10x - 6y = 16

5x - 3y = 8



She multiplies the second equation by 2, then subtracts the resulting equation from the first. To her surprise, she gets the equation 0 = 0.



What is special about this system of equations? Why does she get this result and what does it mean about the solutions?

Answers

Answer 1

Answer:

If we solve any such equation and get the answer as 0 = 0 so this means that system of equations has infinite solutions.

Step-by-step explanation:

Hope it helps you!!

Related Questions

3/x+5/ychange each fraction to have common denominators

Answers

Answer:

The common denominater for this is 15

Step-by-step explanation:

The sum of three consecutive even numbers is 138. Find the numbers.

Answers

Even numbers are numbers that are divisible by two. Let’s suppose we pick an even number and call it “n”. We don’t know what the number itself is, but we know that it’s even.

The next consecutive even number is the very next even number in the sequence; this can be determined by adding two to the first even number. That means that the next consecutive even number after “n” is “n+2”. The same thing holds for the following even number, except this time it’s “n+2+2” or “n+4”.

We are told that the sum of these three consecutive even numbers is 138. If we write this in the form of an equation, we have:

138 = n + (n+2) + (n+4)

Now, simplify and solve for n:

138 = 3n + 6; 132 = 3n; n = 44.

The first even number is 44, and the two following are 46 (44 + 2) and 48 (44 + 4).

Hope this helps!

plz help i give brainliest and points

Answers

Answer: 1squared

Step-by-step explanation:

Answer:

b. 2

c. 4

Step-by-step explanation:

The degree of the polynomial is highest power in the polynomial.

Ok i just learned this ;-;

Answers

Answer:

x-axis = (18, 0)

y-axis = (0, 12)

Quadrant I = (4.5, 10.6)

Quadrant II = (-15, 21)

Quadrant III = (-3/4, -4 1/9)

Quadrant IV = (3, -7)

Step-by-step explanation:

Hope this is helpful.



GEOMETRY For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an

inequality

Answers

Answer:

Step-by-step explanation:

Find the area of the shaded region in terms of r.

1. The area of the circle with radius r is

2. The area of the square with diagonal 2r is

3. The area of the shaded region is the difference

Since the area of the shaded region must be greater or equal to  then

This inequality is solved only in positive numbers, because r cannot be negative.

if the original quantity is 8 and the new quantity is 4 what is the percent decrease

Answers

Answer:

50% decrease

Step-by-step explanation:

it would be a 50% decrease because half of 8 is 4 and 1/2 is 50 %.

here is the other question ​

Answers

Answer:

1 Donut: $1.29

1 Hot Chocolate: $2.79

Subtotal: $4.08

Discount: $0.61

New Subtotal: $3.47

Tax: $0.28

Total: $3.75

Step-by-step explanation:

Here ya go! Sorry it took so long.

1. Which equation can be used to describe the relationship
between x and y in the table below?
X
у
192
2. 4
4
160
6
128
8
96

Answers

Answer:

x2  y-32

Step-by-step explanation:

Answer:

[tex]y=224-16x[/tex]

Step-by-step explanation:

Stare at the table for a bit. if you look at the y you can tell that the difference between two rows is the same, and it's equal to 32: every time x increases by 2, y decreases by 32; it means that if x increased by 1, y would decrease by 16. At this point we can write the equation as [tex]y=q-16x[/tex] To find q there are 2 ways: one is to plug the value from any line in place of y and x, or, more elegant, is to backtrack the table: if y goes down by 32 when x raises by 2, it emans that if x decreases by 2, y will go up by 32. And 192+32 is 224, our q value.

Start with a unlock code of 100. For each of the following statements that is true, add 10 TIMES its statement number to the unlock code. Enter your final number to unlock the door

1. 1/2 + 3/4=3/4

2. 5/8 - 1/4 = 3/8

3. 4/5 + 7/10 = 1 1/2

4. 2 1/2 - 1 5/6 =1/6

Answers

The code to unlocking the door is 118.75

1/2 + 3/4 = 3/4 ........... false, so we do not add anything

5/8 - 1/4 = 3/8 ............ true, so we have  (10 * 3/8) = 15/4

4/5 + 7/10 = 1 1/2 ....... true, so we have  (10 * 1 1/2) = 15

2 1/2 - 1 5/6 = 1/6 ...... false, so we do not add anything.

we are then left with 15/4 and 15, on adding all together, we have

100 + 15/4 + 15 = 118.75

for more on simple additions, see https://brainly.com/question/4933260

HELP PLZZZZZZZZZ this has to be done by 11:59 i really need help :(

Answers

-7,1,3
Domain is the x
Range is the y

What is the slope of the line represented by the equation
y = 1/3x + 4

Answers

Answer:

Refer to the graph. This might help you

Answer:

1/3

Step-by-step explanation:

y=mx+b

m is the slope

b is the y intercept

y=1/3x+4

1/3 = slope

4 = y intercept

Making the answer 1/3.

Describe of 45 angle

Answers

Answer: A 45-degree angle is exactly half of a 90-degree angle formed between two rays. It is an acute angle and two angles measuring 45 degrees from a right angle or a 90-degree angle. We know that an angle is formed when two rays meet at a vertex.

can anyone help please im havinga prblem in this thank u

Answers

Yeah Bro ! I'm here ,

.Given that ;-

slope ( m) = 3/2

y-intercept (c) = -3

Now ,

we know the equation of straight line in slope intercept form;

I.e

y = mx+c

Just substitute m and c 's value , we get

y= (3/2)x +( -3)

or,. y = 3x/2 - 3

[tex]y = \frac{3x}{2} - 3 \\ y = \frac{3x - 6}{2} \\ 2y = 3x - 6 \\ 3x - 2y = 6\\ [/tex]

,

Hence 3x-2y = .6

3x-2y-6 =0 is the required equation.

can someone factorize 7x+xz+7z+z2 for me?

