What is the nature of the solution set to the following system of equations?
5x - y = 2
2x -0.5y = 3

O One solution at (-4,-4)
O Infinitely many solutions
O One solution at (-4,-22)
ONo solutions​

Answers

Answer 1

Answer:

One solution at (-4, -22)

Step-by-step explanation:

5x - y = 2

y = 5x - 2 --(1)

2x - 0.5y = 3 --(2)

sub (1) into (2):

2x - 0.5(5x - 2) = 3

2x - 2.5x + 1 = 3

-0.5x = 2

x = -4

when x = -4, y = 5(-4) - 2 = -22

Answer 2

The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

5x - y = 2   .. (i)

2x - 0.5y = 3  .. (ii)

Now, We can simplify as;

From (i);

5x - y = 2

y = 5x - 2

Put above value in (ii);

2x - 0.5 (5x -2) = 3

2x - 2.5x + 1 = 3

- 0.5x = 2

x = - 4

From (i);

y = 5 × - 4 - 2

y = - 20 - 2

y = - 22

Thus, The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7


Related Questions

If you have seen the user GOGETA10 please let me know. He is important to me

Answers

Answer:

sure

Step-by-step explanation:

Which of these graphs represents a function?

Answers

Answer:

Graph x

Step-by-step explanation:

X because of the line test

Noah bought x apples, and Elena bought 1/4 more
apples. Write an expression for the number of apples
Elena bought.

Answers

Answer:

y = 0.75x

Step-by-step explanation:

Im not sure lmk

How much times longer is Jupiter’s orbit than earth’s orbit?

Answers

Answer:

Jupiter's orbit is 5 times longer than earths

Step-by-step explanation:

Add, subtract, multiply, or divide. Can someone help me please.​

Answers

Number 7 is subtract

7:  8+(-4)=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷(-6)=-2

11:   -9×(-3)=27

12:  4-(-3)=7

13:  -45÷9=-5

14:   6×(-3)=-18

What is the value of the expression - 13 x (-1.6)?​

Answers

Answer:

20.8

Step-by-step explanation:

Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%

Answers

8% is the correct answer!

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz

Answers

Answer:

thr answer is 6(2n-3) this is rhe answer

PLEASE ANSWER NUMBER 2 3 AND 4 THANK YOU

Answers

i can’t really see it. take another pic please

Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)

Answers

Answer:

(4, -6)

Step-by-step explanation:

The formula of a midpoint of the segment AB:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have A(7, -2) and B(1, -10). Substitute:

[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]

Midpoint = average of x and y
(7+1)/2 x value = 4
(-2+ -10)/2 y value = -6
Midpoint (4, -6)

Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:

a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)

b) What are the zeros of the polynomial? Show any work necessary in solving.

Answers

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps

Find the value of y.

Answers

Answer:

y = -1

Step-by-step explanation:

It´s an equilateral triangle

then:

2y + 6 = 4

2y = 4 - 6

2y = -2

y = -2/2

y = -1

Check:

2*-1  + 6 = 4

-2 + 6 = 4

its the picture bbhjbhvuvhvguvuggyctct love you

Answers

Answer:

o

Step-by-step explanation:

Answer:

59.3sq ft

Step-by-step explanation:

guys i need help. who is right in this problem???

Answers

Answer:

brianna is correct

Step-by-step explanation:

Answer:

Brianna is correct for Card number 2.

Step-by-step explanation:

What is the solution to the system of equations graphed below?


On a coordinate plane, 2 lines intersect at (2, - 3).


(2, - 3)


(- 3, 2)


(- 2, 3)


(3, 2)

Answers

Answer:

(2,-3)

Step-by-step explanation:

When they intersect it called a solution

Hope its right

Complete the work to solve for y:

What is the value for y?

Answers

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

Answers

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion

When q = 2, then

p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

Learn more :  brainly.com/question/16069814

Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:

A)

The incenter is equidistant from all three vertices of the triangle.

