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MakcuM [25]
3 years ago
12

A variable needs to be eliminated to solve the system of equations

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Step-by-step explanation:

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Multiply the top equation by 5. Now multiply the bottom equation by −3. Next add the equations, and solve for y.

I hope it's helpful!

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On a coordinate plane, what is the distance between (-7, 3) and (2,3)?
Angelina_Jolie [31]

Answer:

The distance is 9

Step-by-step explanation:

Distance formula: \sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2   }

Plug in the points:

\sqrt{(2-(-7))^{2}+(3-3)^2   } = \sqrt{(9)^{2}+(0)^2   } = \sqrt{(9)^2} = 9

7 0
3 years ago
Which equation will have the same solution as 3 – 5(2x + 1) = 3(3 + x)?A.
Nonamiya [84]
The answer is C
expand the equation then you will get 3-10x-5=9+3x, simplify you get 13x=-11
4 0
3 years ago
Help with question 4 both a and b)
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3 0
3 years ago
It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petro
Simora [160]

The question is incomplete. Here is the complete question

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved

Answer:

(I) 11/70

(II) 1/10

Step-by-step explanation:

Metro trains contain 330,000 tons of CNG

3300 tons of diesel was saved

21000 tons of petrol was saved at the end of 2007

(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows

= 3300/21000

= 11/70

(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows

= 3300/33000

= 1/10

5 0
3 years ago
suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+
Tomtit [17]

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.

4 0
2 years ago
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