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mixas84 [53]
3 years ago
7

Solve the system of linear equations by substitution. 5x+2y=9 y-x= 8

Mathematics
2 answers:
mylen [45]3 years ago
6 0
  1. From equation 2(y-x=8)
  2. y=8+x.....name equation 3
  3. Sub equation 3 in equation 1
  4. 5x+2(8+x)-9=0 (Transpose the 9)
  5. 5x+16+2x-9=0 (Group the like terms)
  6. 5x+2x+16-9
  7. 7x+7
  8. x=7+7=14
  9. x=14

Varvara68 [4.7K]3 years ago
5 0

Answer:

x=1

y=9

Step-by-step explanation:

5x+2y=9 , y-x= 8

y=8+x

put 8+ x anywhere we see y

5x+2(8+x)=9

5x+16+2x=9

5x+2x+16=9

7x+16=9

16-9=7x

7=7x

divide both sides by 7

x=1

if x=1, then y-1=8

y=8+1

y=9

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Answer:

The null hypothesis is, {H₀}: p = 0.66, H₀: p = 0.66 .

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Step-by-step explanation:

Let p represent the proportion of students who are supportive of making the day before Thanksgiving a holiday.

Since two populations are considered, the alternative hypothesis for the difference of the means of the two populations has to be stated.

The proportion of two-third students are supportive of making the day before Thanksgiving a holiday is p = 0.66 obtained as shown below:

The null hypothesis is,

{H₀}:p = 0.66, H₀​: p = 0.66

The alternative hypothesis is,

{Hₐ:p > 0.66, Ha​: p > 0.66

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