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HACTEHA [7]
2 years ago
5

How do you solve -3x+y=7 5x+2y=3 by substitution method??

Mathematics
2 answers:
JulsSmile [24]2 years ago
8 0
Yes you would have to solve this problem by substitution method
lakkis [162]2 years ago
8 0

Answer:

(-1,4)

Step-by-step explanation:

-3x + y = 7......y = 3x + 7

so sub in 3x + 7 in for y back into the other equation

5x + 2y = 3

5x + 2(3x + 7) = 3 ...distribute thru the parenthesis

5x + 6x + 14 = 3....subtract 14 from both sides

5x + 6x = 3 - 14...combine like terms

11x = - 11...divide both sides by 11

x = -11/11

x = -1

now that we know x = -1, we can sub that back into either of the original equations to find y

y = 3x + 7

y = 3(-1) + 7

y = -3 + 7

y = 4

so we have (-1,4) as a solution....but lets check it first

-3x + y = 7

-3(-1) + 4 = 7

3 + 4 = 7

7 = 7 (correct)...it checks out

so ur solution is : x = -1 and y = 4 or (-1,4)

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2a+4(7+5a)I need help
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2a+4(7+5a)

Distribute 4 into 7 and 5a

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2 years ago
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What is Pythagoras Theorem ?
Nikitich [7]
Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a<em><u /></em>²+b²=c²
However, it can also be written in the form of c²=a²+b²
In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.
As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.
3²=9 and 4²=16.
As you're looking for C, you've got to add these together
9+16=25
As a²+b²=c², this means that the answer for C is the square root of 25.
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Hope this has been able to help you :) 
5 0
2 years ago
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Approximately 32,400 citizens of the country died in 2015. Express the toll in deaths per day
Zigmanuir [339]

There is 90 deaths per day.

First it tells us 32,400 people died in 2015, which also mean that many people died that year.

We have to find the number of people died each month first.

32,400÷12 because 12 is the total number of months in a year.

2700 people died in a month, not we need to find how many people died each day so we divided it by 30 and we get

90 deaths per day.

8 0
3 years ago
All cars can be classified into one of four​ groups: the​ subcompact, the​ compact, the​ midsize, and the​ full-size. There are
Olegator [25]

Answer:

p value = 0.302

Step-by-step explanation:

Given that all cars can be classified into one of four​ groups: the​ subcompact, the​ compact, the​ midsize, and the​ full-size. There are five cars in each group. Head injury data​ (in hic) for the dummies in the​ driver's seat are listed below.

H_0: All cars have same mean values

H_a: atleast two cars have different mean values

(Two tailed anova test)

Anova: Single Factor      

     

SUMMARY      

Groups Count Sum Average Variance  

Subcompact 5 3444 688.8 48502.7  

compact 5 2879 575.8 4582.7  

Midsize 5 2534 506.8 18720.2  

Full size 5 2689 537.8 23905.2  

     

     

ANOVA      

Source of Variation SS df MS            F             P-value F crit

Between Groups 94825 3 31608.33 1.321    0.302           3.24

Within Groups 382843.2 16 23927.7    

     

Total 477668.2 19    

Since p value of 0.302 is greater than 0.05 significance level we accept null hypothesis.

p value = 0.302

6 0
2 years ago
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