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2 years ago

Solve the system of equations: 8x + 3y = 13 3x + 2y = 11

Mathematics

1 answer:

Sonbull [250]2 years ago

8 0

Answer:

1.x=13/8-3y/8

2.x=11/3-2y/3

Step-by-step explanation:

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9 is the answer for that problem

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3 years ago

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For what value of x does the function have an output of -7, given that g(x) = -3x + 8

madam [21]

Answer:

X=5

Step-by-step explanation:

-3x+8=-7

-3x=-15

X=5

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3 years ago

Gavin and his three friends want to share 1/3of cake equally. Gavin says that each friend will get 1/9 of the cake. Use the drop

Alexxandr [17]

Answer: Incorrect

Step-by-step explanation:

Given

Gavin and his three friends wants to share $\frac{1}{3}$ of cake equally.

So, there are 4 members to distribute the cake

Each member will get

$\Rightarrow \dfrac{\dfrac{1}{3}}{4}\\\\\Rightarrow \dfrac{1}{3\times 4}=\dfrac{1}{12}$

So, each member get one-twelvefth of the given cake.

Hence, Gavin is incorrect.

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3 years ago

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Multiply 58x7.<br> Enter your answers in the boxes to complete the area model,<br> 7<br> 58 x 7 =

zubka84 [21]

Answer:

$7 \times 58 = 406$

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2 years ago

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(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

7 0

3 years ago