Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2

Answers

Answer 1

9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

  2(y+2) -3y = 3 . . . . substitute for x in the first equation

  2y +4 -3y = 3 . . . . . eliminate parentheses

  -y = -1 . . . . . . . . . . . collect terms, subtract 4

  y = 1 . . . . . . . . . . . . multiply by -1

  x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).


Related Questions

Which of the following is equivalent to 3^-8 × 3^4
3^-4
3^-2
3^-12
3^-32

Answers

i believe the answer is the first option

What is the equation of the line that passes through the point (8,1) and has a slope
Answer:

Answers

Answer:

x=1y

Step-by-step explanation:

umm what's the slope though bro??
there's no way of knowing the equation without 2 coordinate pairs or one coordinate pair and slope but you have none

13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.

Answers

Answer:

ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm

Step-by-step explanation:

good day

Joe has 1/2 of a cake he would like to split among 3 people. What part of the cake would each person get?

Answers

Answer:

1/6

Step-by-step explanation:

Given data

Joe has 1/2 of a cake

he would like to split among 3 people

n= 3

Hence each person will take

=1/2/3

=1/2*1/3

= 1/6 part of the cake

I need some help please

Answers

Answer:

10x - 5

Step-by-step explanation:

Perimeter is found by adding up all the side lengths.

(2x-4) + (5x+6) + (3x-7) = 10x - 5

A bakery sold a total of 500 cupcakes in a day, and 390 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?​

Answers

Answer:

Your answer

78% are vanilla

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?

Answers

Answer:

Espero que isto ajude!

Step-by-step explanation:

q  duplica  logo a razão q =2

1 hora = 60 minutos

4 hs *  60 min = 240 minutos ou 240 : 6    = 40  vezes   6 minutos

Nota >  240 minutos tem 40 * 6 minutos

n = 40

a1 = 6 min  = 3

a2 = 12 min = 3 * 2 = 6

q3 = 18 min  =  6  *2  =12

an = a1 * q^n-1

a40  = 3 * 2^40-1

a40 = 3 * 2^39

a40  = 3 * 5497559  =16492677 >>>>>

You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4.75 kilometers long. He ask you to move the finish line forward 0.25 kilometers. Your tape measure is measured in feet and inches. What is the distance he asked you to move in line in the nearest foot?

Answers

Answer:

820 feet

Step-by-step explanation:

We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...

1 km  ==  3280.84 ft

0.25 == x

(0.25 * 3280.84) / 1 = 820.21

Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.

A gymnast scores a total of 125 points in the first 4 meets of the season. At this rate, how many points will she score by the end of 14 meets

Answers

Answer:

i dont know but will u date me

Step-by-step explanation:

are these questions correct ?

Answers

Answer:

not all of em

Step-by-step explanation:

some are

You select a marble at random and then put it back. If you do this eight times, what is the best prediction possible for the number of times you will pick a red marble?

Answers

Answer:

1/8

Step-by-step explanation:

PPPPPPPPPPPPPPPPPPPPPPPPPPPPplwlwlwlwlwlwlwlEEEEEEEEEEEEEEEEASE

Answers

We are youngggggg so set the world on fire
The slope is -7/1
m=-7

just the 11b. due in 12 hrs. Need this very soon. :) thx​

Answers

Answer:

28 litres of mango juice will be required

Step-by-step explanation:

11). b. Internal dimensions of the rectangular prism are,

         Length = 40 cm

         Width = 20 cm

         Height = 35 cm

         Volume of the rectangular prism = Length × Width × Height

                                                                 = 40 × 20 × 35

                                                                 = 28000 cm³

          Since, 1 cm³ = 1 mL

          Therefore, 28000 cm³ = 28000 mL

          Since, 1000 mL = 1 L

          28000 mL = 28 L

          Therefore, to fill this jar 28 L of orange juice will be required.

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
OX= -6 or x = 1
OX=-3 or x = -2
x= -1 or x = 6
Ox=2 or x=3

Answers

Answer:

x = -6 and x = 1

Step-by-step explanation:

Given the equation (x + 2) (x + 3) = 12

Equate to zero;

(x + 2) (x + 3) - 12 = 0

Expand

x^2+3x+2x+6-12 = 0

x^2+5x - 6  = 0

Factorize

x^2 + 6x - x - 6 = 0

x(x+6)-1(x+6) = 0

(x+6)(x-1) = 0

x+6 = 0 and x -1 = 0

x = -6 and x = 1

Hence the zeros are x = -6 and x = 1

Answer:

It's A: -6 or 1

Step-by-step explanation:

Edg 2022

You purchase five municipal bonds on the first of the year. The current market value price is [tex]101\frac{1}{4}[/tex]. The commission charge is $8 per bond. What is the cost of purchasing these bonds?


a.$5546.25
b.$5102.50
c.$5062.50
d.$546.25

Answers

Answer:

B $5102.50

Step-by-step explanation:

answer on edge :)

Answer:

its b.

