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AVprozaik [17]
3 years ago
14

What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =

(1)/(2), y = (9)/(2)` D. x = –3, y = 7
Mathematics
2 answers:
Masteriza [31]3 years ago
5 0

For this case we have the following system of equations:

x-3y = -13\\5x + 7y = 34

From the first equation we clear "x":

x = -13 + 3y

We substitute in the second equation:

5 (-13 + 3y) + 7y = 34

We apply distributive property:

-65 + 15y + 7y = 34

We add similar terms:

-65 + 22y = 34

We add 65 to both sides:

22y = 34 + 65\\22y = 99

We divide between 22 on both sides:

y = \frac {99} {22}\\y = \frac {9} {2}

We look for the value of the variable "x":

x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}

Thus, the solution of the system is:

(x, y): (\frac {1} {2}, \frac {9} {2})

ANswer:

(x, y): (\frac {1} {2}, \frac {9} {2})

Anna71 [15]3 years ago
4 0

Answer:

C. X=1/2, Y=9/2

Step-by-step explanation:

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8 0
3 years ago
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Vedmedyk [2.9K]
F(x) = 8 - 10x

g(x) = 5x + 4

Finding (fg)(-2).

First let us find fg(x),  this is the same as f(g(x))

f(g(x))

f(5x + 4)

Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) =  8 - 10(5x + 4)

             =  8 - 50x - 40

             = -50x + 8 - 40

             =  -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.
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3 years ago
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work.
Darya [45]

Answer:

224 m^3

Step-by-step explanation:

Volume = l x w x h

V = 8 x 4 x 7

V = 32 x 7

V = 224 m^3

Have a great day!  :D

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3 years ago
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