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

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:

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

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.

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

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

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°

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

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:

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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.

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%


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:

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:

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!)

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)

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

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

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:

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:

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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:

PLSSSS HELPPPPP ASAP

Answers

D.

Perimeter is when you add and not multiple:)

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

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

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

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

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

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

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

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

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

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