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kow [346]
3 years ago
5

Solve the linear system

Mathematics
2 answers:
Aleks04 [339]3 years ago
7 0
1.5x+4y=16
5x+4(-16)=16
5x-64=16
5x=80
x=16

2.3x+6y=15
-2x+3y=-3

Multiply the 2nd equation by 2

3x+6y=15
-4x+6y=-6
7x=9
x=9/7

3x+6y=15
3(9/7)+6y=15
27/7+6y=15
6y=78/7
y=78/42 or 39/21 or 13/7

3.7y = -14x + 42 
<span>7y = 14 x + 14

-14x+42=14x+14
-28x=-28
x=1</span>
uranmaximum [27]3 years ago
3 0
1)\\ \\\begin{cases} 5x + 4y = 16 \\ y=-16\end{cases} \\ \\ \begin{cases} 5x + 4*(-16) = 16 \\ y=-16\end{cases} \\ \\ \begin{cases} 5x -64 = 16 \\ y=-16\end{cases}

\begin{cases} 5x = 16 +64\\ y=-16\end{cases} \\ \\ \begin{cases} 5x =80/:5 \ \\ y=-16\end{cases} \\ \\ \begin{cases} 5x = 16 +64\\ y=-16\end{cases} \\ \\ \begin{cases} x =16\\ y=-16\end{cases}



2)\\ \\\begin{cases} 3x+6y=15 \\ -2x + 3y = -3 \end{cases} \\ \\\begin{cases} 3x = 15-6y \ /:3 \\ -2x + 3y = -3 \end{cases} \\ \\ \begin{cases} x = 5-2y \\ -2*(5-2y) + 3y = -3 \end{cases} \\ \\\begin{cases} x = 5-2y \\ -10+4y + 3y = -3 \end{cases} \\ \\

\begin{cases} x = 5-2y \\ 7y = -3+10 \end{cases} \\ \\ \begin{cases} x = 5-2y \\ 7y = 7 \ /:7\end{cases} \\ \\ \begin{cases} x = 5-2 *1 \\ y =1 \end{cases} \\ \\ \begin{cases} x = 3 \\ y = 1 \end{cases} \\ \\



3)\\ \\\begin{cases} 7y = -14x + 42 \\ 7y = 14 x + 14 /:7 \end{cases} \\ \\\begin{cases} 7*(2x+2) = -14x + 42 \\ y = 2 x + 2 \end{cases} \\ \\ \begin{cases} 14x+14 = -14x + 42 \\ y = 2 x + 2\end{cases} \\ \\ \begin{cases} 14x+ 14x = 42 -14 \\ y = 2 x + 2 \end{cases}

\begin{cases} 28x = 28 \ /:28 \\ y = 2 x + 2 \end{cases}\\ \\\begin{cases} x = 1 \\ y = 2 *1+ 2\end{cases}\\ \\\begin{cases} x = 1 \\ y = 4 \end{cases}


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6. Problems and Applications Q6 Consider an economy that produces only chocolate bars. In year 1, the quantity produced is 3 bar
natulia [17]

Answer:

Year 1 GDP Deflator is 100%

Year 2 GDP Deflator is 30%

Year 3 GDP Deflator is 14.29%

Inflation Rate between year 2 and year 3 is 50%

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Step-by-step explanation:

Year 1  

 Price of chocolate bar is $2 and 3 bars are sold that year so the real GDP is 3 x $2=$6 which we are also given that this year is the nominal base year so the nominal GDP is also $6. GDP is the sum of all market value produced products in an economy. Therefore that’s why we calculated as the price of a chocolate multiplied the number produced. To calculate the GDP Deflator will be as follows:

GDP Deflator= (nominal GDP/Real GDP) x 100

                      = ($6/$6) x 100

                       = 100%  

Year 2

Price of chocolate bars is $4 per bar and 5 bars were produced therefore Real GDP =$4 x 5 = $20, now we will calculate the GDP deflator as we have been told that year  is the nominal year therefore nominal GDP is $6.

GDP Deflator= (nominal GDP/Real GDP) x 100

                       = ($6/$20) x100

                        = 30%

Year 3

Price of chocolate bars is $6 per bar and 7 bars were produced therefore Real GDP =$6 x 7 =$42, now we calculate the GDP deflator as we have been told that year 1 is the nominal year therefore nominal GDP is $6.

GDP Deflator = (nominal GDP/ Real GDP) x 100

                      = ($6/$42)

                       =14.29%

Now we calculate the inflation rate between year 2 and year 3.we use the CPI (consumer price index to get the inflation rate for year 2 ad 3)

Consumer Price Index = (Current price of bar/previous price of bar) x 100 formula for CPI

                      = ($6/$4) x 100= 150%-100%

                         = 50% is the inflation rate as the consumer price gave us a positive value.

Now we compute the real GDP growth rate between year 2 and year 3

Real GDP growth rate = [  (current Real GDP- Previous Real GDP)/Previous Real GDP] x 100

                                      = ($42-$20)/$20

                                       = 110% so real GDP grew by 110% from year 2 to year 3.

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the cost of $27 to produce 2 cameras $105 to produce 4 cameras whats the total cost to produce 5 cameras
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Answer:

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