Solve by the substitution method.
6x + 8y = 0
-7x + y = 31

Answers

Answer 1

Answer:

(-4, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x + 8y = 0

-7x + y = 31

Step 2: Rewrite Systems

-7x + y = 31

Add 7x to both sides:                    y = 7x + 31

Step 3: Redefine Systems

6x + 8y = 0

y = 7x + 31

Step 4: Solve for x

Substitution

Substitute in y:                    6x + 8(7x + 31) = 0Distribute 8:                        6x + 56x + 248 = 0Combine like terms:           62x + 248 = 0Isolate x term:                     62x = -248Isolate x:                              x = -4

Step 4: Solve for y

Define equation:                    -7x + y = 31Substitute in x:                       -7(-4) + y = 31Multiply:                                  28 + y = 31Isolate y:                                 y = 3

Related Questions

2y+ 3 = 15
I have to solve for y but it is complicated

Answers

Answer:

y=6

Step-by-step explanation:

2y = 15 - 3

2y = 12

y = 6

I hope this helps

2y+3=15
2y+3-3=15-3
y=6

plz help i will mark you as brainlist

Answers

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

I’m pretty sure it’s A

The table represents the function f(x). What is f(3)?

Answers

Answer:  D) 9

Explanation:

f(3) means the value of f(x) when x = 3.

Locate 3 in the x column. The value just next to this is 9.

Therefore, f(3) = 9.

I need help with this question pls

Answers

Answer:

yes

Step-by-step explanation:

yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost

btw just copy/paste :P

What is the solution of the equation 70 = 1.4y ?

Answers

So you basically have to divide 1.4 on both sides so you can get y by its self. Once you divide 60 by 1.4 you’ll get 50.

y=50

The solution of the equation 70 = 1.4y is 50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 70 = 1.4y.

Seventy equal to one point four y.

In the given equation the variable is y.

We need to solve for the y.

70 = 1.4y.

Divide both sides by 1.4

70/1.4=y

Seventy divided by one point four equal to y

50=y

The value of y is fifty.

Hence, the solution of the equation 70 = 1.4y is 50.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?

A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3

Answers

Answer:a

Step-by-step explanation:

On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?​

Answers

Answer:

x=2

2 games.

Step-by-step explanation:

3 + 4.50x = A

6 + 3x = A

3 + 4.5(2) = 12

6 + 3(2) = 12

Find the measure of the numbered angle.
m∠1 =

Answers

Answer:

∠1 = 50°

Step-by-step explanation:

right triangle.

∠1 = 180 - 90 - 40

∠1 = 50°

Consider the sets below.
U=x| x is a real number}
A= x| x is an odd integer)
R=x|x=3, 7, 11, 27}
Is RCA?
O yes, because all the elements of set A are in set R
O yes, because all the elements of set R are in setA
O no, because each element in set A is not represented in set R
O no, because each element in set R is not represented in set A

Answers

Answer: BBBBBB

Step-by-step explanation:

The correct option is,

"Yes because all the elements of set R are in set A"

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given the following sets;

U = {x | x is a real number}

A = {x | x is an odd integer}

R = {x | x = 3, 7, 11, 27}

Hence, The elements of the set A are,

⇒ A = {1, 3, 5, 7, 9, 11...}

R ⊂ A can be interpreted as R is a subset of A

i.e all the elements of R can be found in A.

Since, all the elements of R are all odd integers and can be fi=ound in A, hence R ⊂ A is TRUE.

The correct option is "Yes because all the elements of set R are in set A"

Learn more on subset here:

brainly.com/question/2000547

#SPJ5

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?

If so, the equation is:

[tex]f(-2)=2(-2-3)(-2)^4[/tex]

2(-5)(16)

-10(16)

-160

If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)

Answers

(ANSWER - 200) (EXPLANATION - we know 125 miles is 5 gallons. divide 125 by 5, you get 25 miles per gallon. 25 times 8 is 200!)


On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?

Your answer:

help o_o

Answers

Answer:

94%

Step-by-step explanation:

42.5 subtract 7.32? Please help me with his question?

Answers

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Need help asap not really good with these types of questions

Answers

Step-by-step explanation:

AC = AD result : given (Side congruence)

CB = DB result: given (Side congruence)

AB =AB result : reflexive property (side congruence)

ACB=ADB (SSS)

Write the equation of the line that is parallel to y = -6x + 10 and crosses the y-axis at -4.

Answers

Answer:

y= -6x-4

Step-by-step explanation:

As two lines are parallel, their slope is same which is -6

Now, use:y-y1=m(x-x1)

y-(-4)= -6(x-0) (y1=-4,x1=0, cause the equation of y axis is x=0)

So,y= -6x-4

PLSSSS HELPPPPP ASAP

Answers

D.

Perimeter is when you add and not multiple:)

I need an answer to What is: p - 10 = 5

Answers

Answer:

P would be substituted with 15, so the equation would be accurate

Step-by-step explanation:

A rectangular garden is 45 feet long and has perimeter 150 feet. Rows
of plants are planted 3 feet apart. Find the area of the garden.

Answers

length will be represented as l and breadth as b.
perimeter=l+l+b+b=45+45+b+b=150
b+b=150-45-45=60
b=60÷2=30
area=lxb=45x30=135
the area is 135 feet.