B)

The incenter is equidistant from all three sides of the triangle.

C)

The incenter is closest to the shortest side of the triangle.

D)

The incenter is closest to the longest side of the triangle.

Answers

9514 1404 393

Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

What is the sum of 6 and y

Answers

Answer:

6+y

Step-by-step explanation:

6+y is the ans as the question has asked to sum of them but it has not given any other clues

Answer:

i got 6y

Step-by-step explanation:

Find the value of x. *


Please help me.

Answers

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

(this is english but more people are on math i think) what are two ways to introduce textual evidence??

Answers

[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]

penny reads 10 pages in 1/2
hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers

Answer:

she would read 20 pages in 1 whole hour

X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x = k (³y) where k is the constant. First, you have to find the value of k :

[tex]x = k \: (\sqrt[3]{y} )[/tex]

[tex]let \: x = 6,y = 8[/tex]

[tex]6 = k \: (\sqrt[3]{8} )[/tex]

[tex]6 = k(2)[/tex]

[tex]k = 3[/tex]

Next, you have to find the value of x, by substituting y = 64 into the expression :

[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]

[tex]x = 3( \sqrt[3]{64} )[/tex]

[tex]x = 3(4)[/tex]

[tex]x = 12[/tex]

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?

WILL RECIEVE ANYTHING YOU WOULD LIKE

Answers

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

Answer: I am pretty sure it’s 87.08

Step-by-step explanation:

2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.

Answers

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable

Step 2: Write an equation.

Step 3: Solve your equation.

Step 4: Check your solution.

Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee

Answers

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

Can somebody help with Grade7math ? It’s like about dividing integers...

Answers

Answer:

I would but I suck at math.

Step-by-step explanation:

I'll help you out with the giver later. lol

What is the slope and y-intercept of y=2x+3 and why?

Answers

The slope is 2 and the y intercept is 3 m = 3 and b = 2x

i need help with this​

Answers

Answer:

ok what here are u meant to do

rise over run 2/6 is the answer
Other Questions
Choose the correctly punctuated sentence. On the display screen, was a soothing pattern of light and shadow. After the morning rains cease, the swimmers emerge from their cottages. Some first-year architecture students, expect to design intricate structures immediately. Shade-loving plants such as, begonias, impatiens, and coleus can add color to a shady garden. what were the jobs of slave mulattos Solve the system using the elimination method. - Which one should I do first3x-4y+z=-56x-4y+z=1x+y+z=6 a warning sign of quackery includesa. offering instant resultsb. advertisements that make you laughc. not containing a secret formulad. all of the aboveHELP A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer. Identify the coefficient in 0.50(m)-0.20(g)+9.00 so like i need help pls!!!!!!!!! Raymond bought a book that cost C = 1.065x after sales tax. How could he rewrite the cost equation to emphasize the base price of the book and the amount he paid in tax? C= x + 0.065 A B. C= x + 0.065x C=1+ 0.065 D C=1+ 0.0652 Which composer was considered the master of polyphonic music?Select oneO a DufayO b. JosquinO c. ByrdO d. Gabrieli Carrie and Alex are playing hiding and seek which is greater? 2/3 or 3/4? CHEM ASSIGNMENT!!PLEASE HELP How did the National Woman Suffrage Association (NWSA) differ from the American Woman Suffrage Association (AWSA)? Rotate ABC with vertices A(-1, 4), B(2, 1), and C(3, -3) about the origin by 90. What are the coordinates of A'? Make your own claim. Should Columbus Day be replaced with indigenous peoples day? Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet? The temperature of the interior of the human body is about 37oC (98.6oF), regardless of the air temperature. Explain the importance of constant body temperature given the role of enzymes as catalysts in the body. Find the line of reflection if the image of (-5,-2) is each of the following? Look up the definition of lopsided in a dictionary. Then rewrite the sentence in which lopsided appears in the selection, replacing this term with a synonym. -2/5x + 3= 2/3x + 1/3