Step-by-step explanation:

4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3

Answers

Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

What is the length of a base of a right triangle with an area of 15 meters and a height of 3 meters?

Question 1 options:

5 meters


12 meters


10 meters

Answers

Answer:

10

Step-by-step explanation:

15 = 1/2 * b * 3

15 * 2 = 3 * b

b = 30/3

b = 10 m

The hospital is putting in a wheelchair ramp at one of its entrances. Only 6 feet of sidewalk can be covered by the ramp, and the ramp needs to reach 0.5 feet up the wall to reach the entrance. How long does the ramp need to be?

Answers

Answer:

3

Step-by-step explanation:

NEEd HELp ASAP AlGEBRA 1

Answers

Answer:

Step-by-step explanation:

this is a yes or no question... if a box has equal and opposite forces acting on it, will the box be accelerate??

Answers

Answer:

no

............................

No because of the forces being equivalent

there are 16 appetizers available at a restaurant. From these, janet is to chose 13 for her party. How many groups of 13 appetizers are possible

Answers

Answer:

560

Step-by-step explanation:

The best way to do this is to write it out, but with large ones like this you should use the equation:

C(n,r) = n!/(r!(n-r)!),

where:

C(n,r) is the number of combinations;

n is the total number of elements in the set; and

r is the number of elements you choose from this set.

i’m so confused by this does anyone have this figured out

Answers

Answer:

you have to find the angels

Step-by-step explanation:

What is the slope and y intercept?

Answers

Answer:

slope: 1/2 Y Intercept: 25 (I'm just guessing by the coordinates (60,25)

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30

Answers

Answer:

a

Step-by-step explanation:

Please help with this, it’s Khan Academy A.K.A annoying

Answers

B makes sense.

On the first play, they gained 6 yards.

On the 2nd play, they lost 8 yards, which can be shown as + (-8)

On the 3rd play, they lost two yards, which can be shown as + (-2)

If you input it in a calculator, you'd find that the answer is a negative, which makes sense considering that they lost more yards than they gained.

Ming's school is selling tickets to a play. On the first day of ticket sales the school sold 8 adult tickets and 1 student ticket for a total of $95. The school took in $71 on the second day by selling 2 adult tickets and 7 student tickets. Define two variables for this situation. Write a system of equations to represent this situation. What is the price each of one adult ticket and one student ticket?

Answers

Answer:

Your answer.

8x + y = 95.........(1)

2x + 7y = 71........... (2)

Y = 95-8x........ (3)

Put this value in eq 2

Then x = 11

Put x value in eq 3

Y = 7

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

A rectangular paddock has perimeter 100 m. Find the width of the paddock if its length is 30 m.

Answers

Answer:

Step-by-step explanation:

W= L x 2/P

= 30 x 2/ 100

= 60 /100 = 0.6

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the simplest form of the radical expression?
(in attachment)

Answers

Basically the first part but with a minus in front of the 3

Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8 quarts of lemonade. They decide to sell one cup of lemonade for $0.75. If they sell all 8 quarts, how much revenue will they make and will they make enough to earn $12 each? (4c=1q)

Answers

Answer:

Altogether they made $24 which is enough to earn $12 each

Step-by-step explanation:

Important information:

1 cup: $0.75

4 cups = 1 quart

8 quarts of lemonade altogether

If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart

Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply

0.75 × 4 = 3

They make $3 per 1 quart

We are looking for the amount for 8 quarts though, not just 1. Again we must multiply

3 × 8 = 24

They will make $24 if they sell all 8 quarts

The questions ask if they will each earn $12

Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people

24 ÷ 2 = 12

$12

PLZ HELP ME & ANSWER CORRECTLY!!!!! NEED ANSWER ASAP!!!!!
Mica and Joy are standing at corner A of the rectangular field shown below.
Mica walks diagonally across the field, from A to corner C. Joy walks from corner A to corner B, and then to corner C. To the nearest hundredth of a mile, how much farther did Joy walk the Mica?

Answers

Answer:

0.54 miles more

Step-by-step explanation:

1. Find the Diagonal. d=w2+l2=1.252+0.752≈1.45774

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

3. 2 miles-1.46 estimate.

4. Solution...0.54

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