2x + 3y = 16
3x + 4y = 22

System of Equations

Answers

Answer 1

Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

2x+3y=16

3x+4y=22

---------------

3(2x+3y)=3(16)

-2(3x+4y)=-2(22)

--------------------------

6x+9y=48

-6x-8y=-44

------------------

y=4

2x+3(4)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2


Related Questions

The clock shows the time ( 9:00 ) that Candace leaves for a bicycle ride. She rides for 1/2 hour.

Through how many degrees does the minute hand turn while Candace is on her ride?

Answers

Answer:

180°

Step-by-step explanation:

1/2 hour = 30 minutes

1 hour is 360° degrees.

1/2 hour = 360 ÷ 2 = 180°

Answer:

180

Step-by-step explanation:

because half a circle is 180 degrees and since 1/2 hour means she returns at 9:30 the minute hand would have to move half of a circle around the clock

what is the middle of 1 and 6

Answers

Answer:

The middle between two numbers is the average of those numbers. So we add those two numbers together and divide by two. And the answer is (1 + 6) / 2 = 3.5

Four friends are all working in summer jobs. Their names are LaTisha, Zack, Steve and Michelle. The jobs they have found this summer include food server, lifeguard, construction worker and clerk at a grocery store. Determine who is working which job by using the clues below. 1.The person doing the food-serving job really like his work. 2.Zack and the lifeguard have known each other for years. 3.Both Michelle and the lifeguard are outside most of the time, and the other two are inside most of the time. 4.LatTisha and the person working construction met on their job last summer. 5.Neither Zack nor the food server worked last summer.

Answers

Answer:

LatTisha works as a Lifeguard

Zack works as a clerk at a grocery store

Steve works as a food server

Mitchel is a construction worker

Step-by-step explanation:

The parameters of the question are;

The names of the four friends are; LaTisha, Zack, Steve, and Michelle

The jobs found are; Food server, Lifeguard, Construction worker, and Clerk at a grocery store

1. The food server person likes his work

2. Zack and the lifeguard have known each other for years

3. Mitchel and the lifeguard are outside most of the time

4. LaTisha and the person working construction met on their job last summer

5. Neither Zack nor the food server worker worked last summer

We have;

Using known names,

Famale names are; LaTisha and Michelle

Male names are; Steve and Zack

Therefore

The food server worker is a guy, not Zack but  likely Steve

Mitchel works outdoors, therefore, she works in the other outdoor employment which is construction

The remaining two occupations are;

Lifeguard and Clerk at a grocery store

Given that Zack is not the lifeguard, we have;

Zack is the clerk at a grocery store

LatTisha is the Lifeguard

An art supply store typically sells 7 bottles of green paint for every 6 bottles of blue paint. How many bottles of blue paint does it sell when it sells 35 bottles of ​green paint?

Answers

30 bottles of blue paint?

Which number line shows point M at 4/3?

Answers

Answer:

D

Step-by-step explanation:

going to the number "4" 3 dots down is 4,3

Find the area of the isosceles triangle

Answers

Answer:

could you add the picture? then i will edit my answer to give you the actual answer

Step-by-step explanation:

need help in math will give brain if right

Answers

Answer:

the answer is c

Step-by-step explanation:

A class spent hour on art and 1 /3 hours on art and 1 1/3 hours on mathematics. How much time did the class spend on art and mathematics?
A. 2 /3 hour
B. 1 hour
C. 1 1/2 hours
D. 2 1/3 hours
E. 1 2/3 hours​

Answers

The students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.

What is addition?

Addition in math is a process of combining two or more numbers.

Given that, A class spent hour on art and 1 /3 hours on art and [tex]1\frac{1}{3}[/tex] hour  on mathematics.

To find the total time, will add both the time,

[tex]=\frac{1}{3} + 1\frac{1}{3}\\ = \frac{1}{3} + \frac{4}{3} \\= \frac{5}{3} \\= 1\frac{2}{3}[/tex]

Hence, the students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.

Learn more about addition, click;

https://brainly.com/question/29560851

#SPJ1

A tabletop in the shape of a trapezoid has an area of 5029 square cenimeters. Its longer base measures 123 cenimeters, and the shorter base is 65 cenimeters. What is the height?​

Answers

Answer:

Length of height = 53.5 cm

Step-by-step explanation:

Given:

Area of trapezoid = 5,029 cm²

Length of longer base = 123 cm

Length of shorter base = 65 cm

Find:

Length of height

Computation:

Area of trapezoid = [(a+b)/2]h

5,029 = [(123 + 65)/2]h

5,029 = [(188)/2]h

5,029 = [94]h

Length of height = 53.5 cm

If it costs $100,000 to put on an event for four weeks (28 consecutive nights), how much revenue per night is needed to
make $200,000 profit during this period?

Answers

100000+200000=300000
28x=300000
X=10714
They would need to make $10714 a night

Twenty students out of 80 kids had pizza for lunch. What is the percentage of students that had pizza for lunch?



Please help!!!

Answers

Answer:

25%

Step-by-step explanation:

20/80 = 2/8 = 1/4

1/4 = 0.25

0.25 x 100 = 25

so 25%

Answer:

0.25

Step-by-step explanation:

Divide 20 by 80

Você precisa colocar suas renas, Raposa, Trovão, Cometa e Relâmpago, em uma fila única para puxar o seu trenó. No entanto, Cometa e Raposa são melhores amigos e precisam ficar juntos. De quantas maneiras você pode organizar as renas?

Answers

Answer:

If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.

