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2 years ago

How would you solve this by elimination?

Mathematics

1 answer:

jekas [21]2 years ago

5 0

To solve this equation by elimination, what you would do is multiply one of the equations by -1, or distribute -1 to each term in the equation, any of the 2 equations. Then align the equations and add them together.

-(X + 3y = 3)
-X - 3y = -3

-X - 3y = -3
X + 6y = 3
__________
3y = 0
y = 0/3 = 0.

Now we can solve for x, by simply plugging the value of y into any of the 2 equations.

X + 6y = 3
X + 6(0) = 3
X + 0 = 3
X = 3.

The solution to your system of equations would be (3,0).

Check this by plugging in the point to the other equation and see if it is true.

X + 3y = 3
(3) + 3(0) = 3
3 + 0 = 3
3 = 3.

Thus it is the solution.

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An abscissa point equal to the opposite of three quarters and ordinate equal to two

klemol [59]

Answer:

P(- 3/4, 2)

Step-by-step explanation:

Translating statement

3/4 ... opposite = - 3/4

ordered 2

P(- 3/4, 2)

8 0

2 years ago

What is the measure of ?

Elenna [48]

Answer:

B or C

Step-by-step explanation:

Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. ... This system reduces all physical measurements to a mathematical combination of seven base units. The science of measurement is pursued in the field of metrology.

5 0

2 years ago

Mrs. Bonilla is a saleswoman at a furniture store. Her commission on rugs is 10% and her commission on furniture is 15%. Her goa

lara31 [8.8K]

<span>so here is how you can answer this:

Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get,

Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values,

5000 =.1 * x + .15 * 12500.

Now it's a matter of finding for x. You should get,

x = $31,250.</span>

8 0

2 years ago

Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8?

inessss [21]

Answer:

"The next term should be 11"

Step-by-step explanation:

If we look closely at the sequence we can see:

second term is 3 more than previous

third term is 2 less than previous

fourth term is 3 more than previous

fifth term is 2 less than previous

We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.

Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11

The next term would be 11

5 0

3 years ago

The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

Anna007 [38]

Answer:

21 cm

Step-by-step explanation:

Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.

The right triangles formed by the altitude are all similar to the original. That means ...

AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant

Multiplying by AB and substituting the given numbers, we get ...

AD = AB²/AC = 10²/25

AD = 4

Then the segment DC is ...

DC = AC -AD = 25 -4

DC = 21 . . . . . centimeters

6 0

2 years ago