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dlinn [17]
3 years ago
9

What is the solution of this system of linear equations? 3y = x + 6 y – x = 3

Mathematics
2 answers:
suter [353]3 years ago
5 0
3y = x + 6
y = x + 3   Subtract:-

2y = 0 + 3
y =  3/2 = 1.5

Plug this value of y into the first equation:-

3(1.5) = x + 6
x = 4.5 - 6 = -1.5

Answer is x = -1.5, y = 1.5
Naya [18.7K]3 years ago
4 0
<span>3y = x + 6
y – x = 3 ----------->  x=y - 3 (substitute in 1st equation)

3y = y - 3 +6
3y - y = 3
2y = 3
y = 2/3

x= y - 3 = 2/3 -3 = 2/3 - 9/3 =  - 7/3

</span>x= - 7/3, y = 2/3<span>


</span>
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in a game involving a pair of fair dice a player rolls the dice until he gets a sum of 7 let z equal the number of rolls it take
Anarel [89]

Answer:

z = 36 rolls , probability for getting 7 = 1/6

Step-by-step explanation:

A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.

The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

There the probability of getting a sum dice of 7 is:

= 6 / 36 = 1/6

8 0
3 years ago
Two cells are viewed and measured under a microscope. The approximate diameter
nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have            

The diameter of cell P is  5*10^{-4}\ m

The diameter of cell Q is  3*10^{-5}\ m

Rewrite the diameter of cell P as    

5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m

Find the difference

50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m

Rewrite the difference as

47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m

7 0
3 years ago
Can you please answer both and show work
Effectus [21]

90*.1=9

90-9=81

81

190*.200=38

190-38=152

152

6 0
3 years ago
Read 2 more answers
Paula has a dog that weights 3 times as much as Carla's dog. The total weight of the dogs is 48 pound. How much does Paula's dog
tiny-mole [99]
Paula's dog is 36 lbs

Use the equation 48=3x+x

Add like terms: 48=4x

Divide: 12=x (x=Carla's dog's weight)

Then Multiply x by 3 to get Paula's dog's weight and you get 36 lbs
5 0
3 years ago
Read 2 more answers
Combine like terms and solve x<br><br><br> 12x + 3 - 4x - 6 = 5<br><br> 5x - 4 + 7 + 6x - 4x = 24
Lisa [10]

Answer:

12x + 3 - 4x - 6 = 5

x=1

5x - 4 + 7 + 6x - 4x = 24

x=3

5 0
2 years ago
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