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Paraphin [41]
4 years ago
15

X + 3y = −1 2x + 2y = 6

Mathematics
1 answer:
hram777 [196]4 years ago
5 0
\left\{\begin{array}{ccc}x+3y=-1\\2x+2y=6&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x+3y=-1\\-x-y=-3\end{array}\right}\\.\ \ \ \ \ \ \ \ \ 2y=-4\ \ \ \ |divide\ both\ sides\ by\ 2\\.\ \ \ \ \  \ \ \ \ \fbox{y=-2}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x+3y=-1\\\\x+3\cdot(-2)=-1\\x-6=-1\ \ \ \ |add\ 6\ to\ both\ sides\\\fbox{x=5}\\\\Answer:\boxed{x=5\ and\ y=-2}
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A gardener has a patch of land that measures 96 feet long and 37 feet wide. He has 4 plants in each square foot of the garden. H
inna [77]

First find the total square feet of the land by multiplying the length by the width:

Total area = 96 x 37 = 3,552 square feet.


They have 4 plants per square foot.

Divide the total area by the number of plants per square foot for total number of plants.


3552 / 4 = 888 total plants.

3 0
3 years ago
Which expression is equivalent to 6 x 2/3?<br>a. 3 x 1/3<br>b. 4 x 1/3<br>c. 8 x 1/3<br>d. 12 x 1/3
sesenic [268]
D. 12 x 1/3 

You just had to multiply 6 x 2/3 which gives you 4.

Then, multiply all of your answer choices and see which one also gives you 4. D is the only one.


6 0
4 years ago
A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to
omeli [17]

Answer:

  • circumscribed circle
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Step-by-step explanation:

The circumscribed circle or <em>circumcircle</em> of a polygon is a circle that passes through all the vertices of the polygon. The center of the circle, the circumcenter, is equidistant from all of the polygon's vertices.

The center is found at the point of intersection between the perpendicular bisectors of any two (non-parallel) chords of the circle. That is, <em>the perpendicular bisectors of any two of the sides of the triangle joining the cities will intersect at the circumcenter</em>.

The method of locating the center of the circle this way is simple and effective.

7 0
3 years ago
X = 1/4 y = 2/3 z = 4 1/5
r-ruslan [8.4K]
The answer is 7/10 (or .7 in decimal form)
8 0
3 years ago
Dividing with decimals in the divisor any answer could work
zhenek [66]

Answer:

do you need an exam to figure it out?

have a good day :)

5/145 5 goes into 14 2 times

-  10

4 then bring down the 5

45 divide it by 5

9 would be the final answer

Step-by-step explanation:

8 0
3 years ago
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