What is the solution to this system of equations y=x-2 y=-0.5x+4

Answers

Answer 1

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​​  

​x=4

​y=2

​​  

Step-by-step explanation:


Related Questions

I NEED HELP ASAP IT IS DUE TODAY!!,

Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.

After they each take the lengths they need, how much twine will be left?

Answers

Answer:

.51 meters of twine

Step-by-step explanation:

add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?

Just take the $ out

Answers

You're given

x + y + z = 165

7x = n

n = y - 9

n = 9 + z

and you want to find xyz.

Solve the last three equations for x, y, and z :

7x = n   →   x = n/7

n = y - 9   →   y = n + 9

n = 9 + z   →   z = n - 9

Substitute x, y, and z into the first equation and solve for n :

n/7 + (n + 9) + (n - 9) = 165

n/7 + 2n = 165

n + 14n = 1155

15n = 1155

n = 77

Now solve for x, y, and z :

x = 77/7 = 11

y = 77 + 9 = 86

z = 77 - 9 = 68

Then the product is

xyz = 11 • 86 • 68 = 64,328

The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165

The problem states:

1. When the smallest number x is multiplied by 7, the result is n: 7x = n

2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9

3. The value n is also obtained by adding 9 to the third number z: n = z + 9

Now, let's proceed to find the values of x, y, z, and n:

From equation (2), we can express x in terms of n:

x = n/7

Now, substitute the value of x in equation (1):

(n/7) + y + z = 165

From equation (3), we can express y in terms of n:

y = n + 9

Now, substitute the value of y in the equation above:

(n/7) + (n + 9) + z = 165

From equation (4), we can express z in terms of n:

z = n - 9

Now, substitute the value of z in the equation above:

(n/7) + (n + 9) + (n - 9) = 165

Combine the terms with n:

3n/7 = 165

To isolate n, multiply both sides by 7/3:

n = 165 * (7/3)

n = 385

Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:

x = n/7 = 385/7

≈ 55

y = n + 9 = 385 + 9

= 394

z = n - 9 = 385 - 9

= 376

Now, we have the values of x, y, z, and n:

x = 55,

y = 394,

z = 376,

n = 385

To find the product of the three numbers, simply multiply them:

Product = x * y * z

= 55 * 394 * 376

≈ 8,192,040

So, the product of the three numbers is 8,192,040.

To know more about three numbers:

https://brainly.com/question/30269736

#SPJ2

Lonnie bought 6 pieces of ribbon. Each
ribbon was 2 3/4
yards long. How much
ribbon did Lonnie buy in all?
OA) 12 1/2
)
OB) 14 1/2
yd
OC) 151/2
yd.
OD) 16 1/2
yd.

Answers

Answer:

D

Step-by-step explanation\Turn 6 into a fraction 6/1, and 2 2/3 into an improper fraction, 11/4 by multiplying two times the denominator and add the top number and keep the denominator from the begining. That will give you the 11/4. Then multiply across and you should be 16 1/2.


Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE

Answers

Answer:

20

Step-by-step explanation:

good luck

what number line shows the solution of -5x + 10 > -15

Answers

Answer: x<5

Step-by-step explanation: Subtract 10 from both sides. Simplify  -15-10 to  -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.

Can someone please help with writing this out as equation?

The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.

Answers

1+1=2 ;&;&:’snaj8:&;$/&/8182929857748382

GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.








Which of the following points represents the largest number?


P

M

J

H

Answers

The answer is p , merry Christmas

a size 8 kids shoe measures 9 2/3

Answers

What am I suppose to answer?

Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =

Answers

Answer:

-0.24

Step-by-step explanation:

Math is math i just know it in my head i do nt know how tpo explain it

I NEED HELP STAT

=12×0.75

Answers

Answer:

9

Step-by-step explanation:

use a calculator of just think about it

Answer:

9.00

Step-by-step explanation:

Write an expression that is equivalent to 27e + 24.​

Answers

Answer:

3 (9e + 8)

explanation:

3 x 9e = 27e

and

3 x 8 = 24

Both are multiplyed by 3 so your first number is

3 ( ?e + ?)

then the 2ed has e beside so i know thats 9

3 ( 9e + ?)

