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beks73 [17]
3 years ago
8

What is the solution to the system of linear equations?

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

<em>Subtract y from both sides</em>

2x= -y+5

<em>Subtract 5 from both sides</em>

2x-5= -y

<em>Multiply both sides by 4</em>

8x-20= -4y

5x+4y=11

<em>Subtract 4y from both sides</em>

5x= -4y+11

<em>Subtract 11 from both sides</em>

5x-11= -4y

<u>Combine equations:</u>

5x-11=8x-20

<em>Subtract 5x from both sides</em>

-11=3x-20

<em>Add 20 to both sides</em>

9=3x

3x=9

<em>Divide both sides by 3</em>

x=3

Solving for y:

2x+y=5

<em>Subtract y from both sides</em>

2x= -y+5

-y+5=2x

<em>Multiply both sides by 5</em>

-5y+25=10x

5x+4y=11

<em>Subtract 4y from both sides</em>

5x= -4y+11

-4y+11=5x

<em>Multiply both sides by 2</em>

-8y+22=10x

<u>Combine equations:</u>

-8y+22= -5y+25

<em>Add 8y to both sides</em>

22=3y+25

<em>Divide both sides by 25</em>

-3=3y

3y= -3

<em>Divide both sides by 3</em>

y= -1

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Answer:

5:12

Step-by-step explanation:

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3 years ago
If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s
Oxana [17]
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
23miles + 110miles = 133miles
so, we use the midpoint formula to find our position
\frac{distance}{ 2}
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
|our \: position - distance \: of \: sign|

so we get
|66.5miles - 23miles|  = 43.5miles
to double check, use the sign's distance from Oakland.
|66.5miles - 110miles|  = 43.5miles
so, we are 43.5 miles from the sign!

hope this helps

7 0
3 years ago
Solve xy - 8=k for x. PLEASEEEE help​
Triss [41]
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7 0
3 years ago
Use the interactive tool to create the three-dimensional
Sati [7]

The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.

Step-by-step explanation:

The given is,

                 Detailed view or net diagram of the three dimensional diagram.

Step:1

                Three dimensional diagram of the given net diagram is attached.  

                From the three dimensional diagram given net diagram is rectangular prism.

Step:2

                 From the three dimensional diagram

                 Formula for surface area of the rectangular prism,

                                       A = 2(wl + lh + hw)..............................(1)

                 Where, w - Width

                                l - Length

                               h - Height

                 From the attachment,

                               l = 6 cm

                              w = 2 cm

                               h = 3 cm                

                 Equation (1) becomes,

                              A = 2((6)(2) + (6)(3) + (3)(2))

                                   = 2 ( 12 + 18 + 6 )

                                   = 2 ( 36 )

                               A = 72 squared centimeters

                                  ( or )

                 From the net diagram,

                 Surface area, A = ((6×3)+(2×3)+(2×6)+(2×3)+(3×6)+(2×6))

                                            = 18 + 6 + 12 + 6 + 18 + 12

                                            = 72

                Surface area, A = 72 squared centimeters

Result:

          The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.

4 0
3 years ago
Read 2 more answers
Each of the 9 dogs, weighs less than 4.5 pounds. How many total
Alborosie

Answer:

the answer is 40.5

Step-by-step explanation:

your welcome

4 0
3 years ago
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