Out of these, Bloopin and Rudy are together in 4!=24 times.  Similarly Rudy and Bloopin will be together 4!=24 times.  So the number of ways they are not together is 120-24-24=72 ways.

Hope this helps.    :)

Step-by-step explanation:

Spanish:

Si los renos no luchan, hay 5! = 120 formas de alinearlos en línea recta.

De estos, Bloopin y Rudy están juntos en 4! = 24 veces. De manera similar, Rudy y Bloopin estarán juntos 4! = 24 veces. Entonces, el número de formas en que no están juntas es 120-24-24 = 72 formas.

Espero que esto ayude       :)

In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=8°, and HI = 30 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

Answer: 4.2

Step-by-step explanation:

Sin(H)=x/30 then cross multiply

30sin(8)=x

X=4.1752... but rounded it’s 4.2

Answer:

It's 4.2

Step-by-step explanation:

A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways

Answers

Answer:

5/2

5 : 2

5 to 2

Write (5.64) x 10-7 as a decimal.

Answers

Answer:

16.92

Step-by-step explanation:

5.64 x 3 = 16.92

Hope that helps!

Please hurry! I really need this

Answers

Answer: x - 2.60(2) + x + x - 2.60

Step-by-step explanation:

Aleekah’s amount is x, as identified by the problem. If Barika earn less than 2.60 than Aleekah, then you would take away 2.60 from x, thus x - 2.60. If (x - 2.60) is how much Barika earned and James earn twice that amount, then he would have ((x - 2.60)*2)

0.0000056 rewritten as a single digit
times a power of ten becomes:

Answers

Answer:

5.6× 10^ -6

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

what is the value of h?

Answers

Answer:

5

Step-by-step explanation:

table for f(x) = 3x+ 10

Answers

Answer:

-2 4

-1 7

0 10

1 13

2 16

Step-by-step explanation:

Use a graphing calculator.

Answer:

Step-by-step explanation:

3 - 10 = 7

10 - 7 = 3

= 0 . 3

60 points for three questions. please help meeee

Answers

Answer:

The first one is D

Step-by-step explanation:

Answer:

First one is D neither .

second one is 3 .

third one is :

x intercept : -13/6

y intercept = 13

7. A minor arc of a circle subtends an angle of 1059 at the centre of the circle. If the radius of the circle is 8.4 cm,
find the length of the major arc.
[tex]\pi = 22 \\ 7[/tex]

Answers

25 56 times 46 that is the answer becasue it is

Can someone help me with these 2 problems please

Answers

Don’t go to that link it’s bad they trying to scam you

3.
Write a function rule for the table.


A. p = 7.50h

B. p = h + 15

C. p = 15h

D. h = 7.50p

Answers

Answer:

p = 7.50h

I got this correct, the answer is A. p= 7.50h

Step-by-step explanation:

The answer would be d because every two hours someone works they get $15 and for the equation we must know how much they work for one hour so that it works with the equation (we'd have to simplify it down do how much paid up per hour). so half of 15 is 7.5 so the equation would be p=7.50h (standing for $7.50 per hour).

The correct answer is:  [D]:   " p = 7.50 h " .

________________________________________________

The pay, "p" , is a function of the hours worked.

When h = 2,  (h = number of hours);  

        the pay, "p" ,  is equal to " 7.50 * 2 "  = 15.00 dollars" ; as shown on table.

When h  = 4  ;  p = " 7.50 * 4 = 30.00 dollars" ; as shown on table .

When h = 6 ; p = " 7.50 * 6 = 45.00 dollars" ; as shown on table.

When h = 8 ; p = " 7.50 * 8 = 60.00 dollars" ; as shown on table.  

_____________________________________________________

PLS HELP!!! 7TH GRADE MATH

Answers

Answer:

The first picture is 72 ft²

Step-by-step explanation:

Answer for 1:

242

Answer for 2:

214.57

Answer for 3:

88.79

Explanation:

I used Goggle

1/3 x - 6 = 3 what is the answer for x

Answers

Answer:

x = 3

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Bicycle rental on the sea well at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hour

Answers

Answer:

12.8x + 20

Step-by-step explanation:

I have the same question and i figured it out so here you go!!!

Las calificaciones obtenidas por un grupo de 49 alumnos en una prueba con las siguientes: 3.0; 5.5; 4.4; 6.0; 4.3; 7.2; 4.7; 6.5; 6.7; 4.0; 5.9; 5.8; 1.4; 3.2; 5.8; 4.6; 4.1; 3.5; 6.8; 5.0; 5.9; 2.1; 4.2; 4.5; 4.1; 4.8; 2.8; 4.7; 7.7; 6.0; 3.0; 5.7; 4.5; 4.9; 3.3; 4.8; 4.7; 7.7; 6.0; 3.0; 5.7; 4.5; 4.9; 3.3; 4.8; 4.7; 5.2; 3.8; 6.1. Agrupa en siete intervalos estos datos y construye la tabla de frecuencias correspondientes, hallando los valores de la media, la mediana y la moda de los mencionados datos

Answers

Answer:

nosejgivuguvug7gug7g7g

Step-by-step explanation:

pol

Xinyi bought a box of 20 cupcakes.12 of the cupcakes are chocolate cupcakes.What is the percentage of chocolate cupcakes

Answers

The answer is 60%, 60 percent are chocolate flavored cupcake

plzzzz help meee.......​

Answers

Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Step-by-step explanation:

Given

[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]

The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]

vector opposite to the vector  [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]

[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Mrs. Doan spends $36 at a carnival. This is 75% of the money she brings to the carnival. How much money does Mrs. Doan bring to the carnival?

Answers

Answer:

$48

Step-by-step explanation:

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