The final one is 8. 3 x 8 = 24 so there is 24 in the question so the last is 8

3 (9e + 8)  

3(9e+8) is the  expression that is equivalent to 27e + 24.​

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find the equivalent fraction of 27e + 24.​

For this let us find the factors of 27 and 24

Factors of 27 are 1,3,9,27

Factors of 24 are 1,2,3,4,6,8,12,24

The greatest common factor is 3.

So in the expression 27e+24 take 3 as common

3(9e+8)

Hence 3(9e+8) is the  expression that is equivalent to 27e + 24.​

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160

Answers

Answer:

[tex]y = 30x +50[/tex] --- Sam

[tex]y = 20x +80[/tex] --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,80)[/tex]

[tex](x_2,y_2) = (4,170)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{170 - 80}{4 - 1}[/tex]

[tex]m = \frac{90}{3}[/tex]

[tex]m = 30[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 80 = 30(x - 1)[/tex]

[tex]y - 80 = 30x - 30[/tex]

Make y the subject

[tex]y = 30x - 30 + 80[/tex]

[tex]y = 30x +50[/tex]

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,100)[/tex]

[tex](x_2,y_2) = (4,160)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{160 - 100}{4 - 1}[/tex]

[tex]m = \frac{60}{3}[/tex]

[tex]m = 20[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 100 = 20(x - 1)[/tex]

[tex]y - 100 = 20x - 20[/tex]

Make y the subject

[tex]y = 20x - 20+100[/tex]

[tex]y = 20x +80[/tex]

Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?

Answers

Answer:  20/3 * $10.50 = &73.5

.

HOPE THIS HELPS TOUCH THANKS PLEASE

Step-by-step explanation:

Answer:

73.5$

Step-by-step explanation:

21/7=3 so 10.50*7 will give the budget

Which of the following is NOT equivalent to the other three?

Answers

do you have a picture to show so i can answer?

What is the recursive formula for this sequence? 12, 16, 20, 24, 28, ...​

Answers

Answer:

A

Step-by-step explanation:

first term is 12, and following terms are obtained adding 4 to previous term.

Use the translation rule (x, y) (x - 2y 7) to find the image of F(-2, 6)

Answers

Answer:

Use photomath and look at each step! Sorry I would help but I’m bad at math.

Step-by-step explanation:

What is 4 2/3 divided by 7

Answers

Answer:

0.66666666666

Make into improper fraction
4 2/3 = 14/3
7 = 7/1
Divide fraction = multiply by reciprocal
14/3 * 1/7 = 14/21 = 4/7
The answer is 4/7

In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV

Answers

It would be quadrant III

Answer:

Quadrant 3

Step-by-step explanation:

Quadrant 3: (-, -)

Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)

Answers

Answer:

the first one on the list because it said refect

Perform the operation. (-9x^2-2x)-(-9x^2-3x)

Answers

Answer:

(-9x^2-2x)-(-9x^2-3x)

Step-by-step explanation:

-9x^2 + 9x^2 - 2x + 3x

= 0x^2 + 1x

= 1x

Mark me as brainliest

Hope this helps!!!

xander takes a quiz worth 50 points. each question is worth 10 points. sketch a graph to show his score if he missed 1,2,3,4 or 5 questions

Answers

If the quiz is worth 50 points and each question is worth 10 that means for every question he could’ve missed would be taking away 10 from that 50. So lets say if he misses 2 questions. 2 x 10 would be 20. You take away 20 from 50 which would be: 50 - 20 = 30. And it goes on from there.


Hope that helps!

Find the area. Round to the nearest hundredth if necessary

Answers

add 16.7m 4 times that should be the correct answer if not sorry

QUADRATIC FORMULA SIMPLIFIED PLZ HELP

Answers

Answer:

3x² + 5x + 1 = 0 simplifiedx = (-5 ± [tex]\sqrt{13}[/tex])/6 roots

Step-by-step explanation:

Given quadratic formula

3x² + 5x - 5 = - 6

Standard form

ax² + bx + c = 0

Simplifying

3x² + 5x - 5 + 6 = 03x² + 5x + 1 = 0

Solving

x = (-5 ± [tex]\sqrt{5^2 -4*3*1}[/tex])/(2*3)x = (-5 ± [tex]\sqrt{13}[/tex])/6

Area model for division 427÷7

Answers

61 hope it helps you

Please help me with 4-6 ASAP I will give 30 points

Answers

Answer:

i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers

Step-by-step explanation:

Need help with hw due in less than a hr!

