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Naily [24]
3 years ago
13

Could someone please help me with these systems. I have to use substitution.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0
Isolate one term (x or y) in one of the equations

6x+6y=0
6x=-6y
X= -1y

Substitute x=-y into the other equation

-7(-y) + 2y =18

7y + 2y =18

9y=18

Y=2

Substitute y=2 into 6x+6y=0

6x + 6(2) = 0

6x + 12=0

6x= -12

X = -2
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A 14 foot is cut into two pieces so that one piece is 3 feet longer than twice the shorter piece
DochEvi [55]
To answer the question above, let x be the shorter one of the pieces. With the variable, we can express the longer piece as 2x + 3. Based on the given, the sum of the lengths of these pieces should sum up to 14 ft. 

                                        2x + 3 + x = 14 ft, x = 3 2/3 ft

Substituting this value for the longer piece, we get 10 1/3 ft. Thus, the lengths of the pieces are 3 2/3 ft and 10 1/3 ft. 

3 0
3 years ago
Which is a factor of 6x^3y+6xy-12x^2-12
vredina [299]

6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)


(x²+1) is a factor of 6x³y + 6xy − 12x² − 12

6 0
3 years ago
In roulette, you may bet whether the number that comes up is odd (or even). (Remember that 0 and 00 do not count as either odd o
EastWind [94]

Answer: - 0.027

Step-by-step explanation:

Win = any even number between (0 - 36)

Therefore,

Lose = any odd number between 0 —36 including 0

Assume Bet amount = $1

Expected value is calculate by summing all possible outcomes by their respective probabilities.

Expected value = [(p(winning) × net win value) + (p(losing +net loss value]

P(winning) = p(even) = 18/37

P(losing) = p(odd) +p(0) = 19/37

Net win value = $2

Net loss value = $-1

Expected value = [(18/37) × ($1) + (19/37) × (-$1)]

Expected value = 0.48648648 - 0.51351351

Expected value = - 0.027

7 0
3 years ago
Y = 3(x - 2)2 + 3<br> y = 6x – 12
Effectus [21]

Answer:

25

Hope this help

5 0
3 years ago
Jose and Sue are playing a board game. If they land on a red or blue square, they lose 1 point. The inequality statement compare
Nina [5.8K]
The inequality statement shows that both Jose and Sue landed on red or blue squares and hence both lost some points. The points they lost were more than the points they gained, which resulted in an overall score having a negative value for each player.

Jose had a final score of -2 and Sue had a final score of -5. This means, Sue scored less and probably lost more points as compared to Jose. There is a difference of 3 points between the scores of both players. 


3 0
3 years ago
Read 2 more answers
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