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frozen [14]
3 years ago
5

Solve the following system by elimination 2x-y=9 and 3x+4y=-14

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

2x - y = 9

3x + 4y = -14

To solve this system using elimination, one of the pairs of variable terms must cancel each other out. Their coefficients must be opposites of each other.

Multiply the top equation by 4.

2x - y = 9

4(2x - y = 9)

8x - 4y = 36

Add the equations together.

8x - 4y = 36

3x + 4y = -14

+___________

11x - 0 = 22

11x = 22

x = 2

Substitute 2 for x into either of the original equations to find y.

2x - y = 9

2(2) - y = 9

4 - y = 9

-y = 5

y = -5

Finally, check work by plugging x- and y-values into each original equation.

2(2) - (-5) = 9 --> 4 + 5 = 9 --> 9 = 9 --> True

3(2) + 4(-5) = -14 --> 6 - 20 = -14 --> -14 = -14 --> True

Answer:

x = 2 and y = -5; (2, -5).

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Please answer this correctly
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Answer:

x =1

Step-by-step explanation:

Assuming the figures are similar, we can use ratios to solve

x        2

---- = -----

4         8

Using cross products

8x = 2*4

8x = 8

Divide by 8

8x/8 = 8/8

x=1

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If the mean time between unscheduled maintenance of LCD displays in a hospital’s CT scan facility is 4000 hours, what is the pro
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3 years ago
How many 1/4 ft cubed make up the volume of this prism ?​
DIA [1.3K]

Answer:

Each cube with side lengths of 1/4 has a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation:

6 0
3 years ago
I have one last question I need help with.
klio [65]
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3 years ago
Interpret (1,15)<br><br> interpret (4,60)
statuscvo [17]

Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).

<h3>What are coordinates?</h3>

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

For interpreting we have to find the relation between (1,15) and (4,60)

We have, (1,15)

For x- coordinate 1, y- coordinate will be 15

Now,

let us take x- coordinate=2 then y- coordinate =30

again, if x-coordinate = 3 then y-coordinate  = 45

lastly, if the x-coordinate =4 then y-coordinate = 60

That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.

Learn more about coordinates here:

brainly.com/question/23450276

#SPJ1

4 0
2 years ago
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