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Juli2301 [7.4K]
2 years ago
5

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

Mathematics
1 answer:
Basile [38]2 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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Solve -1/8y ≤ 34. then graph the solution.
motikmotik

Answer:

Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8

y ≥ 34 x −8

Multiply 34 by −8.

y≥−272

Step-by-step explanation:

4 0
2 years ago
Can a linear function be continuous but not have a domain and range of all real numbers
ivolga24 [154]
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4 0
3 years ago
A right cubic prism has edges of 2 1/2 inches. How
3241004551 [841]

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.  

8 0
2 years ago
How do you write 5 out of 6 in a fraction. Show how you got the answer.
antiseptic1488 [7]

Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

6 0
2 years ago
Read 2 more answers
Simplify each expression <br><br>1+10a-5a <br>x-9-3x
Burka [1]
1.) 1+10a-5a
Subtract 5a from 10a
Final Answer: 1+5a

3.) x-9-3x
Subtract 3x from x
Final Answer: -9-2x

5.) 1-4n+2n-1
Subtract 1 from 1
-4n+2n
Add
Final Answer: -2n

7.) 10k-3k
Subtract
Final Answer: 7k

9.) 5r+4-4
Subtract
Final Answer: 5r
7 0
3 years ago
Read 2 more answers
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