Solve the system of equations by substitution.

3x+y = 10
7x+ 2y= 24

A. (2,4)
B. (2,-6)
C. (4,-2)
D. (2,-4)

If you can, explain step by step please :)

Answers

Answer 1

Answer:

C

Step-by-step explanation:

3x+y=10---(1)

7x+2y=24---(2)

From(1)

3x+y=10

y=10-3x---(3)

Substitute(3)into(2)

7x+2y=24

7x+2(10-3x)=24

7x+20-6x=24

x+20=24

x=24-20

x=4

Substitute x=4 into (1)

3x+y=10

3(4)+y=10

12+y=10

y=10-12

y=-2


Related Questions

what is 20 percent of 90?​

Answers

Answer:

18

Step-by-step explanation:

18% hope this helpss

Write the number below in expanded notation 75,966

Answers

7.596 to the 4th power

Can anyone help me out? That would be greatly appreciated!

Answers

B. SAS

Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.

Answer:

im not really sure but i believe the answer is B.SAS.

i also know It Not C.HS and D. non of the above.

6 − 3.98 what is the answerrrrr

Answers

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D


!!!HELP !!! Plis





The blue dot is at what value on the number line?

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

if you count from -3, itll be at -6.

13) (-2. – 5v).- (-4v – 2)
Can you help a girl out

Answers

Answer:

If simplifed, it'll be -v

Step-by-step explanation:

Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Answers

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ2

Pls help will give brainlist

Answers

6:4 :) dhshsjwnsnndncncbd
The ratio is 6 basketballs to 4 soccer balls, or generally 6:4

Write 0.09 repeating as a fraction.​

Answers

Answer:

0.09=9\100

Step-by-step explanation:

7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.

Answers

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

Given the following data;

Total number of marbles = 120

Translating the word problem into an algebraic equation, we have;

[tex] r = 19b[/tex] .......equation 1

[tex] r + b = 120[/tex] ........equation 2

Substituting the value of "r" into equation 2, we have;

[tex] 19b + b = 120[/tex]

[tex] 20b = 120[/tex]

[tex] b = \frac {120}{20}[/tex]

b = 6 marbles.

To find the number of red marbles;

From equation 1;

[tex] r = 19b[/tex]

Substituting the value of "b" into equation 1, we have;

[tex] r = 19*6[/tex]

r = 114 marbles.

Therefore, there are 114 red marbles in the bag.

A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

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

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x

Answers

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0

Answers

X= 11, -3 ajshbsyevejsgsvxhfvs

The solutions to the given quadratic equation are x=11 and x=-3.

The given quadratic equation is x²-8x-33=0.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

By using splitting middle term method, we get

x²-11x+3x-33=0

x(x-11)+3(x-11)=0

(x-11)(x+3)=0

(x-11)=0 and (x+3)=0

x=11 and x=-3

Therefore, the solutions to the given quadratic equation are x=11 and x=-3.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ6

3 (x – 4) = 2x + 6
solve for x

Answers

Answer:

Step-by-step explanation:

3 (x – 4) = 2x + 6                  Remove the brackets

3x - 12 = 2x + 6                    Add 12 to both sides.

3x - 12 + 12 = 2x + 6 + 12     Combine

3x = 2x + 18                         Subtract 2x from both sides

3x-2x = 2x-2x + 18              Combine

x = 18

can you put your tongue in a not??

Answers

Answer:

No, it is physically impossible to put your tongue in a knot.

Step-by-step explanation:

Laura needed an electrician to provide electrical repairs in her kitchen. The electrician will charge Laura x ​dollars per hour for a 5-hour job and $20 for electrical parts, and also $50 for a new ceiling fan. Write an algebraic expression in simplest form to determine how much the electrician will charge Laura.

Give the expression and answer please

Answers

Answer:

The answer is 50x + 70

Step-by-step explanation:

I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.

Solve for X
3= x/3.3 x=

Answers

X=9.9 I believe (sry if I’m wrong)

the two pictures are the questions and question five is what i need help with.

Answers

Answer:yes they do

Step-by-step explanation:

Im going to be honest i rlly dk

Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!

Answers

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I need help can you help me

Answers

Answer:

2 : 3

Step-by-step explanation:

BRAINLIEST PLEASE

The population of a town is 8,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years?

Answers

Answer:

11680

Step-by-step explanation:

4.6% of 8000 is 368

368 x 10 = 3680

3680 + 8000= 11680

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

If x2 = 10, what is the value of x?

