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Elden [556K]
2 years ago
8

9. What is the value to the solution for the system of equations y = -5X-9 and y = 2x + 5.​

Mathematics
1 answer:
sertanlavr [38]2 years ago
5 0

9514 1404 393

Answer:

  (x, y) = (-2, 1)

Step-by-step explanation:

Equate the two expressions for y.

  -5x -9 = 2x +5

  -14 = 7x . . . . . . . .add 5x-5

  -2 = x . . . . . . . . . divide by 7

Then ...

  y = 2(-2) +5 = 1

The solution is (x, y) = (-2, 1).

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0.27 ÷ 0.03 = explain each and every step in this process
GREYUIT [131]
0.27 divided by 0.03 = 9


think of it this way it's like doing it 27 divided by 3 which is = 9


but then u see
9x3=27
9x0.3=2.7

so that must mean
9x0.03=0.27
u basically move the decimal point, in this problem its moved 2 or 3 times.
7 0
3 years ago
The coefficient of xy in the product of (4x^2y+)and(3x+y^2) is
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liraira [26]
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3 years ago
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
I’m short word form 2,000,000+500,000+30,000+5,000+8
sasho [114]

Answer:

2,535,008

two million , five hundred thirty five thousand, eight

4 0
1 year ago
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