Answers

Sure I can help with it

Angela is planting flowers in her flowerbed. She wants the ratio of tulips to roses to be 5 to 2. If a total of 63 flowers are planted, how many tulips should there be?

Answers

Answer:

45 Tulips

Step-by-step explanation:

63/7=9

Tulips: Roses=5:2

Tulips=9x5=45

Roses=9x2=18


The table shows values of n and f(n) for the equation f(n) =
n(n+3)
2.
f(n)
1
2
2
5
3
9
4
?
What is the value of f(n) when n =
= 42
A 12
B. 13
C. 14
D. 28
E

Answers

I looked at the the picture and the answer is A. 12

I guess the 2 was supposed to be a question mark judging by the picture...

a number, a variable, or a product of a number and one or more variables

Answers

Answer:

Polynomials

Step-by-step explanation:

A test of a new car results in 300 miles on 10 gallons of gas. How far could you drive on 45 gallons of gas?

Question 5 options:

1350 miles


67 miles


670 miles


135,000 miles

Answers

Answer:

1350

Step-by-step explanation:

300x4=1200

300×.5=150

1200+150=1350

Other Questions
Answer the following questions with DIRECT OBJECT PRONOUNS. 1. Quieres estos libros para tu proyecto? 2. Ana necesita terminar el examen? 3. Puedes ayudarme con esta tarea? 4. Vas a llevar a Alberto al aeropuerto? 5. Tocas el piano cada da? The Sun is a fairly normal star.TrueFalse Which fraction names the shaded part of the set? Making change Ideas of how we could use food to help serve health needs? There are ____ known poisons present in cigarettes. 100 200 300 None of the above determine the type of triangle Jasmines bike sold for$540. The store owner gave a discount of 30%. What was the new price? You may use decimals or use fractions to find your answer. Can anyone help?? PLEASE HELP, I WILL MAKE YOU THE BRAINLIEST!!!3. Magnesium sulfate is added to sodium hydroxide to produce sodium sulfate and magnesium hydroxide (10 points)a. Write the skeletal equation and Balance the chemical equation describing the reaction above. b. What kind of reaction is this? c. Rewrite the balanced chemical equation, adding state symbols for all compounds in the reaction. What sentence from the passage best shows how a change of setting leads to the main conflict What were the goals of the kkk?what sorts of tactics did they use to achieve those goals? Write an ACROSTIC poem using the word CHRISTMAS Ex. SUN Super Understanding New A number line is shown. Jack knows that a + b = 0. Select all statements that are true: ? Explain, in detail, the importance of Upton Sinclairs book, The Jungle Choose 1 answer.Which expression is equivalent to -0.2 - 4.9?A. -4.9 + 0.2B. -0.2 + (-4.9)C. 0.2 - (-4.9)D. -0.2 + 4.9 What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) What is the measure of angle KJLHURRY PLS WILL GIVE BRAINLEST Typically, a bullet leaves a standard 45-caliber pistol (5.0-in. barrel) at a speed of 262 m/s. If it takes1 ms to traverse the barrel, determine the average acceleration experienced by the 16.2-3 bullet withimthe gun and then compute the average force exerted on it. Harold filled his swimming pool over the weekend. The pool has a capacity of 540 gallons. Harold put in 180 gallons of water on Saturday. The garden hose that Harold used supplies 9 gallons of water per minute. How long did it take for Harold to fill the pool to capacity on Sunday? Define a variable for the unknown quantity. Write and solve an equation to answer the question.Let m= the number of _________a.) gallons in the pool on Sundayb.) Minutes to fill the pool on Saturdayc.) gallons the garden hose puts in the pool on Sundayd.) minutes to fill the pool on SundayAn equation to represent the situation is __________=540.a.) m+89b.) 189mc.) 9m+180d.) 180m+9So, m= _________. It took Harold ____________ minutes to fill the pool to capacity on Sunday. Please please help and show how you got the answer! I WILL MARK YOU AS BRAINLIEST Someone Please help with this question and conclude evidence from the passage. Steam Workshop Downloader