Answers

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

Answer~

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

simplifyied~

x = 5


6. When you find the unit rate of an item you are finding the cost of ____.

Answers

Answer:

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

36^(-2x+1)=216 solve for x PLZZZZZZ!!!!!

Answers

(6)^2(-2x+1)=(6)³

evaluating the power of both sides as having same base (6)

2-4x=3

2-3=4x

x=-0.25

The solution of the expression for the value of x is -0.25.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]36^{(-2x+1)}=216[/tex]

The expression can be written as:-

[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]

Evaluating the power of both sides as having the same base (6)

2-4x = 3

2-3 = 4x

x = -0.25

Hence, the value of x is -0.25.

To know more about an expression follow

https://brainly.com/question/518453

#SPJ2

i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))

Answers

Im sure it's -3    Because well thats what  i got

ahem wrote 2 numbers the first numbwr has a 7 in its tenths place the second number has a 7 with a value of 1000 times grater than the value of the 7 in the 7 in the first number in witch place is the 7 in the second number


hundreds

tens

hundred thousands

thousands ​

Answers

Hmmm I’d say 100,000. I’m pretty sure the right answer would be 10,000’s but if those are your only options then yes 100,000’s

Sonia saw a school play that was 2.15 hours long. How many minutes long was the play?



129.00 minutes


120.15 minutes


27.90 minutes


62.15 minutes

Answers

Answer:

Answer 120.15 minutes long

Step-by-step explanation:

Answer:

129.00m

Step-by-step explanation:

1h=60m

2.15=x

2.15h×60m=1h×x

129m×h=1h×x divided both side by 1h

129m=x

A booth at the farmer’s market has fresh goat cheese in three sizes of containers. The big container is 30 ounces and costs $9.00. The medium container is 15 ounces and costs $4.95. The small container is 8 ounces and costs $2.00. What size is the best buy? Justify your reasoning.

Answers

Answer:

8 ounce

Step-by-step explanation:

The 30 ounce container costs $0.30 per ounce. The 15 ounce container is $0.33 per ounce. The 8 ounce container is $0.25 per ounce. Therefore, the 8 ounce container costs less per each ounce.

negation "If it rains then I take an umbrella."

Answers

this means that if it’s raining take an umbrella and go thru it regardless in life
Other Questions
whats the answerrr??.. HELP WILL GIVE BRAINIEST AND 20 POINTS!!! MY HOT TOPIC ASSIGNMENT IS ABOUT KAMALA HARRIS BECOMING THE FIRST FEMALE, FIRST BLCK AND FIRST SOUTH ASIAN PRESIDENT ELECT. PLEASE GIVE ME 5 QUESTIONS I CAN ASK MY CLASSMATES IT WAS BE RLLY GOOD ONES/ DEEP THINKING ONES REGARDING THE TOPIC I CHOSE. Fill in the blankAude: Ma moto est sale et mauvaise.Cline: Ma moto est __________. Elle est vieille, sale et pas trs confortable.Charlotte: Ma moto est la pire de toutes.A. la pire que ta motoB. pireC. pire que ta motoD. plus pire que ta moto Which sentence tells when Chinese characters becamestandardized? Select the correct answer.Which of the following is not a martial art?A. Kung FuB. AikidoC. BilliardsD. Muay Thai Which answer best details a weakness of the Articles of Confederation? A certain atom has 26 protons, 26 electrons, and 30 neutrons. Its massnumber is The SWOT analysis helps in the development of marketing plans.TrueFalse 12(1.5x+2) = 14(x+10.5) Does America still provide access to the American dream? What is the equation of the line that passes through the point (3,-5) and has aslope of o? Which is one characteristic that temperate marine and temperate continental climates have in common?mild wintershot summersmany tall treesmoderate amounts of precipitation What is 10+10=? Please Help :P The quotient of a number and 4 is less than -1Write the word sentence as an inequality ASAP!!!!!!! I NEED HELPWhy are there two sets of phases during meiosis, but only one during mitosis? Think about what is different about meiosis and mitosisAnswer correctly or I will report she buys a new bag. ( what) What signaled the end of the 1000 years of monarchial rule in France? When you are in a ready position, your feet should be pointing toward the net, weight is on the balls of your feet, knees are bent and racket is shoulder height in front.Group of answer choicesTrueFalse What is the slope of the line? What is Which equation correctly demonstrates the Distributive Property? F. $a\left(b+c\right)=ab+c$ G. $a\left(b+c\right)=ab+ac$ H. $a+\left(b+c\right)=\left(a+b\right)+\left(a+c\right)$ I. $a+\left(b+c\right)=\left(a+b\right)\cdot\left(a+c\right)$