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taurus [48]
2 years ago
6

Use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x​

Mathematics
1 answer:
olga2289 [7]2 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

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3 (4x + 7) = 43; 12x + 21 = 43
777dan777 [17]

Answer:

Distributive property

Explanation:

You are distributing the 3 to the parenthesis to get 12x+21 =43

6 0
3 years ago
Read 2 more answers
What to do when u have improper fraction
Elina [12.6K]
Turn it into a mixed fraction
Hope this helped :)
4 0
3 years ago
Read 2 more answers
Least to greatest 3/2,0.25,-3/4,-1.0
Stels [109]
-1.0, -3/4, 0.25, 3/2


hope this helps :D
7 0
2 years ago
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Water is being pumped into an inverted conical tank at some constant rate. The tank has a height of 600 cm and the diameter of t
ankoles [38]

Answer:

The water is being pumped at a speed of

\boxed{\bf \frac{10592000*\pi}{27}\;cm^3/min}

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 200 cm satisfies the relation

r/200 = 400/600

<h3>(See picture attached) </h3>

So, r = 400/3 cm when the water is 200 cm high.

The volume of a cone with radius of the base = R is given by

\bf V=\frac{\pi R^2h}{3}

So, the volume of water when it is 200 cm high is

\bf V_1=\frac{\pi* (400/3)^2*200}{3}=\frac{32000000*\pi}{27}\;cm^3

One minute later, the height of the water is 200 cm + 20 cm = 220 cm

The radius now satisfies

r/220 = 400/600

and now the radius of the base is

r = 440/3

and the new volume of water is  

\bf V_2=\frac{\pi* (440/3)^2*220}{3}=\frac{42592000*\pi}{27}\;cm^3

So, the water is raising (being pumped) at a rate (speed) of

\bf V_2-V_1=(\frac{42592000*\pi}{27}-\frac{32000000*\pi}{27})=\frac{10592000*\pi}{27}\;cm^3/min

6 0
3 years ago
Find counter example to disprove the conjecture: 
romanna [79]

\frac{  - 2}{ - 1}  = 2
this is an example where the quotient is postive but the two numbers are negative
3 0
3 years ago
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