Find the solution to the system of 5x+2y=-24 x-y=5

Answers

Answer 1

Answer: So to do this, we have to get rid of one of the variables by adding or subtracting the two equations together.
I will get rid of y. So, we can multiply the second equation by 2. This gives us
2x-2y=10
Now, we can add both equations
This gives us 7x=-14
Therefore, x = -2
Plug that into another equation.
-10 + 2y=-24
Therefore, y = -7

Hope this helped!! :D

Answer 2

Answer: 5x + 2y = -24 ⇒ 5x + 2y = -24
1x - 1y = 5 ⇒ 2x - 2y = 10
      7x = -14
   7    7
   x = -2
      x - y = 5
      -2 - y = 5
      + 2    + 2
   -y = 7
   -1   -1
   y = -7
   (x, y) = (-2, -7)

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Jane Hilman went to her bank. She had a balance of $2,539.78 in her savings account. She withdrew $150.00 and the teller credited her account with $6.19. What is her new balance?The new balance will be $ ____

Answers

Answer:

New Balance of Jane Hilman savings account = $2395.97

Step-by-step explanation:

Amount of money Jane Hilman had in her account = $2539.78

Amount of money withdrew by her when she went to the bank = $150

Amount of money left in her account after withdraw = 2539.78 - 150

= $2389.78

Also, Teller credited her account with $6.19

And we need to find the new balance of Jane Hilman account

Thus, New Balance of Jane Hilman savings account = 2389.78 + 6.19

= $2395.97

$150-$6.19=$143.81

2,539.78-143.81=2395.97

John wants to fence in a portion of his back yard. The dimensions of the area is 12 1/2 yards long and 5 1/2 yards wide. How many feet of fencing does john need to buy to enclose this area?

Answers

25 and 11... so, ultimately, it would be 36 feet of fencing that he needs.

---------------------------------
| 5 1/2 yards |
| |
| |
| |
| | 12 1/2 yards
| |
| |
| |
____________________
5 1/2 yards

The surface of this shape is called a rectangle.
Opposing sides of the rectangle are of equal length .
To fully fenced backyard you have to put a fence line the sides of the rectangle. The length of the fence will be equaled total sides of the rectangle.
the sum of the sides of the rectangle = perimeter of a rectangle
2a + 2b = P

a = 12 1/2 yards
b = 5 1/2 yards

2* 12 1/2 yards + 2* 5 1/2 yards = 25yards + 11 yards = 36 yards

Answer : 36 uards

True or false the origin would be included in the solution set for the following inequality: y>3x-9

Answers

Origine = (0 ; 0)

0 > 3*0 - 9
0 > 0 - 9
0 > - 9

It's true.

$0>3\cdot0-9\n 0>-9$

True.

The number of gallons of water in a tank, over a period of x hours is shown in the graph below. How many gallons of water will there be in 10 hours.

Answers

Answer:

40,200 gallons

Step-by-step explanation:

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

Answers

Answer:

Gym B and Gym A charge the same hourly rate for the children.

Step-by-step explanation:

They are the same amount. if you divide 60 by 5 it is 12 and when you multiply .75 by 12 it equals 9. so Both are $9.00 an hour.

what are the solutions of the equations x^2+14x=-130? (1point) a.2,-16 b.10,-13 c.-2,16 d.no solution

Answers

$x^2+14x=-130\nx^2+14x+49=-81\n(x+7)^2=-81$

no solutions in $\mathbb{R}$

in $\mathbb{C}$
$x+7=-√(-81) \vee x+7=√(-81)\nx=-7-√(-81) \vee x=-7+√(-81)\nx=-7-9i \vee x=-7+9i\n$

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