5. The scale on the map of a park is 5 in.: 3 mi. The distance from the entrance of the park to the playground is 9 miles. How many inches long is the distance on the map?​

Answers

Answer:

15 inches

Step-by-step explanation:

Here, we have a scale of 5 inches to 3 miles

We have 9 miles here, we now want to get the amount of corresponding inches

Let the corresponding inches be x

5 inches to 3 miles

x inches to 9 miles

That means ;

x * 3 = 5.* 9

x = 45/3

x = 15 inches

Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12

A) x

B) y

C) 3

D) 12

Answers

The answer would be 12
Y=mx+b
B is the y intercept
B=12

In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area

Answers

Area is the right answer... I guess

Answer: perimeter

Step-by-step explanation:

How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee

Answers

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

II. Mr. Roy sold a cupboard to Mohan for RO 60 and earned a profit of RO 10. Mohan spent RO 27 to polish and repair the cupboard. He then sold it to Gopi at a profit of RO 8. After using the cupboard for a year , Gopi sold it to a furniture dealer for RO 90. Did Gopi make a profit or a loss in the deal? *

Answers

Answer:

Gopi made a loss in the deal

Step-by-step explanation:

To solve this question, we'll analyse each statement in the question one after the other.

From Roy to Mohan,

[tex]Selling\ Price = Ro.\ 60[/tex]

The profit of [tex]Ro.\ 10[/tex] goes to Roy

Mohan spent [tex]Ro. 27[/tex] on polish and repairs.

So, the cost price of the cupboard becomes

[tex]Cost\ Price = Ro.60 + Ro.27[/tex]

[tex]Cost\ Price = Ro.87[/tex]

He sells at a profit of [tex]Ro.8[/tex]. to Gopi

So, the selling price is:

[tex]Selling\ Price = Ro.8 + Ro.87[/tex]

[tex]Selling\ Price = Ro.95[/tex]

At this stage, the cost price of the cupboard to Gopi is:

[tex]Cost\ Price = Ro.95[/tex]

and

[tex]Selling\ Price = Ro.90[/tex]

Profit is calculated as:

[tex]Profit = Selling\ Price - Cost\ Price[/tex]

[tex]Profit = Ro.90 - Ro.95[/tex]

[tex]Profit =- Ro.5[/tex]

Because; the profit is negative, then it is a loss.

[tex]Loss = Ro.5[/tex]

Gopi made a loss in the deal

What dividend is represented by the synthetic division below?

Answers

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

I took the test and I got a 100%

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

How many 1/5s are there in 8/10?

Please answer right away helpers!!!
The time is ticking by now.

Answers

4/5=8/10, therefore the answer is 4

Write this percentage as a fraction in its simplest form.
24%

Answers

Answer:

6/25

Step-by-step explanation:

24/100=12/50=6/25

Answer:

[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]

Step-by-step explanation:

[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Which function is equivalent to f(x) = -4(x + 7) – 6?

Answers

Answer:

f(x) = - 4x - 34

Step-by-step explanation:

Given

f(x) = - 4(x + 7) - 6 ← distribute parenthesis

     = - 4x - 28 - 6 ← collect like terms

     = - 4x - 34

1000 divided by 4 equal to what

Answers

Answer:

250?

Step-by-step explanation:

1000÷4=250

I think this is the right answer.

Answer:

250

Step-by-step explanation:

100/4 =25

you just add another 0

A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?​

Answers

Answer: 0.007%

you divide 56% by 8,000 and you get 0.00007

then you multiply it by 100 and you get 0.007

so its 0.007%

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

Other Questions
Aprate! La tienda____(cerrar) en cinco minutos y quiero ver las tabletas.OcierranO cierraO cerrisOcierras I have no idea how to find the values of x and y in that diagram. Can someone help? SOMEBODY PLEASE TELL ME THE ANSWER TO THIS QUESTION HURRY I ONLY HAVE 41 MINITES LEFT TO TAKE THID TEST!!!!! who suffered due to industrialisation pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher? Bart thinks mice exposed to microwaves will get stronger (maybe he's been reading too much Radioactive Man). You decide to perform this experiment by placing 10 mice in a microwave for 10 seconds. He compared these 10 mice to 10 other mice that had not been exposed. His test consisted of a heavy block of wood that blocked the mouse's food. found that 8 out of 10 of the microwave mice were able to push the block. 7 out of 10 of the mice without microwaves were able to do the same.identify1. control group2. independent variable3. dependent variable4. what are some of the mentioned control variables? 5. what should bart's conclusion be? If a pure-bred tall plant is crossed with a pure-bred short plant, the offspring will be:a. Either tall or shortb. All offspring will be medium sized.c. Some offspring will be tall, some will be short and some will be medium sized. please help meeeeeeeeeee Solve :x^7/x^5+2x^4+x^3 (x+1)^3/x^4 The Environmental Protection Agency has been the environments watchdog for close to years.fivetwenty-fiveforty-fivesixty x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination what is the net force of 4N 2N!! The amount of force that muscles can aply to move a heavy object is known as: A. Explosive strength B. Dynamic strength C. power D. static strength nsnanananaananananannan Two liquids A & B are miscible with each other at room temperature. Which separation technique will you apply to separate the mixture of A & B if the difference in their boiling points is 27-degree celsius How was the Jefferson's Republican approach to the presidency different from that of the Federalists? (5 points) aRepublicans wanted to increase military expenses and build a permanent National Navy bRepublicans wanted to support Britain in their wars cRepublicans wanted to limit the role of the federal government. dRepublicans wanted to increase taxes and keep the Alien and Sedition Act click on the volume of this rectangular prism. What did conductor say before the train sped away in polar express can some write me a poem and use figurtive language any topic from blow blow thur the winter wind plsss 30 points SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASETHE ATTACHMENT