1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ICE Princess25 [194]
3 years ago
10

How many solutions does this system have? 2 x - 3 y = 10. -4 x + 6 y = - 20.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:  The correct answer is:  [D]:  " No solution " .

______________________________________

Step-by-step explanation:

We are given the following system of equations:

   2x − 3y = 10 ;

     -4x + 6y  =  -20 ;

_______________________________________

  Let us take the second equation:

   -4x + 6y  =  -20 ;

     and multiply each side by "-1 " ; to get rid of the "negative numbers" ; and to rewrite the equation without the "negative numbers" :    

       - 1 * { - 4x + 6y }  =  -1 * (-20} ;

  to get:

       4x − 6y = -20 ;

Now, let us simply this equation further; by divide each side of the equation by "2" ;

       (4x − 6y) / 2  =  (-20) / 2 ;

          → [ (4x) / 2 ]    −  [ (6y) / 2 ]  =  -10 ;

   to get:   2x  −  3y  = -10 ;

Then we have: 2x − 3y = 10 ;  

                    <u>Note</u>:    10 ≠ -10 .

_______________________________________

So the answer is: [D]: " No solution."

_______________________________________

Hope this explanation helps you!  Best wishes!

_______________________________________

You might be interested in
How do you do this question?
likoan [24]

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

8 0
2 years ago
What is the range of this function: y = x2 −5
Firdavs [7]
I think it might be the last one. Hope it helps:)
7 0
3 years ago
Which best describes Imara’s error?
Sati [7]
<h2>Answer:</h2>

The statement that best describes Imara's error is:

                         Option: D

  D). She did not find the side lengths of the square with an area of 625.

<h2>Step-by-step explanation:</h2>

Imara correctly did the previous calculation.

i.e. she correctly determined the area of square with side length 20 units (as 400 square units) and 15 units (i.e. 225 square units)

But when she sum the area of two squares then it won't give the length of hypotenuse it would give the  area of a square.

                      Hence, the correct answer is:

                              Option: D

7 0
3 years ago
I neeeeedddddd helppppppp
Eddi Din [679]
The answer is 48 degrees because you add 42 and 90 and then subtract from 180 (total degrees of a triangle)
8 0
2 years ago
Need help fast due today thanks
cricket20 [7]

1

Move everything to the left by subtracting 25 from both sides:

81x^2-25=0

Both terms are squares: 81x^2 is the square of 9x, while 25 is the square of 5. So, we can apply the factoring

a^2-b^2=(a+b)(a-b)

To factor the expression as

(9x+5)(9x-5)=0

A multiplication is zero if and only if one of the factors is zero, so we have

(9x+5)(9x-5)=0 \iff 9x+5=0 \lor 9x-5=0 \iff x=-\dfrac{5}{9} \lor x=\dfrac{5}{9}

2

The discriminant of the quadratic expression ax^2+bx+c is defined as

\Delta = b^2-4ac

So, you have

\Delta = 0^2-4\cdot(-1)\cdot(-25) = -100

3

Similarly, we have

\Delta = 7^2-4\cdot(-3)\cdot 6 = 49+72=121

8 0
3 years ago
Other questions:
  • How many tickets were sold between 12pm and 3pm?
    14·2 answers
  • a rectangle has a length that is 6 inches longer than its width. if w represents, the width, write an expression, in terms of w,
    9·2 answers
  • Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width o
    11·2 answers
  • If the product of x^2a-1/y^3b+4 and x^7b-4/y^10-a is x^24/y^19 find the value of a and b
    13·1 answer
  • What is the answer to 3 x - {-4 x} +12?
    8·2 answers
  • Which of the following is a solution for 5 - 2xs-3?<br> -4<br> 4<br> 1<br> -1
    10·1 answer
  • Divide.<br><br> 51.75 ÷ 15<br><br><br> 3.45<br><br> 34.5<br><br> 345<br><br> I don't know.
    11·1 answer
  • The total surface area of rectangular solid is 130 cm.If the solid is 7 cm long and 5 cm wide,calculate the height.​
    9·1 answer
  • - Four students play a video game.
    13·1 answer
  • Let f= {(1,2),(2,3),(3,5),(4,7)}<br><br> What is f ⁻¹ ∘ f
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!