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Juli2301 [7.4K]
3 years ago
5

Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution

Mathematics
1 answer:
Basile [38]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

__

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

  -4(2x -7y) +7(7x -4y) = -4(19) +7(5)

  -8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

  41x = -41 . . . . . simplify

  x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

  (7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

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A ball is thrown into the air with a initial velocity of 25 meters per second.The function h(t)+-4.9t^2+25t+6 represents the hei
Rainbow [258]

Answer:

36.9 m

Step-by-step explanation:

h(t) = -4.9t² + 25t + 6

At t = 3:

h(3) = -4.9(3)² + 25(3) + 6

h(3) = -44.1 + 75 + 6

h(3) = 36.9

After 3 seconds, the ball will have a height of 36.9 meters.

6 0
3 years ago
Find an<br> expression which represents the sum of (7x - 8y) and (-6x - 6y) in<br> simplest terms.
grigory [225]

Answer:

\displaystyle (7x - 8y) + (-6x - 6y) = x - 14y

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle (7x - 8y) + (-6x - 6y)<em />

<em />

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                    \displaystyle (7x - 8y) + (-6x - 6y) = x - 8y - 6y
  2. Combine like terms (y):                                                                                    \displaystyle (7x - 8y) + (-6x - 6y) = x - 14y
3 0
3 years ago
This one too please!!!!!!!!!
Vinvika [58]
X= 0 and 1 are the answers
7 0
3 years ago
Can someone please help me? I just need to get the variable alone to see what it equals, if it doesn’t have a solution, or if it
love history [14]

Answer:

the answer would be p= -4

13-3p = -5(3+2p)

13-3p = -15-10p

13 = -15-7p

28 = -7p

p = -4

4 0
3 years ago
Read 2 more answers
What is 42/70 x 20/22
rusak2 [61]

Answer:

6/11 or 0.545

6 0
3 years ago
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