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enot [183]
3 years ago
15

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

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PLEASEPLEASEPLEASE HELP!!!!!!!!!!! Don't mind to much of the notes, I think y=23, but what is x??
kirza4 [7]

REVISED

Answer:

x = 15.33

Step-by-step explanation:

3y is equal to 2x + 13. The reason why is because they are corresponding angles, (right next to each other). From there, you would have to substitute y into 3y. The equation should look like: 3(23) = 2x + 13. All that is left is to solve for x.

5 0
2 years ago
Find the value of X, then find AB and DC.
zhannawk [14.2K]

Answer:

X=2, AB=14, DC=14

Step-by-step explanation:

3x+8=x+12

Subtract x from both sides

2x+8=12

Subtract 8 from both sides

2x=4

Divide by 2 on the sides

Answer: x=2

Then replace the x's with (2) and multiply

3(2)+8 and (2)+12

7 0
2 years ago
Read 2 more answers
Paul has 27 pet cats. 14 of them are short-haired. 11 of them are kittens. 5 of them are long haired adult cats. How many of the
Oksanka [162]
I believe there are 3 short haired kittens, but let me know if I am wrong.
5 0
3 years ago
What is the equation, in point-slope form, for a line that goes through (8, −4)) and has a slope of −56 ?
grin007 [14]
Y - y1 = m(x - x1)
slope(m) = -56
(8,-4)...x1 = 8 and y1 = -4
now we sub...pay close attention to ur signs
y - (-4) = -56(x - 8)....not finished yet
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6 0
3 years ago
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In the calm waters of an inlet, Manon's boat moves with a velocity (speed and direction) vector \vec{b_1} = (3,4) b 1 ​ ​ =(3,4)
andrew-mc [135]

Answer with Step-by-step explanation:

We are given that

b_1=(3,4)

b_2=(1,1)

We have to find the speed of river's current and the direction of current flowing.

b=b_2-b_1=(1,1)-(3,4)=(-2,-3)

Speed of river's current=\mid b\mid

Speed of river's current=\sqrt{(-2)^2+(-3)^2}

Speed of river's current=\sqrt{13} m/s

By using the formula

\mid r\mid =\sqrt{x^2+y^2}

Direction of current flowing,\theta=tan^{-1}(\frac{y}{x})

\theta=tan^{-1}(\frac{-3}{-2})=56.3^{\circ}

The angle lies in third quadrant therefore

\theta=180+56.3=236.3^{\circ}

3 0
3 years ago
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