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2 years ago

What is the solution to the system: 9x+3y=24 2y+4x=8

Mathematics

2 answers:

egoroff_w [7]2 years ago

8 0

Answer:

x = 4, y = -4

Step-by-step explanation:

9x + 3y = 24

3x + y = 8 divide both sides by 3

y = 8 - 3x subtract 3x from both sides

2y + 4x = 8

2(8 - 3x) + 4x = 8 replace y with 8 - 3x

16 - 6x + 4x = 8 distributive property

-6x + 4x = 8 - 16 subtract 16 from both sides

-2x = -8 divide both sides by -2

x = 4

y = 8 - 3x

y = 8 - 3(4) replace x with 4

y = 8 - 12

y = -4

NeX [460]2 years ago

8 0

Answer:

The solution is x = 4 and y = -4

Step-by-step explanation:

(9x + 3y = 24)-2

(4x + 2y = 8)3

-18x - 6y = -48

12x + 6y = 24

-6x = -24

x = 4

Plug this into one of the equations

2y+4(4)=8

2y + 16 = 8

- 16 - 16

2y = -8

y = -4

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mote1985 [20]

Answer:

(-7,4)

Step-by-step explanation:

goal: (y-k)^2=4p(x-h)

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y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)

y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)

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(y-4)^2=4x+28

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3 years ago

Read 2 more answers

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Evgesh-ka [11]

Answer:

x = 170/34 = 5

Step-by-step explanation:

The sum of angle 1 and angle 2 is 180 degrees. They form a straight line.

So, just add the two equations together, set them equal to 180 and solve for x.

12x+19 + 22x - 9 = 180

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2 years ago

The temperature at the core of the Sun is estimated to be more than 15,000,000 degrees Celsius. What is 15,000,000 written in sc

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2 years ago

A factory produces 80,000 candies each day. They produce equal quantities of four favors: cherry,lemon,orange,and strawberry. Th

Nostrana [21]

Answer:

0.25 is the probability that the randomly selected candy is orange.

Step-by-step explanation:

We are given the following in the question:

Total number of candies = 80,000

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Thus, number of orange candies =

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3 years ago