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

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

Count by 5’s starting with 99

Answers

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

hehe

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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  

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:

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!

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.

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

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

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?

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

plz help! WILL GIVE BRAINLIEST

Answers

Answer:

3x+7=y

Step-by-step explanation:

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

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.

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

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

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

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)

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)

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:

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:

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)

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

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:

Find the perimeter of the large triangle

Answers

Answeeeeeeeeeeerrrrrrrrrrrrrrr:

36

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"

HELP!!! ASAP MARKING BRAINLIEST!!!

Answers

Answer:

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

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

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
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