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Mumz [18]
3 years ago
11

Find the solution of this system of equations

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

x=2, y=12

Step-by-step explanation:

8x - 4y = -32

-3x + 4y = 42

add the two equations together to eliminate y

8x - 4y = -32

-3x + 4y = 42

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

5x = 10

Divide by 5

5x/5 = 10/5

x=2

Now find  y

-3x+4y = 42

-3(2) +4y = 42

-6 +4y = 42

Add 6 to each side

-6+6 +4y = 42+6

4y = 48

Divide by 4

4y/4 =48/4

y=12

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The answer is a and c
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3 years ago
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The sum of eight times a number and fifteen is seven.Find the number. How do I work this out like these?
CaHeK987 [17]
(8x n) + 15=7 : 7-15= (-8), (-8)divided by 8= (-1) : n=(-1) : When you have problems like this it helps to work them backwards. Hope you understand this.
5 0
4 years ago
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 233 baseball cards
ICE Princess25 [194]

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

Initial = 150

<em />Additional = 10<em> (weekly)</em>

Sarah:

Initial = 233

Additional = 5 (weekly)

Required

Determine the number of weeks they have the same cards

Represent the number of weeks with w:

For Both individuals, number of card at any given week is:

Initial + Additional * w

So,

For Ryan, the expression is:

150 + 10 * w

150 + 10w

For Sarah, the expression is:

233 + 5 * w

233 + 5 w

To determine the number of weeks, we have to equate both equations:

150 + 10w= 233 + 5 w

Collect Like Terms

10w - 5w = 233 - 150

5w = 83

Solve for w

w = 83/5

w = 16.6

16.6 implies about 17 weeks, because 16.6 approximates to 17

<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>

5 0
3 years ago
It's a quartile question.
Mkey [24]

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

5 0
3 years ago
The total charge that has entered a circuit element is q(t) = 6 (1 - e-7t) when t ≥ 0 and q(t) = 0 when t &lt; 0. The current in
Bess [88]

Answer:

A=42, B=-7

Step-by-step explanation:

The current function of time is defined as follows:

I(t)=\frac{dq(t)}{dt}

where q(t) is the charge function.

For the given charge function of time q(t)=6\left( 1-e^{-7t}\right) we have the following current function:

I(t)=\frac{d}{dt} \left(6\left( 1-e^{-7t}\right)\right)=42e^{-7t}

In the problem it is proposed that I(t)=Be^{-At}.

Examining the expression of I(t) we obtained by deriving q(t) with the expression proposed by the problem and comparing term by term:

I(t)=Be^{-At}=42e^{-7t}

We conclude that A=-7 and B=42.

4 0
3 years ago
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