the 4 following rules is valid

  1. The three sides are equal
  2. The three angles are equal
  3. Two angles are the same and a corresponding side is the same
  4. Two sides are equal and the angle between the two sides is equal

Let's consider the two triangles ΔABC and ΔAED.

ΔABC sides are AB, BC and AC

ΔAED sides are AD, AE and ED

We have AE = AC and EB = CD

So AE + EB = AC + CD

But AE + EB = AB and AC+CD = AD

We have

AB of ΔABC  = AD of ΔAED

AC of ΔABC =  AE of ΔAED

Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC

So  triangles ΔABC and ΔAED are congruent

That means all 3 sides of these triangles are equal as well as all the angles

Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that

BC = ED  Proved

5 0
2 years ago
Which situation can be modeled by a linear function? * 1 point The value of a car decreases by 10% every year. The number of fis
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Answer:

The third equation where 2 liters of water evaporate from a pool every day is linear

Step-by-step explanation:

One way to think about this is that the other equations would require exponents, or solving non-algebraically would require know the subsequent output.

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8 0
3 years ago
The perimeter of a rectangular field is 284 m.
Fantom [35]

Answer:

I think it would be 208

Step-by-step explanation:

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Hope this helps! Have a wonderful rest of your evening! :)

~ Goldilocks

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3 years ago
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