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valentinak56 [21]
3 years ago
14

Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

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The perimeter of a rectangular garden is 374 m. If the width of the garden is 88m, what is it’s length?
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Answer:

The Length Is 99

Step-by-step explanation:

First You Multiply The Width 88 X 2 Which Equals 176

After You Take 374 And Subtract 176 Which Equals 198

Last Part You Divided 198 and 2 Which Equals 99

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3 years ago
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
Bas_tet [7]
Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.

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3 years ago
What is 17 tenths written in decimal?
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Kristen bought a pack of 12 pencils for $1.35 how much was each pencil
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By driving 8 mph faster than Bob, John can make a 230 mile trip in one half hour less.How fast does Bob drive on the trip? Round
aivan3 [116]

Answer:

  57 mph

Step-by-step explanation:

Let b represent Bob's speed on the trip. Then his time is ...

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  Bob's time = 230/b

Then John's speed is b+8, and his time is ...

  John's time = 230/(b+8)

The difference of their times is 1/2 hour:

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  b = -4 +√3696 ≈ 56.795 . . . solve for positive b

Bob's drove about 57 mph on the trip.

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3 years ago
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