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Flura [38]
3 years ago
5

What is the solution to the system of linear equations below? 2/5x−y=6 −2x+5y=−30 Select one: A. (-13, 14) B. (-5, -8) C. no sol

ution D. infinitely many solutions
Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

D. Infinitely many solutions

Step-by-step explanation:

-\frac{2}{5}x-y=6      |  -2x+5y=-30

1.Since neither equation contains an isolated. However, we can isolate -y in the first equation by adding \frac{2}{5}x to both sides.

Like this: \frac{2}{5}x-\frac{2}{5}x-y=6-\frac{2}{5}x

ending up with y=6-\frac{2}{5}x

2.Now, we can change y to a positive y. By doing so, we divide -y by the entire equation.

Like this \frac{-y=6-\frac{2}{5}x }{-y}

Ending with y=-6+\frac{2}{5}x

3.Now, we can plug the expression -6+\frac{2}{5}x into the second equation as a substitute for y, and solve for x. Then, we can use x to calculate y.

Like this -2x+5(-6+\frac{2}{5}x)=-30\\ -2x-30+2x=-30\\

4. Since -2x+2x would cancel out and leave -30=-30. This is true because we know -30 equals -30 with no variable in sight.

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D 2. Which of the following is correctly written in Standard Form?
Naily [24]

Answer:

Step-by-step explanation:

Ummm, y = mx+b is called the slope-intercept form because you can just read them off:

slope = m

y-intercept = b

Now can you pick a choice?

7 0
3 years ago
Read 2 more answers
Help with this math question please
Debora [2.8K]
Part 1: getting the area of the entrance
The entrance has a trapezoid shape.
Area of trapezoid can be calculated using the following rule:
Area of trapezoid = average base * height
The aveage base = (b1+b2)/2 = (8+16)/2 = 12 ft
height of trapezoid = 4 ft
Therefore:
area of entrance = 12*4 = 48 ft^2

Part 2: getting the area of the house:
area of house = area of back porch + area of side deck + area of play room + area of entrance
i- getting the area of the back porch:
The back porch is a square with side length = 6 ft
Therefore:
area of back porch = 6*6 = 36 ft^2
ii- getting the area of side deck:
The side deck is a rectangle whose length is 14 ft and width is 3 ft
Therefore:
area of side deck = 14*3 = 42 ft^2
iii- getting the area of play room:
The play room is a rectangle whose length is 14 ft and width is 16 ft
Therefore:
area of play room = 14*16 = 224 ft^2
iv- area of entrance is calculated in part 1 = 48 ft^2
Based on the above:
area of house = 36 + 42 + 224 + 48 = 350 ft^2

hope this helps :)
5 0
3 years ago
__
V125BC [204]

Answer:

rational

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Will up-vote!
klasskru [66]
19.2 * 10⁸ minutes.

60 minutes = 1 hour.

19.2 * 10⁸ minutes =  (19.2 * 10⁸) / 60  hour
                 
                              = 32 000 000 =   3.2 * 10⁷ hours

= <span>D. 3.200 × 10^7 ​h​</span>
3 0
3 years ago
Find the equation of the line that is parallel to the line <img src="https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dx%2
ivann1987 [24]

A line parallel to your equation has the same slope, so it should be in the form:


y = (-3/2)x + b


To figure what "b" has to be, plug in the point (4,0) and solve:

0 = (-3/2)*4 + b

0 = -6 + b

6 = b

So the equation of the line is:

y = (-3/2)x + 6

3 0
3 years ago
Read 2 more answers
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