Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])

Answers

Answer 1

Answer:

(2, 5)

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

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides:                    y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y:                    2(3x + 1) - x = 12Distribute 2:                         6x + 2 - x = 12Combine like terms:           5x + 2 = 12Isolate x term:                     5x = 10Isolate x:                              x = 2

Step 5: Solve for y

Define equation:                    2y - x = 12Substitute in x:                       2y - 2 = 12Isolate y term:                        2y = 10Isolate y:                                 y = 5

Related Questions

match the equation with its graph . identify the slope and y-intercept y= -2/3x+1

Answers

Answer:

the slope is -2/3x and the y intercept is 1

Step-by-step explanation:

janet can read 2.95 pages of a book in a minute if she reads for 4.7 minutes how much would she have read

Answers

Answer:

Janet reads 13.865 pages in 4.7 minutes.

Step-by-step explanation:

Given that Janet can read 2.95 pages of a book in a minute.

unit rate = 2.95 pages/per minute

As she reads for 4.7 minutes.

We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.

i.e.

4.7 × 2.95 = 13.865 pages

Therefore, Janet reads 13.865 pages in 4.7 minutes.

Find the perimeter of the large triangle

Answers

Answeeeeeeeeeeerrrrrrrrrrrrrrr:

36

At an amusement park, each student is given $19 for food. This covers the cost of 2 meals and $7 worth of snacks. How much money does the school expect each student to spend per meal?

Answers

Answer:

6

Step-by-step explanation:

if one meal is 6 dollars you buy 2 meals that would be 12 dollars then u add 7 dollars worth of snacks to get 19

Answer:

6?

Step-by-step explanation:

$6 for one meal

$12 for two meals

so i would say $6

19 (full price) - 7 (snacks)= 12 (price for two meals)

12/2=6 (price for one meal)

Order the following from least to greatest
( 94, 71 1/3, -8, -43 )

Answers

Answer:

-43, -8, 1/3, 71, 94

If you meant that 71 is a mixed fraction:

-43, -8, 71 1/3, 94

please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove ​

Answers

Answer:

(34-4)/2

Step-by-step explanation:

First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D  

HELP!!! ASAP MARKING BRAINLIEST!!!

Answers

Answer:

it's the first one. I hope you get a good grade

which of the following is a solution of 3x^2=7x-3

a.) -7(plus or minus) square root of 13 over 6

b.) 7(plus or minus) square root of 85 over 6

c.) -7(plus or minus) square root of 85 over 6

d.) 7(plus or minus) square root of 13 over 6

Answers

The answer is freaking letter D
the answer is d. 7(plus or minus) square root of 13 over 6

How long will it take for $5,000 to double at the rate of 2.25% interest?

Answers

Answer:

31.15

Step-by-step explanation:

A 3-yard roll of wrapping paper costs $8.64. What is the price per inch?

Answers

0.08$

Step-by-step explanation:

1yrd=36inch

3yard=108inch

108 inch costs 8.64$

8.64/108=0.08$ ( 1 inch cost)

Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?

Answers

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

i need help.please explain and solve the problem.thank you so much that's 4th grade math​

Answers

Answer:

7x50=350

Step-by-step explanation:

There are 50 tables. Each table has 7 legs. How many legs altogether? ANSWER IS 350

Fill in the blank with the correct response.

if 9/24=3/x then x is

Answers

Answer:

x=8

Step-by-step explanation:

9/24=3/x

x=(24*3)/9

x=72/9

x=8.

Hope this helps :D Hit that crown!!!!

Answer:

x = 8

Step-by-step explanation:

Step 1: Cross-multiply

9 * x = (3) * (24)

9x = 72

Step 2: Divide both sides by 9.

9x/9 = 72/9

x = 8

Brainliest?

Stella predicted that she would sell 56 sculptures. She actually sold 30 sculptures. What are the values of a and b in the table below? Round to the nearest tenth if necessary.

Answers

Answer:

a=26 / 56 and b = 46.4 percent

Step-by-step explanation:

From the question, the Approximate value is given as = 56

While the Exact value is given as 30

Error

Absolute error= 56-30=26

Where Ratio= a= error/Approximate value=26/56

Percent error = b= 26/56×100%=46.4

it's a

have an nice day day

Please help. Only if you know it.

Answers

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

This leaves us back where we started, with 0.

Ahmed spends 25$, but earns 30$.

This leaves us with $5, not 0.

Given the third term is 12 and the rate of change is 3. What is the 5th term

Answers

Answer:

The 5th term:

a₅ = 18

Step-by-step explanation:

We know that Arithmetic sequences have a constant rate of change.

Given

a₃ = 12common difference = rate pf change = d = 3

The nth term of the Arithmetic sequence with a₁ and 'd' is defined as

aₙ = a₁ + (n-1)d

Where

a₁ is the first term

d is the common difference

as

a₃ = 12

d = 3

so

Plug in n=3

a₃ = a₁ + (3-1)d

Now Plug in a₃ = 12 and d = 3

12 = a₁ + (3-1)3

12 = a₁ + 2(3)

12 = a₁ + 6

a₁ = 6

so

Formula to find the 5th term

a₅ = a₁ + 4d

Plug in a₁ = 6 and d = 3

a₅ = 6 + 4(3)

a₅ = 18

Therefore, the 5th term:

a₅ = 18

I have a test and I need all the answers

Answers

Answer:

ok what is it

Step-by-step explanation:

Answer:

ok...ask the questions

Step-by-step explanation:

PLease guys help!!!

