Solve the following system of equations using the substitution method


y - 3x = 12

y = - 3​

Answers

Answer 1

Answer:

x = 5

y = -3

as an ordered pair: (5,-3)

Step-by-step explanation:

if y = -3, then replace y in the first equation with -3.

-3 - 3x = 12

move -3 over to the other side by adding 3 to both sides.

3x = 15

x = 5

y = -3

Answer 2

Answer:

x = -5

y = -3

Step-by-step explanation:

Two equations

Solve using substitutition

y = -3

y - 3x = 12

_____________________

Since the first equation has y alone, we can plug it into the second equation for y.

(-3) - 3x = 12

-3 - 3x = 12

Add 3 to both sides :

-3x = 15

Divide -3 from both sides to get x alone :

x = -5

Now that we have x, plug it into x in the second equation :

y - 3(-5) = 12

y + 15 = 12

Solve for y :

Subtract 15 from both sides :

y = -3


Related Questions

What is the opposite of the opposite of the opposite of 29?​

Answers

Answer:

-29

Step-by-step explanation:

First opposite: -29

Second opposite: 29

Third opposite: -29

What expressions equivalent to 25c+15 ? ( more than one answer )

A. 25c+15/5
B. 5c+15
C. 3+5c
D. 1/5(25c+15)
E. 5(25c+15)

Answers

Answer:

The only one that looks familiar is B sorry >-<

Step-by-step explanation:

Answer: The correct answers are C and B

Step-by-step explanation:

What is the solution for the system shown below?

Answers

Answer:

Step-by-step explanation:

the solution to the pair is (5,2)

John has 44 quarters.
Jan has 100 dimes. Who
has more money?

Answers

John has more.

John has $11 while Jan has $10

Really don’t understand this one

Answers

Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

PLEASE HELP I NEED THIS ASAP
which relation is not a function?

Answers

Answer:

im not completley sure but i think its B

Step-by-step explanation:

I think it’s d but if I’m wrong sorry

The Gonzalez family sold their home for $256,000. Their real estate agent earned 5.5% in commission of that sale. How much did the Gonzalez family get to keep from the sale?

Answers

The Gonzalez family kept 241,920 from the sale

18.0*18.9 please help, please!

Answers

Answer:

340.2

Step-by-step explanation:

18.0 x 18.9 = 340.2

Answer:

18.0x18.9=340.2

Step-by-step explanation:

Tasha is rolling 2 dice. Use a probability model to determine the theoretical probability that she will roll an even number on the first die and a multiple of 3 on the second die?

Answers

Answer:

4/12 probability

Step-by-step explanation:

there is 4/12 chance she will roll this


Please solve quickly! I’ll give brainliest as soon as possible!

Answers

Answer:

5.4

Step-by-step explanation:

Ita a basic right triangle problem

c^2=a^2+b^2c=db=7-2=5a=4-2=22^2+5^2= dd= 5.39 (rounded to 5.4)
Hi I’m pretty sure it’s 5.4 hope this helps :)

help it's my last question!! (slopes) (brainliest)

Answers

Answer:

x- intercept : How many sandwichs he bought

y-intercept : How many drinks he bought

Simplify. 28x^2/7x^6​

Answers

Answer:

4x^8

Step-by-step explanation:

hope this helps

Rick wants to divide his 11 inch ribbon into sections
spaced apart 2 1/3 centimeters.
How many holes would Rick have on his ribbon?

Answers

Answer:

12

Step-by-step explanation:

since 1 inch equals 2.54 cm then 11 inches equals 27.94 cm

27.94 ÷ 2.33 = 11.99

John plants 36 tulip bulbs in his
garden. He has used half of the tulip
bulbs. How many did he have to
begin with

Answers

Answer:

72

Step-by-step explanation:

if he has half then its 36x2=72

BRAINLIEST Please help i'd appreciate it thanks, Have a nice day :)

Answers

Answer: 70 square centimeters.

Explanation: The area of a parallelogram is base times height.

Because the parallelograms are congruent, we can do 4*(3.5*5), which equals 70 square centimeters.

NEED HELP ASAP PLEASE AND THANK YOU:
Sherry draws a triangle. The length of side AC is 12 inches. The length of side AB¯ is 9 inches. She wants to draw a line XY that is parallel to BC. If she draws point X 3 inches from B, how far from point A does she need to draw point Y so that XY∥BC?

