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Nadusha1986 [10]
3 years ago
8

How many solutions does this system have?

Mathematics
2 answers:
Julli [10]3 years ago
6 0

Answer:

one solution

Step-by-step explanation:

* Lets start to solve the question

- The 1st equation x - y = -4

- The 2nd equation 3x + y = 8

- We will use the elimination method to solve this system of equation

∵ x - y = -4 ⇒ (1)

∵ 3x + y = 8 ⇒ (2)

- Add the two equation (1) and (2) to eliminate y

∴ x + 3x = -4 + 8

∴ 4x = 4

- Divide both sides by 4

∴ x = 1

- Substitute the value of x in equation (1) or equation (2) to find

  the value of y

- We will use equation (1)

∴ 1 - y = -4

Subtract 1 from both sides

∴ -y = -5

- Divide both sides by -1

∴ y = 5

∴ The solution is (1 , 5)

* The system has one solution

Ann [662]3 years ago
5 0

Answer:  ONE

<u>Step-by-step explanation:</u>

I am going to use elimination method to solve for x. Since they already have an opposite coefficient for y, I can add the two equations to eliminate y.

 x - y = -4    

<u>3x + y = 8  </u>

4x       = 4

 x       =\dfrac{4}{4}

 x       = 1

Substitute x with 1 in either of the equations to solve for y:

3(1) + y = 8

 3  + y = 8

        y = 5

Therefore, there is ONE solution, which is (1, 5).

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9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?
IrinaK [193]

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

 66 miles

----------------- = 22 mpg

 3 gallons

On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

8 0
3 years ago
What is the base five representation of The number 219
ICE Princess25 [194]

assuming 219_{10}

Then the column values for base five here are

5³  5²  5^{1}  5^{0}

We can get 1 × 5³ = 125 → 219 - 125 = 94

We can get 3 × 5² = 75 → 94 - 75 = 19

We can get 3 x 5^{1} → 19 - 15 = 4

and 4 = 4 × 5^{0}

Thus 219_{10} = 1334_{5}

As a check

(1 × 125 ) + (3 × 25 ) + (3 × 5 ) + 4 = 219


3 0
3 years ago
The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8
Olenka [21]
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry 
B.) <span>A </span>Square<span> (4 sides) </span><span>has </span>4 Lines of Symmetry
C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry
7 0
3 years ago
A patient is to take 4 2/3 tablespoons of medicine per day in 4 equally divided doses. How much medicine is to be taken in each
anygoal [31]

Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

14/3 ÷ 4

14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

6 0
3 years ago
I need the answer help!!
3241004551 [841]

The answer should be 8 because you cant divide 0, making the answer to that 0+12...which would then just be 12 making v=8 the answer

8 0
3 years ago
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