Solve the system of equation below using any method.
3x-2y=30
2x+3y=-19

Answers

Answer 1
Answer: { 3 x - 2 y = 30       * ( 2 )
   2 x + 3y = - 19   *  ( -3 )

         ↓

  6 x - 4 y = 60
- 6x  - 9  y = 57
______________
         -13 y = 117
 
               y = 117 / - 13
  
              y = - 9

For x :

3 x - 2y = 30

3 x - 2 ( -9) = 30

3 x  + 18 = 30

3 x = 30 - 18

3 x = 12

x = 12 / 3

x = 4

x = 4 and y = -9


hope this helps!




Related Questions

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Whyor why not?
Which of the following is the solution to 4 | x + 3 | ≥ 8?A. x ≤ -5 and x ≥ -1B. x ≥ -1C. x ≤ -5 or x ≥ -1D. x ≥ -5 or x ≥ -1
What's 0.003 1/10 of
10x 10y = 1 x = y - 3 what is the value of y?
The sum of a rational number and a rational number is rational. A.Always True B.Sometimes TrueC.Never True

Provide an appropriate response.39) Find a set of 7 scores that has the same mean but a smaller standard deviation than the
set {65, 71, 77, 80, 82, 90, 96}.

Answers

You don't even have to look up the definition of 'standard deviation'.  You only
have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average).  It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = 80 and 1/7 .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say 77, 78, 79, 80, 81, 82, and 84 .

Please help me with this question please is so hard

Answers

Answer:

1) $101,400

2) $27,000

Step-by-step explanation:

1) For this, we can first find how much she makes in a year from her salary alone:

$2,200×12= $26400.

Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:

3,000,000×0.025= $75,000

Adding these two gives us a total of $101400.

2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:

I= 5000(1.08)(5)

I= $27000

A kite is tied to the ground. The rays from the sun hit the kite perpendicular to the kite string, casting a shadow of the kite on the ground. The coordinates in the diagram are given in feet. What is the distance from where the kite is tied to the shadow? (3,12) (0,0)

Answers

so looking at the coordinates 3,12  and 0,0  if you were to add those two you would get 15 but the kite went up to about 12 feet high into the sky but it is at an angle of 3 feet ( perpendicular ) so I think that my best answer to give you is 15

But if you re looking for distance its  (Y2 - Y1) / X2 - X1
0 - 12 Divided by 3 - 0     |   -12 / Divided by 3 = -4
Than your answer would be -4

dose this help you in any way?


so if you are asking for the distance do y2-y1/x2-x1

0-12/3-0

-12/3=-4

so -4 units


Which of the following are dependent events?A.) Flipping a coin and getting tails, and then flipping it again and getting tails again
B.) Drawing a 2 from a deck of cards, not replacing it, and then drawing another 2
C.) Rolling a die and getting 6, and then rolling it again and getting 6 again
D.) Drawing a king from a deck of cards, replacing it, and then drawing another king

Answers

The answer is d cause the others are indepentent
The answer is b. i tested on this a couple days ago

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.

Answers

When the ball hits the ground, the height is 0.

0 = 100 - 16t²

0 = (10 - 4t)(10 + 4t)

0 = 10 - 4t     or     0 = 10 + 4t

4t = 10          or       -4t = 10

 t = (10)/(4)             or          t = -(10)/(4)

Time cannot be negative (unless you have a time machine) so disregard  -(10)/(4)

Answer: t = (5)/(2) = 2.5 seconds

Which of the following comparisons is false 4 liters=1 gallon 1 foot=1 meter 25 grams 1 ounce 10 kilometers = 9 miles

Answers

1 foot does not equal 1 metre
1 fool = 1 meter is incorrect