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Furkat [3]
2 years ago
11

Solve system of equation using elimination by addition. Will give brainliest!!

Mathematics
1 answer:
emmasim [6.3K]2 years ago
8 0

Answer:

x = 2, y = -1

Step-by-step explanation:

We can add the 2 equations together to solve for y.

(-3x + 5y) + (3x + 7y) = (-11) + (-1)\\-3x + 3x + 5y + 7y = -11 -1\\12y = -12\\y = -1

Now we can solve for x by substituting y in one of the original equations.

3x + 7y = -1\\3x + 7(-1) = -1\\3x - 7 = -1\\3x = 6\\x = 2

Those are the answers

- Kan Academy Advanced

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Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'
MArishka [77]

The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.

From the graph:

The two points are (-4, -2) and (4, 5)

The line equation passing through two points:

[y - 5] = (5+2)/(4+4)[x - 4]

y - 5 = 7/8[x - 4]

8y - 40 = 7x - 28

8y = 7x + 12

Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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6 0
2 years ago
∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6
sp2606 [1]

Answer:

<h3>B. m<3 = m<6 = 75degrees</h3>

Step-by-step explanation:

First you must understand that in geometry, the alternate interior angles are equal

Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6

Given that m<3 = 75 degrees

m<6 will also be 75 degrees since both angles are equal

7 0
2 years ago
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 32 minutes the container has 6 gallons l
anzhelika [568]

Answer:

1 gallon every 16 minutes

Step-by-step explanation:

If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.


8 0
3 years ago
PLS HELP ME I DON'T HAVE A LOT OF TIME !!!
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Answer:

d

Step-by-step explanation:

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3 years ago
Find the slope and y-internet.
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