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Licemer1 [7]
3 years ago
6

What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

Mathematics
2 answers:
erastovalidia [21]3 years ago
5 0
4x + y = 5
3x + y = 8
y = -3x + 8

4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3

y = -3(-3) + 8
y = -9 + 8
y = -1
Mekhanik [1.2K]3 years ago
3 0

Answer:

x = -3 and y = 17

Step-by-step explanation:

The given system of equations is

4x + y = 5 --------(1)

and 3x + y = 8 ----------(2)

Now we subtract equation (2) from equation (1)

(4x+y) - (3x+y) = 5 - 8

(4x - 3x) + (y-y) = -3

x = -3

Now we put x = -3 in equation (1)

4(-3) + y = 5

-12 + y = 5

       y = 5 + 12 = 17

Therefore, x = -3 and y = 17 is the solution of the given system of equations.

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Is 1/3 greater than 5/6
Harman [31]
1/3 or 5/6 

Lets make the fractions into decimals. To make a fraction into decimal you have to divide the numerator by the denominator. The numerator is the top part of a fraction and the denominator is the bottom part of the fraction. 

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Calculations

1/3
1 ÷ 3 =  0.3333.... 

5/6 
5 ÷ 6 = 0.83333...

0.83333... is greater then 0.3333.....
Therefore 5/6 is greater then 1/3 
1/3 is smaller then 5/6 
5 0
3 years ago
Multiply and simplify
aleksandr82 [10.1K]

Answer and explanation:

1. 2 × 3/10 = 6/10 = 3/5

2. 8 × 4/8 = 32/8 = 4

3. 9 × 3/9 = 27/9 = 3

4. 12 × 2/11 = 24/11 = 2 2/11

5. 3 × 5/7 = 15/7 = 2 1/7

6. 2 × 3/5 = 6/5 = 1 1/5

7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2

8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2

9. 5 × 1/4 = 5/4 = 1 1/4

10. 11 × 2/7 = 22/7 = 3 1/7

Hope this helps!

4 0
3 years ago
If a baseball game lasted 3 1/4 hours and ended at 10 P.M. , at what time did they start
Orlov [11]
Subtracting 3.25 hours from 10 PM is subtracting 3 hours and 15 minutes from 10 PM. Doing this, we get that the game started at 6:45 P.M. Hope this helped!
5 0
3 years ago
The school board has approved the addition of a new sports team at your school.
motikmotik

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

<em><u>Hope this helps.</u></em>

6 0
3 years ago
Determine the standard deviation of the data below. (1, 2, 3, 4, 5)
Burka [1]

Answer:

\sqrt{2} or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. \sqrt{2}

4 0
3 years ago
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