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Sonbull [250]
3 years ago
12

6x-y=-23 8x+3y=-9 Substition method (Show it step by step please!)

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

solution is (- 3, 5 )

Step-by-step explanation:

given the 2 equations

6x - y = - 23 → (1)

8x + 3y = - 9 → (2)

rearrange (1) expressing y in terms of x

y = 6x + 23 → (3)

Substitute y = 6x + 23 into (2)

8x + 3(6x + 23 ) = - 9

8x + 18x + 69 = - 9

26x + 69 = - 9 ( subtract 69 from both sides )

26x = - 78 ( divide both sides by 26 )

x = - 3

substitute x = - 3 into (3)

y = (6 × - 3 ) + 23 = - 18 + 23 = 5

solution is (- 3, 5 )


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Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0
2 years ago
How much profit does the company make from producing and selling four soccer nets? $51 $80 $109 $137.
Oksanka [162]

The  profit does the company make from producing and selling four soccer nets is $109, the correct option is C.

<h3>What is profit?</h3>

Profit is a financial benefit that is realized when the amount of revenue gained from a business activity.

Given

|Soccer nets per day | Total Cost | Total Revenue |

| 1 | 7$ | $30 |

| 2 | 9$ | $60 |

| 3 | 10$ | $90 |

| 4 | 11$ | $120 |

| 5 | 13$ | $150 |

The total cost in the four soccer = $11

The total revenue in the four soccer = $120

The profit does the company make from producing and selling four soccer nets is;

\rm Profit = Total \ revenue -Total \ cost\\\\Profit= 120-11\\\\Profit = 109

Hence, the  profit does the company make from producing and selling four soccer nets is $109.

To know more about profit click the link given below.

brainly.com/question/6402318

4 0
1 year ago
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konstantin123 [22]

Answer:

The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.

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HOPE THIS HELPS!

7 0
3 years ago
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lora16 [44]

Answer:

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Step-by-step explanation:

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Help please !!!
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The equation for this line would be y=2x-4
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