Solve the system of linear equations by elimination. Check your solutions.

-5x + 3y = -6
9x - 4y = 1

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

Jill and Beth are sisters. Jill is 1⁄3 of Beth’s age. Let b represent Beth's age. Write an algebraic expression to show Jill’s age.

You eat c candy bars at the movies. Your friend eats two candy bars fewer than you eat. Write an expression that describes the number of candy bars your friend eats.

The number of coffee shops on Main Street is four less than three times the number of coffee shops, on 3rd Avenue. Which expression can be used to determine the number of coffee shops on Main Street?

Arlin ran a certain number of miles, m. Liam ran 4 times the sum of m and 5. Write 2 equivalent expressions to show how many miles Liam ran.

Simple figures review

Find the value of 15+2k when k=3.

20 points to whoever gets this right <3 ( need a equation )

Nabhitha buys cookies and onions at the store.
She pays a total of $60.39.
She pays a total of $4.79 for the cookies.
She buys 8 bags of onions that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of onions costs.

Please help me w/ this question!

giving brainliest for whoever has the most descriptive answer and reasoning for this question. (+five stars)

Elle has just opened a boutique clothing shop. Because of the startup costs, for the next month her net earnings for an outfit is −$6.75. On Saturday during that month, she sold 7 outfits. What are Elle’s net earnings for Saturday?

PLEASE HELP ME

1. In a comparison taste test of two juice drinks, 780 people preferred

Cranberry Blast. Only 220 people preferred Melon Splash. Complete

each statement.

a. There were more people who preferred Cranberry Blast.

b. In the taste test, () of the people preferred Cranberry Blast.

c. People who preferred Cranberry Blast outnumbered those who

preferred Melon Splash by a ratio of () to ().


Students at a middle school are asked to record how they spend their

time from midnight on Friday to midnight on Sunday. Carlos records

his data on his phone. Use his phone sereen for Exercises 4-7.


Decide whether each statement is an accurate description of how

Carlos spent his time that weekend. Explain your reasoning. Please refer to the smartphone image. ()

————

Carlos spent one-sixth of his time watching television. ()

————

The ratio of hours spent watching television to hours spent doing

chores or homework was 3 to 1. ()

————

Sports, Internet, and watching television took about 33% of

his time. ()

————

Time spent doing homework was only 20% of the time spent

watching television. ()

————

Sleeping, eating, and "other" activities took up 12 hours more

than all other activities combined. ()

————

A class at Middlebury Middle School collected data on the types of

movies students prefer. Complete each statement using the table.

Types of Movies Preferred by Middlebury Students

Action- 75,90

Comedy-105,150

Total-180,240


The ratio of seventh-graders who prefer comedies to

eighth-graders who prefer comedies is () to ().


b. The fraction of total students (both seventh-and eighth-graders)

who prefer action movies is ().

C. The fraction of seventh-graders who prefer action movies is ()


The sketches betow show two members of the Grump family. The

Crumps are geometrically similar. Use the figures in exercises 33- 36.

Grump A- 0.8 in.

Grump B-1.2 in.

33. Write statements comparing the lengths of corresponding segments

in the Grumps. Use each concept at least once.

a. ratio

b. fraction

c. scale factor



Suppose a news story reports "A survey found that

of all Americans watched the Super Bowl on television." Bishnu thinks this means the survey reached seven people and four of them watched the Super Bowl on television. Do you agree with him? If not, what does the
Statement mean? ()

29 POINTS TO WHOEVER GETS THIS RIGHT ( NEEDS AN EQUATION AND ANSWER)

Ava bought snacks for her team's practice. She bought a bag of oranges for $2.71 and a 4-pack of juice bottles. The total cost before tax was $6.75. Write and solve an equation which can be used to determine jj, how much each bottle of juice cost.

Select all ratios equivalent to 16:12 A. 12:9 B. 4:24 C. 48:36

The diagram shows the plan for a lawn. A landscaper needs to

buy grass seed to cover the lawn. One bag of grass seed covers

an area of 900 yd2. How many bags of seed does the landscaper

need to buy to cover the lawn? Show your work.

I need the answers to all of them please :(

The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 8.7 inches and the length of each side is 10 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 10 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 8.7 inches.

Part A: Describe how you can decompose this shape into triangles. (2 points)

Part B: What would be the area of each triangle? Show every step of your work. (5 points)

Part C: Using your answers above, determine the area of the table's surface. Show every step of your work. (3 points)
Please answer Part A, Part B, And Part C! Will give brainliest

8 out of 32 students in the class do not have a pet at home. what percentage of students have pets?

Gerald is trying to gain muscle and needs
to consume more protein every day. If he has
a protein shake that contains 32 grams and
the entire shake is 340 grams, what
PERCENTAGE of the entire shake is protein?
What is the ratio between grams of protein
and grams of non-protein?

PLEASE HELLPPP!!!!!A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?

All the data lies below 80.
The median could be in the range 81 – 90.
The mean of the data will not be between 81 – 90.
The relative frequency of the class 81 – 90 is 0.

Which table represents a linear function?

PLEASE HELP YALL THIS IS A DIAGNOSTIC FOR CHRIST'S SAKE

Help..??






















20 points=super nice reply= good rating=brainly :>

Jeremy is practicing some tricks on his skateboard. One trick takes him forwards 5 feet, then he flips around and moves backwards 7.2 feet, and then he moves forward again 2.2 feet. a). What expression could be used to find how far Jeremy is from his starting position when he finishes the trick b). How far from his starting point is he when he finishes the trick? Explain.

A 3ft baby elephant standing next to a man casts a 7ft shadow, if the man casts a 14 foot shadow, how tall is he?

Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?

Sam spends $125 to buy 6 pairs of shoes. What is the cost per pair of shoes? Round to the nearest hundredth if necessary.

Which expression represents the product of x3+2x-1 andx4-x3+3?

PLEASE HELPPPPPA

To avold a storm, a passenger-jet pilot descended 0.44mile in 0.8 minute. What was the plane's average change of altitude per minute?

Please help! ASAP
i will mark brainliest!

MATH MATH MATH MATH MATH MATH

12 Points!!!!
Please take your time and answer correctly, I do not want to get this wrong!!!

help please its for a grade

a/5 divided by 3a/10
if a doesnt equal to 0

Using the easy chili recipe below, what is the unit rate of beans per pound of hamburger? Round to the nearest hundredth if necessary.