Ice has ________ energy.
1. mechanical
2. cold
3. heat

Answers

Answer:

ice has kinetic enery

Step-by-step explanation:

Ice has heat energy

ice has kinetic/heat

Find the perimeter and the area of the polygon with the given vertices.

N (0,2), P (5,2), Q (5,5), R (0,5).

Answers

Answer:

the perimeter is "16" and the area is "15"

0=5y+4x+23, 6y-12=-3x

Answers

Answer:

Point Form:

(−22,13)

Equation Form:

x=−22,y=13

Step-by-step explanation:

x=−22
​y=13 is the answer

21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?

Answers

Answers:

2 sedans and 3 vans

=====================================================

Work Shown:

s = number of sedans

v = number of vans

1 sedan = 5 seats

s sedans = 5s seats

1 van = 7 seats

v vans = 7v seats

5s+7v = all seats

5s+7v = 31

Let's go through all the values of s to see which values of v work.

If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.

As a check:

2 sedans = 5*2 = 10 seats

3 vans = 7*3 = 21 seats

10+21 = 31 seats total

This confirms the answer.

The number of vans used is three and the number of sedans is two

Let :

v represent the number of vans

s represent the number of sedans

The following equations can be gotten

7v + 5s = 31 equation 1

v + s = 5 equation 2

The elimination method would be used to solve for v and s

Multiply equation 2 by 7

7v + 7s = 35 equation 3

Subtract equation 1 from 3

2s = 4

s = 4/2

s = 2

Substitute for s in equation 2

v + 2 = 5

v = 5 - 2

v = 3

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

what is the slope of the line that passes through the points (0,0) and (5,20)

Answers

Answer:

The slope is 4

Step-by-step explanation:

hope this helps!

HELPPP PLZZZ QUICKKK THIS IS DUE IN 2 MINUTESSSSSSS

Answers

Answer:$31.36

Step-by-step explanation:

Slope and y intercept of y=2.7x+8

Answers

Answer:

slope: 2.7

y-intercept: (0,8)

Step-by-step explanation:

In the form y = mx + b, m is the slope and b is the y-intercept.

slope : 2.7
y-intercept : (0,8)

All male teachers better dom me rn tell me to stop misbehaving or else

Answers

1$7+p =www to the 5th so your correct

ma'am/sir please this is a Wendy's

plz help! WILL GIVE BRAINLIEST

Answers

Answer:

3x+7=y

Step-by-step explanation:

There is a 12% sale on glue sticks. The
original price was $3.00 What is the new
cost?

Answers

Answer:

$0.36

Step-by-step explanation:

12*3       36

____ =____

100      100

6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)

Answers

first distribute the 6

6x-12=-18

now we add the 12 to both sides

6x=-6

then we divide 6

x= -1

Count by 5’s starting with 99

Answers

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2​

Answers

Answer:

-20 3/4, -15 1/2, -14 3/4,

Step-by-step explanation:

Other Questions
Which item will appear on the credit side of ledger account? a. Cash recived from a customer. b. Services performed to a customer. c. Purchases. d. Rent Expanses. Find x in the equation? Which of the following was an effect of the Boston Massacre?| what is a Tiny Area Network? why must we exercise patience when they learn new things? Could you please write about Tribune Tower in Chicago(do not copy paste it)? Which of the following expressions is not equivalent to (-2)(8 + 6 + -3)?answers: 1. (-2)(8) + (-2)(6) + (-2)(-3)2. (-2)(8 + 6) + (-2)(-3)3. (-2)(8) + (-2)(6 + -3)4. (-2)(8 + 6) + (-3) write a c++ program that prints the intial letter of any name True or false; adding "isimo" or "isima" to the end of an adjective emphasizes it.True or False Last month, an airline made 2,905 reservations for flights from Cleveland, Ohio to Newark, New Jersey. After 25 cancellations, there were still 18 full flights. Which airplane made the flights? What is the slope of the line that contains these points? PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP Should graffiti be considered art? 175 words please. your own words please What is true about the domain and range of the function?A.The domain is all real numbers less than or equal to 4 and therange is all real numbers such that -3 SS1B. The doman is alrerumbers such thes-35251 and therange is real numbers less than or equal toc. The domain is alreal numbers, and the range is a realnumbers less than or equal to 4D. The domains all real numbers less than or equal to 4 and therange is all real numbers Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff's income for taxes. What are geoff's total weekly earnings after taxes are withheld?A) $ 39.41B) $59.90C) $ 330.60D) $ 370.00 failed my elementary statistics college class, 1st semester, can i retake the same class? or no Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.2/4 =5/xx = Worth 25Psychologist Abraham Maslow theorized that people are motivated by six basic needs which must be fulfilled in turn: three deficiency needs and three growth needs. The deficiency needs are, first, food, water and sleep; second, physical and mental stimulation; and third, safety and security. Prompted by their growth needs, people reach outward for love, friendship, and a sense of belonging; seek other peoples approval and respect; and, _____, self-actualize achieve self-fulfillment and realize their full creative potential.A. afterB. instanceC. lastlyD. on the other hand One of the biggest influences on Ancient Greek art and culture was: awar broyalty chumanism dafter life How did humans create cow breeds that survive well in cold weather?Select one:OThey identified cows that did well in cold weather and mated them.OThey mated cows with sheep that had very thick wool.OThey mated cows with caribou that tolerated the cold well.OThey identified cows that did well in hot weather and mated them 9. What will help you determine the kinds of tools, equipment and utensil you will assemble, sanitize, inspect or check? a. the kind of product to be produced b. the method of food processing to be done c. the raw materials to be processed d. the availability of tools, equipment and utensils