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WARRIOR [948]
4 years ago
7

How many solutions does this system have?

Mathematics
2 answers:
barxatty [35]4 years ago
6 0

Answer:

The solution for the system is the pair (6,1).

Step-by-step explanation:

The system has two equations and two variables, therefore i has only one solution. To solve it we will multiply the second equation by "-2". So we have:

2x-4y = 8

x + y = 7 *(-2)

2x - 4y = 8

-2x -2y = -14

We now sum boh equations:

2x -2x -4y -2y = 8 -14

-6y = -6

y = -6/-6 = 1

2x - 4(1) = 8

2x - 4 = 8

2x = 8 + 4

2x = 12

x = 12/2 = 6

The solution is the pair (6,1).

Juli2301 [7.4K]4 years ago
4 0

Answer:

The system has 2 solution .

Step-by-step explanation:

The equation is a simultaneous equation

2x - 4y=8 ............(i)

x + y=7................(ii)

make x the subject of the formula in equation (ii)

x = 7 - y

Substitute the value of x in equation(i)

2(7 - y) - 4y = 8

14 - 2y - 4y = 8

14 - 6y = 8

-6y =  8 - 14

-6y = -6

divide both sides by -6

y = 1

insert the value of  in equation (ii)

x + y = 7

x + 1 = 7

x = 7 - 1

x = 6

The system has 2 solution .

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andreev551 [17]

Answer:

1.x=15

2.<A=29

Step-by-step explanation:

(2x-1)+(3x+9)+(6x+7)=180

2x-1+3x+9+6x+7=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

2.<A=2x-1

  <A=2*15-1

  <A=30-1

  <A=29

   

3 0
3 years ago
Even number between 3 and 9
vodka [1.7K]

Answer:4, 6, 8,

Step-by-step explanation:

odd numbers 1,3,5,7,9,11

even numbers 2,4,6,8,10

7 0
4 years ago
Read 2 more answers
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
Oksanka [162]

answer: D) 439.85

Step-by-step explanation:

we are given the price of the bike which is $413.

we are also given the sales tax which is 6.5%.

sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.

we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85

4 0
4 years ago
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Find the surface area of the regular pyramid
love history [14]

Greetings from Brazil!

4\dfrac{1}{2} =\dfrac{9}{2}

Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2

Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2

At=Af1+Af2\\At=36+20,25\\At=56,25~m^2

I hope I helped you! =)  

6 0
3 years ago
Through: (-5, -5), slope=2/5
kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

y = mx + b

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: m = \frac {2} {5}

Thus, the equation is of the form:

y = \frac {2} {5} x + b

We substitute the given point and find "b":

-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3

Finally, the equation is:

y = \frac {2} {5} x-3

Answer:

y = \frac {2} {5} x-3

4 0
3 years ago
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