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makvit [3.9K]
3 years ago
5

-4x-2y=-10 3x+y=4 Using substitution

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Let get x from the first equation

-4x=+2y-10

x=-1/2y + 5/2

Now substitute the x in the second equation

3(-1/2y+5/2)+y=4

-3/2y + 15/2 + y =4

Move the terms without the y to the other side

-3/2y + y = -15/2 +4

Now multiple both side by 2

-3y +2y = -15+8

-y = -7

Y = 7 (ANSWER)

Now we substitute the y in the first equation so we can get the x

x = -1/2 (7) + 5/2

x = -7/2 + 5/2

x = -2/2

X = -1 (SECOND ANSWER)

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The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
aleksklad [387]

Answer:

Speed of Chris Huber = 30.726 m/s

Time taken by Sam = 5.55 s

Step-by-step explanation:

Given:

Distance = 200 m

Time taken by Chris Huber = 6.509 s

Now,

Speed of Chris Huber = \frac{\textup{Distance}}{\textup{Time}}

or

Speed of Chris Huber = \frac{\textup{200 m}}{\textup{6.509 s}}

or

Speed of Chris Huber = 30.726 m/s

Speed of Sam = Speed of Chris Huber + 19.0 km/h

Now,

1 km/hr = 0.277778 m/s

thus,

19.0 km/h = 19.0 × 0.27 = 5.278 m/s

thus,

Speed of Sam = 30.726 + 5.278 = 36.004 m/s

therefore,

Time taken by Sam = \frac{\textup{Distance}}{\textup{Speed}}

or

Time taken by Sam = \frac{\textup{200}}{\textup{36.004}} = 5.55 s

6 0
3 years ago
Write as an ordered pair. 4x+2y=16 and -4y+x=4
Margaret [11]

Answer:

(4,0)

Step-by-step explanation:

4x+2y=16

-4y+x=4

Multiply the first equation by 2

2(4x+2y)=16*2

8x +4y = 32

Add the 2nd equation

8x +4y = 32

x  -4y     =4

--------------------

9x            =36

Divide each side by 9

9x/9 = 36/9

x=4

Now solve for y

-4y +x =4

-4y +4 = 4

Subtract 4 from each side

-4y +4-4=4-4

-4y =0

Divide by -4

-4y/-4 =0/-4

y=0

(4,0)

4 0
3 years ago
Read 2 more answers
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