Which of the following is a solution to the system? Show your work.

3x+2y=-3

3x-y=6

Group of answer choices

(-1, 0)

(1, -3)

(2, 0)

LaTeX: (0,-\frac{3}{2})

Answers

Answer 1

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

3x + 2y = -3 ⇒ (1)

3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

-3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

(1, -3) is a solution to the system


Related Questions

what is the answer to 2.6=-0.2t

Answers

Answer:

-13

Step-by-step explanation:

Answer:

t = -13

Step-by-step explanation:

2.6 = -0.2t         Equation

2.6 / -0.2 . = -0.2t/-0.2          Divide -0.2 on both sides

t = - 13       Simplify

if hector ran 35.5 kilometers last week and 22.5 kilometers this week how many meters did he run over the last two weeks

Answers

Answer:

58000m

Step-by-step explanation:

he ran 35.5km+22.5km=58km

58km(1000m/km)=58000m

58000 should be the answer

**FIRST CORRECT ANSWER GETS BRAINLEST**
y varies directly as x, and y = 0.5 when x = 0.4.
A.) y = 4/5 x
B.) y = 0.1 x
C.) y = 5/4 x
D.) y = 0.9 x

Answers

Answer:

C.) y = 5/4 x

Step-by-step explanation:

5/4 multiplied by 0.4 is 0.5

HELP PLEASE!

a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft

a. 44 ft/s
b. 95 ft/s
c. 5720 ft/s
d. 0.0181 ft/s

Answers

I'm pretty sure its c

because 5280x65=343200

and 343200/60 is 5720

Answer: It’s 95 ft/s

Step-by-step explanation:

quiz

Solve for x. assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

x=10

Step-by-step explanation:

5x+17 = 67

The angles are vertical angles which means they are equal.  This means the arc lengths are equal

5x+17-17 = 67-17

5x = 50

5x/5 = 50/5

x =10

HELP MEEE PLEASEEEEE!!!!! I NEED HELPPP!!

Which the ordered pair that is a solution of the system for linear equations?​

Answers

Answer:

(2,2)

Step-by-step explanation:

Lets check:

(2,2)

2(2)-2=2 Correct !

2=-2+4 correct !

Hope this helps plz hit the crown :D

Answer:

i believe the answers (2,2)

Step-by-step explanation:

if you add it in for y and x  you will see it right

Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?

Answers

Answer:

there are 120 apples in each basket and 5 are left over

Step-by-step explanation:

4x-y= -2
2х + Зу = 13

Answers

Answer:

x = 1/2

y = 4

Step-by-step explanation:

4x - y = -2     --------------------(I)

2x + 3y = 13 --------------------(II)

Multiply equation (I) by 3 and then add

(I)*3         12x - 3y = -6

(II)             2x  + 3y = 13           {Now add and so y will be eliminated}

               14x         = 7

                          x = 7/14

x = 1/2

Plugin x = 1/2  in equation (I)

[tex]4*\frac{1}{2}-y = -2[/tex]

  2 - y = -2

     -y  = -2 - 2

     -y = -4      

   y = 4

Answer:

x=1/2

y=4

Step-by-step explanation:

4x-y=-2

-y=-4x-2

y=4x+2

2x+3y=13

2x+3(4x+2)=13

2x+12x+6=13

14x=7

x=1/2

y=4x+2

y=4(1/2)+2

y=2+2

Y=4

Put the following numbers in order from least to greatest.
0.52
0.6
14/25
57%

Answers

Answer:

57% 0.52 14/25 0.6

Step-by-step explanation:

all you have to do is change all of the numbers into decimals

hope this helps :)

First, convert each to the same (#/#, 0.#, or #%). I'll use decimals (usually the easiest). 0.52 and 0.6 remain the same. 14/25 may seem hard at first, but you can change it to 56/100 (14*4/25*4=56/100), then you can use that to convert to 56%. Multiply by 0.01, or divide by 100, remove the %, and you will get 0.56. For 57%, you just need to do repeat the last step again, which will give you 0.57. From least to greatest, the list would be 0.52, 0.56, 0.57, and 0.6, or 0.52, 14/25, 57%, and 0.6.

Mai earns $7 an hour mowing lawns. Her friend Priya earns $8.50 an hour. If Mai started with $15, how many hours will it take both friends to make the same amount of money?

Answers

Mai: y = 7x + 15
Priya: y = 8.5x
7x + 15 = 8.5x
15 = 1.5x, x = 10
It takes 10 hours

7x+15=8.5x

x=10

Standard form:

−3

2

x + 15 = 0

Factorization:

−3

2

(x − 10) = 0

Solutions:

x = 30

3

= 10

What are the names of three collinear points?

Answers

Points L, J, and K are collinear

Find the product (у- 2)(5у2 + 3y - 1)

Answers

Answer:

5y^3 - 7y^2 - 97y + 2   <<<< Answer

Step-by-step explanation:

(у- 2)(5у2 + 3y - 1)

Multiply the three terms by y

5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y

Multiply the three terms by - 2

-2*5y^2 -2*3y - 2*-1

-10y^2 - 6y + 2

Now combine the like terms

5y^3 + 3y^2 - 10y^2 - y - 6y + 2

5y^3 - 7y^2 - 97y + 2

The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?