A. Point Y should be 10 inches from point A.

B. Point Y should be 4 inches from point A.

C. Point Y should be 4.5 inches from point A.

D. Point Y should be 8 inches from point A.

Answers

Answer:

D. Point Y should be 8 inches from point A

Step-by-step explanation:

could you explain to me how to do this ? I do not understand at all

Answers

Answer:

I believe this is how you do it

Step-by-step explanation:

csc∅tan∅

(1/sin∅)(sin∅/cos∅)

(sin∅)/(sin∅cos∅)

1/(cos∅)

sec∅

csc²∅tan²∅sin∅

1/(sin²∅) * tan²∅ * sin∅

tan²∅/sin²∅ * sin∅

tan²∅/sin∅

32) In a triangle, the exterior angle is twice of each of the interior remote angles. The exterior angle is 1200. Find the measure of the three angles of the triangle.

Answers

Answer:

60 degrees each

Step-by-step explanation:

For the triangle, the sum of the interior angles is equal to the exterior

Let x and y be interior

Let z be the third angle

w be the exterior

w = x+y

120 = x+y

If the exterior angle is twice of each of the interior remote angles, then;

2x = 2y

x = y

120 = x+x

2x = 120

x = 60

Since x = y, y  = 60 degres

From the triangle, the third angle will be 180 - 120

z = 180-120

z = 60

The measures of the 3 angles are 60 degrees each

A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year? PLEASE HELP

Answers

Answer:

Decreased by 12%

Step-by-step explanation:

to find percentage change ---     new-original/original x 100

-78/650 x100 = -12%

If Gavin has 6 9/20th of time left to play videos, what is that mixed number written in minutes and seconds?

Answers

Answer:

[tex]387\ \text{minutes}[/tex]

Step-by-step explanation:

The time Gavin has is [tex]6\dfrac{9}{20}\ \text{hours}[/tex]

[tex]6\dfrac{9}{20}=\dfrac{20\times 6+9}{20}[/tex]

[tex]=\dfrac{129}{20}\ \text{hours}[/tex]

[tex]=6.45\ \text{hours}[/tex]

[tex]=6\times 60+0.45\times 60=360+27[/tex]

[tex]=387\ \text{minutes}[/tex]

The number of minutes is [tex]387\ \text{minutes}[/tex].

A painter is placing a ladder to reach the third story window, which is 14 feet above the ground and makes an angle with the ground at 70°


How far out from the base of the building does the ladder need to be positioned? Round your answer to the nearest tenth.

Answers

Answer:

4.8

Step-by-step explanation:

We are given the hypotunese or the slanted side which is the ladder length which is 14.

We are given an angle at the bottom which is 70 degrees.

We are asked to find the horizontal side which is adjacent to the angle at the bottom.

Since we have a hypotunese and a side adjacent to the angle, we are going to use the function cosine.

we use this formula

[tex] \cos(theta) = \frac{adj}{hypo} [/tex]

[tex] \cos(70) = \frac{x}{14} [/tex]

x=4.8

33.52 is 419% of what?

Answers

Answer:

140.4488

Step-by-step explanation:

Answer:419% of 33.52 = 140.4488

Step-by-step explanation: If you multiply .419 by 33.52 you get 140.4488

Plz help me plzzzz I need it

Answers

Step-by-step explanation:

y= 30x + 180

there is no solution to represent Karen which is 4x + 100

1. Malik has $30,000 in a savings account that earns 8% annually.
The interest is not compounded. How much total money will he
have in 2 years after collecting the interest?
a. How much simple interest did Malik receive?
$
b. How much total money does Malik have after the 2 years?
$

Answers

Step-by-step explanation:

I= prt

I= 30000×8%×2

I= 4800

total = 30000+4800

=34800

what is the answer of this question? ​

Answers

9514 1404 393

Answer:

  970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

  (5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

  (5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

  = 125 +3·50√6 +3·120 +48√6

  a³ = 485 +198√6

The reciprocal of this is ...

  b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

  b³ = 485 -198√6

Then the sum is ...

  a³ +b³ = (485 +198√6) +(485 -198√6) = 970

If Sally purchased a set of books to sell at her store. She wants to mark up the books by 30%. Which equations would represent the price, p, she plans to sell the books for? (Select all that apply)

A
1.03p

B
1p + 0.3p

C
130p

D
1.3p

E
1p + 0.03p

Answers

Answer:

it would be D

Step-by-step explanation:

Which of the following is equal to 287 ÷ 7?
A.
(280 ÷ 7) + (7 ÷ 7)
B.
(280 ÷ 7) - (7 ÷ 7)
C.
(280 + 7) ÷ (7 + 7)
D.
(280 ÷ 7) + (280 ÷ 7)

Answers

Answer:

(280+7) ÷ (7+7)

Step-by-step explanation:

hopefully this helps ya

The equation that is equal to 287 ÷ 7 is (280 + 7) ÷ (7 + 7). The correct option is C.

