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JulijaS [17]
3 years ago
7

The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x – 8y = 12) →

x – 2y = 3 2x = 18 What is the solution of the system of equations?

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

The solution of the given system is x = 9, y = 3.

Step-by-step explanation:

Here, the given system of equations,

x+2y=15--------(1)

x-2y=3---------(2)

Adding equation (1) and (2),

We get,

2x=18

x=9

From equation (1),

9+2y=15

2y=15-9

2y=6

y=3

Hence, the solution of the given system is x = 9, y = 3.

Step2247 [10]3 years ago
5 0

Answer:

(9, 3)  

Step-by-step explanation:

(1) 4(0.25x + 0.5 y) = 3.75 ⟶ x + 2y = 15

(2)                 4x - 8y = 12 ⟶ x  -  2y =   3

                                                    2x = 18

                                                       x = 9

                                               9 - 2y = 3

                                                   -2y = -6

                                                      y = 3

The solution of the system of equations is (9, 3).

The graph of Equation (1) (blue) intersects that of Equation (2) (red) at (9, 3).

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Anna35 [415]

Answer:

y - 2 = -2 (x - 7)

Step-by-step explanation:

first you need to find the slope. the slope formula is (y₂ - y₁) / (x₂ - x₁) and if you plug the numbers in [(6,4) as the ₁'s and (7,2) as the ₂'s], you will get (2 - 4) / (7 - 6) which is -2. the point slope form is y - y₁ = m (x - x₁). in your equation, it has half of it done using (7, 2), so we'll use that as the ₁. plug it in, and you get y - 2 = -2 (x - 7)

hope this helps!

3 0
3 years ago
You are a policy maker who is concerned with low standardized-test scores in high schools in your school district. You are inter
kap26 [50]

Answer:

The estimated impact of the experiment of offering test preparation classes is:

= 8 scores (in performance improvement).

Step-by-step explanation:

Average standardized-test score for the first 10 high schools = 69

Average standardized-test score for the second 10 high schools = 70

After 6 months:

Average standardized-test score for the first 10 high schools offered test preparation classes = 78

The change in the average standardized-test score for the first 10 high schools = 9 (78 - 69)

Average standardized-test score for the second 10 high schools not offered test preparation classes = 71

The change in the average standardized-test score for the second 10 high schools not offered the prep = 1 (71 - 70)

The estimated impact of the experiment of offering test preparation classes is:

= 9 - 1  

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8 0
3 years ago
Haruka hiked several kilometers in the morning. She hiked only 66 kilometers in the afternoon, which was 25\%25% less than she h
Rasek [7]

Answer:

He walked 8 km in the morning

Step-by-step explanation:

Do you want an explanation?


5 0
3 years ago
Please help me!!!! I don’t understand
ololo11 [35]

Answer:

<h2>m∠EFG = 126°</h2><h2>m∠GFH = 54°</h2>

Step-by-step explanation:

If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°

(look at the picture).

We have

m∠EFG = 5n + 16

m∠GFH = 2n + 10

Substitute:

(5n + 16) + (2n + 10) = 180             <em>combine like terms</em>

(5n + 2n) + (16 + 10) = 180

7n + 26 = 180            <em>subtract 26 from both sides</em>

7n + 26 - 26 = 180 - 26

7n = 154         <em>divide both sides by 7</em>

7n/7 = 154/7

n = 22

Insert the value of n into expressions that specify angle measures:

m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°

m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°

8 0
3 years ago
Wat are factors of 18 ??
Semenov [28]
<span>1, 2, 3, 6, 9, and 18</span>
7 0
3 years ago
Read 2 more answers
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