Answers

Answer:

Step-by-step explanation:

in which way do you want it factorized?

Find the slope of a line that passes through the points (3,5and(,6- 10) Find the slope of a line that passes through the points (2,-4) and (2,10)​

Answers

Answer:

Slope: -5

Slope: 0 (undefined)

Step-by-step explanation:

(-10-5)/(6-3) = - 15 / 3 = -5

(10- - 4)/(2-2) = 14/0

Which is equivalent to 104?
**
Can I please get an answer will give brainliest

Answers

Answer:

number 2 is right

Step-by-step explanation:

the second one

I need help, answering this!

Answers

Answer:

The length is 15.71 feet.

Step-by-step explanation:

Solve the following equation
x²-10x+25=0

Answers

Answer:

X=5

Step-by-step explanation:

You want to factor the left side of the equation

(X-5)(x-5)=0

Set factors that will equal to 0

X-5=0

X=5 is the answer

8. Evaluate: f(x) = x2 + 1
g(x) = 5 - x
a. (f+g)(x) =
b. (f-g)(x) =

Answers

Answer:

(f+g)(x)=2x+1+5 - x

(f+g)(x)=x + 6

(f - g)(x)= 2x + 1 - (5- x )

(f - g)(x)= 3x - 4

-6 a solution to x<-8 yes or no

Answers

Answer:

No its not

Step-by-step explanation:

-6 is greater then -8 and in this case it’s not less then -8


If f(x) = 3x + 2 and g(x) = x2 – x, find each value.
-
27. g(3b)

Answers

Answer:

F(2)=8 and G(2)=4

Step-by-step explanation:


Name the
alternate
interior angle
with angle 5.

Answers

Answer:  B) angle 4

==================================

Explanation:

We can think of lines L and M as sort of train tracks. Inside the train tracks we have the interior angles of: 3, 4, 5, 6

Angles 3 and 6 are one pair of alternate interior angles. They are on alternate sides of the transversal line N.

The other pair of alternate interior angles are 4 and 5

Alternate interior angles are only congruent when L and M are parallel.

Answer:

Angle 4

Step-by-step explanation:

I believe it's on the opposite side of the transversal so yee

Coneys ice cream store records the daily temperature and the number of ice cream cones it sells each day the table shows data for several days a linear function can be used to model the data

what is the best prediction of the number of ice cream cones sold on a day that has a temperature of 90°F?

A) 165 ice cream cones

B) 185 ice cream cones

C) 200 ice cream cones

D) 220 ice cream cones

Answers

Answer:

The answer is B

Step-by-step explanation:

A student averaged 45 miles per hour on a trip. What was the students speed in feet per second? with solutions please​

Answers

Answer:

[tex]66 \: ft/sec[/tex]

Step-by-step explanation:

[tex] = \frac{45 \: mi}{hr} \times \frac{5280 \: ft}{1 \: mi} \times \frac{1 \: hr}{3600 \: s} [/tex]

[tex] = 45 \frac{5280}{1} \times \frac{1}{3600}ft/sec \\ [/tex]

[tex] =66 \: ft/sec[/tex]

solve for me please this is trigonometry

Answers

Answer:

[tex] x= 23.4[/tex]

Step-by-step explanation:

In a right triangle the tangent of an angle is the ratio of the opposite length over the adjacent*. In formulas, [tex]tan 54° = x/17[/tex] Solving for x, using a calculator for the tangent, [tex] x= 23.4[/tex]

*I promise I didn't just spellcheck that.

The sum of a number times 7 and 24 is at most -18. Use the variable x for the unknown number.

Answers

Answer:

unknown number=-6

Step-by-step explanation:

Let x be the unknown number.

7x+24=-18

      7x=-18-24

          =-42

        x=-42÷7

          =-6

Hence, unknown number=-6.

Answer:

Step-by-step explanation:

10n + 27 >= -18

Simplify the linear expression.

−2/3a+1/8−1/6a−3/4

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

-5/6a - 5/8

Step-by-step explanation:

i took the k12 quiz

What is the inverse of h(x)=3 square root x -3

Answers

Answer:

y = [tex]\frac{x^{2} + 27}{8}[/tex]

Step-by-step explanation:

To find the inverse, we will set it equal to y, switch the x and y values, then solve for y.

[Given] h(x)=3 square root x -3

[Rewrite] y = 3 [tex]\sqrt{x-3}[/tex]

[Switch values] x = 3 [tex]\sqrt{y-3}[/tex]

[Square both sides] x² = 9(y - 3)

[Distrubte] x² = 8y - 27

[Add 27 to both sides & flip equation] 8y =  x² + 27

[Divide both sides of 8] y = [tex]\frac{x^{2} + 27}{8}[/tex]

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5/2=? ?/? ill give brainliest

Answers

Answer:

Okay so you jsut gotta divide

5/2 is basically saying 5 divided by 2, the bar basically means divide by.

Now 5/2 is 2.5

2.5 into a mixes is 2 1/2

What is 16 divided by 132.16

Answers

The answer is 8.26.
I think so
16 divided by 132.16 is 0.1…. But 132.16 divided by 16 is 8.26
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