Answers

It doesn’t say anything post another question

please show work
23 lbs of onions cist $250.70. How much will 50 lbs cost

Answers

Answer:

$545.00

Step-by-step explanation:

250.7 / 23 = 10.9

$10.9 is the cost of every lb of onions.

Then we multiply 10.9 by 50 because there are 50 lbs. like this

10.9 * 50 = 545

So $545.00 is our answer.

it is $545.00 hope this helps

What’s the equation?

Answers

The answer is option 2 because if you were to plug in both values for m, you would exactly get the corresponding value for c.

In November mr.Lee’s students read 50 books. In December they read 40 books what is the percent increase or decrease in the number of books they read?

Answers

Answer:

percentage decrease,20%

Step-by-step explanation:

50_40 books=,10 bus

10|50 ×100%=20%

Answer:

decrease 20% trust me i got it right

Step-by-step explanation:

Shayla is going to paint a wall. The wall is 23 feet long by 8 feet high. A gallon of paint costs $11 and covers 320 square feet of area.

If the wall requires two coats of paint, what is the minimum cost of painting Shayla's wall?

Answers

Answer:

$12.65

Step-by-step explanation:

Given that the wall is 23 feet long and 8 feet high.

As the wall is rectangular, so the area of the wall,

A=23x8=184 square feet.

As a gallon of paint costs $11 and covers 320 square feet of area, so

Cost of paint for 1 square foot area = $ 11/320 per square foot.

Cost for 1 coat of paint = $ (11/320)x184

Cost for 2 coat of paint = $ (11/320)x184x2= $ 12.65

Hence, cost requires for 2 coats of paint is $ 12.65.

Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?

Answers

Answer:

[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Step-by-step explanation:

b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]

Area of one triangle

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]

There are 4 colored triangles so total area of the triangles is

[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]

The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Olivia got a 72% on her quiz, there are 25 questions how many did she get right and how many did she get right

Answers

Answer:

18

Step-by-step explanation:

72% of 25 is 18.

Hope this helped! :)

What is the solution to the system graphed below?

Answers

Answer:

I'm pretty sure it is (2,0)

please answer this. thank you

Answers

I wanna ruin our friendship we should be lovers instead

Can someone do this please

Answers

ok so umm you need to do 5x4= 20 and divide 20 and 4 you get 5 and multiply 5x4 you get 20 and the answer is 20

Quick I need the answer

Answers

Answer:

x = 25!

Hope This Helps!

what is 574 ÷ 82 my math say use compatible numbers to round first then awnser the actual queston

Answers

Answer: 7               explanation:574[tex]%[/tex]%82=7  7x82=574

Answer:

compatible answer= 7.5

Real answer: 7

Step-by-step explanation:

Aida applied the distributive property to write the equivalent expressions below.

15 + 21 = 3 (4 + 8)

What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

Aida's error was B

Step-by-step explanation:

PLEASE HELP ME HURRY

Answers

2/5 of the class is male

40% of the class is male

3/5 of the class is female

60% of the class is female

Not sure if this is right, but this is what I got.

Diana is going camping with her family. Their campsite is 7/8 miles away. They walk at a steady speed of 2 1/2 mi/h. How many minutes will it take them to get to the campsite

Answers

Answer:

21 minutes

Step-by-step explanation:

Using the formula to calculate the time expressed as;

Speed = Distance/Time

Given:

Distance = 7/8 miles

Speed = 2 1/2 mi/hr

Required

Time in minutes

Substitute the given values into the formula;

Recall that:

S = D/T

T = D/S

Time = 7/8 ÷ 2 1/2

Time = 7/8 ÷ 5/2

Time = 7/8 * 2/5

Time = 7/4 * 1/5

Time = 7/20 hour

Since 1 hour = 60 minutes

7/20 hour = (7/20 * 60)minutes

7/20 hour = 7 * 3

7/20 hour = 21 minutes

Therefore it will take them 21 minutes to get to the campsite

Miguel wants to have at least $500 in his account to spend over the summer. He already has $150. If he deposits $25 each week, write and solve an inequality to determine how many weeks it will take him to reach at least $500.

Answers

Answer:

listen to the other guy

or girl

Step-by-step explanation:

It will take at least 14 weeks to have at least $500.

What is inequality?

The relation between two unequal expressions is defined as inequality.

Given that, the person has $150 in his account and he deposits $25 each week into this account.

The amount in the account after w weeks is:
150 + 25w

Let the amount in the account after w weeks is at least $500, then  it follows:

150 + 25w ≥ 500

25w ≥ 500 - 150

25w ≥ 350

w ≥ 14

Hence, it will take at least 14 weeks to have at least $500.

To learn more about inequalities, click here:

https://brainly.com/question/28823603

#SPJ2

Sara says, "If you subtract 14 from my number and multiply the difference by - 3, the result is – 42."
What is Sara's number?
Sara's number is |

Answers

Answer:

Sara's number is 28

Step-by-step explanation:

Let's assign Sara's number the variable x and solve this equation using the information provided.

"If you subtract 14 from my number"

x - 14

"and multiply the difference by - 3"

-3(x - 14)

"the result is – 42."

-3(x - 14) = -42

Now we can solve from here for x.

-3(x - 14) = -42

x - 14 = 14

x = 28

there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?

Answers

Answer:

There's no options

Step-by-step explanation:

Answer:

Options please

Step-by-step explanation:

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