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Yakvenalex [24]
3 years ago
6

8x-6y=-18 8x+7y=9what does y equals

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
8x-6y=-18 = y=4x/3 +3  and 8x+7y=9 is 8x/7+9/7
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Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles
lana66690 [7]
<span>Let time taken by Luke to cover the distance = x hours Speed of Luke = 6 miles per hour Therefore, Distance covered by Luke = 6x ------(1) Speed of Micah = 4 miles per hour Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started. Therefore time taken by Micah to cover the distance = x+1/2 Distance covered by Micah = 4(x + 1/2) -------(2) Equating (1) and (2) 6x = 4(x+1/2) 6x = 4x +2 2x = 2 x= 1 Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
6 0
3 years ago
For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in
Rainbow [258]

Answer:

\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}  \begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}

Generally the echelon reduction is mathematically applied as

\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}

Add -2 times the 1st row to the 2nd row

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}

Multiply the 2nd row by -1/8  

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}

Add -1 times the 2nd row to the 3rd row

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}

Multiply the 3rd row by -8/41

\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Add -3 times the 2nd row to the 1st row

\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

3 0
2 years ago
Help with all three IM CONFUSED
icang [17]

Answer:

How does y vary with x?

This is called direct variation and to find proportionality, we use the formula y/x = K

Step-by-step explanation:

The first table's results would look like:

6:15

12:30

18:45

24:60

30:75

To do these, you divide the y values by the constant to receive x.

If you need more help, you message me :) Good luck with your work!

5 0
3 years ago
Read 2 more answers
Hey! Solving linear equations with integers! i don’t think it should be that hard since it’s practice, I just need some help wit
Dmitriy789 [7]

<u>Solution</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>

>> -3 (3 - x) = 2x + 5

>> -3 × (3 - x) = 2x + 5

>> -9 + 3x = 2x + 5

>> 3x - 2x = 9 + 5

>> x = 14

<u>Solution</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u>

>> -6 - 9p = 3p

>> -9p - 3p = 6

>> -12p = 6

>> p = -1/2

<u>Solution</u><u> </u><u>3</u><u> </u><u>:</u><u>-</u>

>> -5 (-4 - a) = 3a + 8

>> -5 × (-4 - a) = 3a + 8

>> 20 + 5a = 3a + 8

>> 5a - 3a = 8 - 20

>> 2a = -12

>> a = -12 / 2

>> a = -6

<u>Solution</u><u> </u><u>4</u><u> </u><u>:</u><u>-</u>

>> s - 6 = -5s

>> s + 5s = 6

>> 6s = 6

>> s = 6 / 6

>> s = 1

8 0
2 years ago
Read 2 more answers
If x is a positive integer, what is the length of the hypotenuse triangle C?
tresset_1 [31]

Answer:

c = 12.73

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = \sqrt{162}

c = 12.7279221

c = 12.73

Mark brainliest please!

3 0
2 years ago
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