What is equation?

An equation is a statement in mathematics that shows that two expressions are equal. It has two sides that are separated by an equal sign.

To find the value of 287 ÷ 7, we can use the following methods:

(280 ÷ 7) + (7 ÷ 7) = 40 + 1 = 41(280 ÷ 7) - (7 ÷ 7) = 40 - 1 = 39(280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5(280 ÷ 7) + (280 ÷ 7) = 40 + 40 = 80

We can simplify 287 ÷ 7 as follows:

287 ÷ 7 = 280 ÷ 7 + 7 ÷ 7

Note that 7 ÷ 7 simplifies to 1, so we have:

287 ÷ 7 = 280 ÷ 7 + 1

Therefore, the answer is C. (280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5.

For more details regarding equation, visit:

https://brainly.com/question/29657983

#SPJ2

can you help me please ​

Answers

tan = opp/adj

tan 20 = opp/10

x = 10(tan 20)

x = 3.63....

x = 3.6 cm

The answer is for x= 3.6

Death Valley has an elevation of 282 feet below sea level. Townes Pass Summit has an elevation which is 4,956 greater than the elevation in Death Valley. Which integer represents the elevation of Townes Pass?

-5,238 feet
5,238 feet
-4,674 feet
4,674 feet

Answers

Answer:

Choice #4)  4674 feet above sea level

Step-by-step explanation:

4956-282=4674

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x = 98 degrees

Step-by-step explanation:

A heptagon has a total of 900 degrees for the interior angles. Add up all the angles and then subtract from 900 to find x.

146+122+142+140+110+142 = 802.

900-802 = 98

Answer:

x = 98

Step-by-step explanation:

This shape has 7 sides. Using the formula n - 2 we can get the number of triangles. n represents the number of sides.

n - 2 = 5

All triangles have 180 degrees, so multiply 180 by the number of triangles (5).

180 × 5 = 900

The total number of degrees in this shape is 900. Adding the other angle measures and then subtracting them from 900 gives us x.

146 + 122 + 142 + 140 + 110 + 142 = 802

900 - 802 = 98.

x = 98

Other Questions
Can someone plz help me... it would be great if u did all three questions Burning wood in the rainforest releases carbon dioxide into the atmosphere. What is this said to cause?A. an ice shelfB. global warmingC. ocean acidificationD. polar vortex Which way do the players on the court rotate during a game? What happens if the players serve out of order? GIVING BRAINLIST A society's world view can be shaped by various factors including geography, contact with other groups, ideas and knowledge. How might each of these events (The Spanish Inquisition, Treaty of Tordesillas, The Reconquista, Muslim tile of the Iberian Peninsulas) influenced the values and beliefs of the Spanish? IM GIVE BRAINLIEST!!!Martha Washington _____________ at Valley Forge.A) was unable to help the troopsB) nursed her sick husband back to healthC) fought on the battlefieldPLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ I NEED HELP!!!!!!!!!!!!!!!!!!!! here is an example jy26903 PLEASE HELP GIVING BRAINLIEST TO WHOEVER CAN HELP ME OUT!!!!!!!!!!!!!!!!!Research the path that food takes as it travels the digestive system. Take notes in your lab journal on what occurs at each of the major parts / organs involved. Be sure to also include notes on the accessory organs that are involved with digestion. If LM = 6, what is the perimeter of PKQ? What appears to be the scope of the Civil Rights movement, in Kings opinion? Do you think that Austria Hungary was justified in declaring war on Serbia after the assassination of Archduke Franz Ferdinand? 1. Estos pantalones son (cmodos, cmodas, cmodo) Which of the following does NOT describe Jim Bridger? Jane sold a house for $160,000 that she listed. Her broker charges a % commission and she receives 60% of the commission. How much did Jane receive? prices provide _____ to both consumers and producers. A.incentives B.security C.assurence D.quantities A veritical brass rod of circular section is loaded by placing a 10 kg wt on top of it .if it's length is 1 m. it's radius of cross section 1cm find the energy stored in rod .Y=3.5 10^10 Nm2 Difference between surface of moon and surface of earth How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer. About how many miles was it across the desert to get from Timbuktu to Fez in the north? If f(x) = (1/8)(8^x), what is f(3)? Name three adjectives that describe the Middle Passage.