Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Part A: Solve by graphing.

Part B: Solve by substitution.

Part C: Solve by elimination.

Describe the process and steps you used to solve each method.

Answers

Answer 1

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it


Related Questions

Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45

Answers

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

( 3 1 ​ ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals

Answers

Answer:

I guess that we have the equation:

(1/3)^2 + 3^2 =

And we want to solve it.

Here just remember that:

3^2 = 3*3 = 9

then:

(1/3)^2 = (1/3)*(1/3) = 1/9

replacing these in the expression, we get:

(1/3)^2 + 3^2 = 1/9 + 9

If we want to write this as a single fraction, we can rewrite:

1/9 + 9 = 1/9 + (9/9)*9

           = 1/9 + 81/9 = (1 + 81)/9 = 82/9

The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]

Calculate 3 squared:

[tex]3^2 = 9[/tex]

Now, substitute these values back into the original equation:

[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]

To add these fractions, you need a common denominator. In this case, the common denominator is 9:

1/9 + 81/9 = (1 + 81)/9 = 82/9

So, the solution to the equation is 82/9.

To know more about equation:

https://brainly.com/question/14603452

#SPJ3

Complete question is:

Solve the equation: (1/3)^2 + 3^2 =

Need the answer please help ?

Answers

I think it is B not fs tho

1 kilogram of flour costs 80.00, calculate the number of kilograms in a bag is sold for 4,000.00 ​

Answers

Answer:

a

Step-by-step explanation:

everything can be found in the picture

Answer:

50kg

Step-by-step explanation:

because 1 bag costs80

so

divide 4000

80

ans=50kg

Find the area of this circle.
Use 3.14 to approximate .
A = ar2
14 ft
A = [ ? ] ft?

Answers

Answer:

A =153.86 ft^2

Step-by-step explanation:

First we need to find the radius

f = d/2 = 14/2 = 7

A = pi r^2

A = 3.14 ( 7)^2

A = 3.14 * 49

A =153.86 ft^2

Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?

Answers

Answer:

the 2nd one

Step-y-step explanation:

can you help me with these questions​

Answers

Answer:

Girls: 50

Boys: 36

A) 60°

Step-by-step explanation:

86-14=72

72÷2=36

Girls=36+14=50

Boys=36

115+115+70=300

360-300=60°

Answer:

36 boys and 50 girls

the remaining angle measures 60°

Step-by-step explanation:

x = boy count

x + 14 = girl

x + x + 14 = 86

2x + 14 = 86

2x = 72

x = 36

x + 14 = 50

36 boys and 50 girls

the 4 angles of a quadrilateral = 360°

115° + 115° + 70° + x = 360°

300 + x = 360°

x = 360 - 300

x = 60°

The remaining angle measures 60°

What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2

Answers

4x^2+4x+1-x-13= 4x^2+3x-12

4x^2+3x-12=3x^2-2x+2

X^2+5x-14=0

Then use quadratic equation to find the values of the 2 x and you will get,

x=2 and x=-7

Which functions have a range of ..

Answers

Answer:

Options (3) and (5)

Step-by-step explanation:

Option (1)

f(x) = x² + 7x - 2

     = x² + 2(3.5)x + (3.5)² - (3.5)² - 2

     = (x + 3.5)² - 14.25

Therefore, vertex of the graph → (-3.5, -14.25)

And the graph will open upwards.

Range of the function → [-14.25, ∞)

Option (2)

f(x) = -(x + 1)² - 4

Since, leading coefficient is negative, curve of the function will open downwards.

Vertex → (-1, -4)

Range of the function → [-4, -∞)

Option (3)

f(x) = -4x + 11

This function is defined for all real values of x.

Range of the function → (-∞, ∞)

Option (4)

f(x) = [tex]2^{x+3}[/tex]

Range of this exponential function → (0, ∞)

Option (5)

f(x) = [tex]\frac{2}{3}x-8[/tex]

Function is defined for all real values of x.

Range of the function will be (-∞, ∞)

Therefore, Options (3) and (5) are the correct options.

I need help with this question it’s due today!

Answers

Answer:

15

Step-by-step explanation:

4:5

4 x 3 = 12 girls

5 x 3 = 15 boys

12:15

Answer:

D. 15

Step-by-step explanation:

4:5

4/5×3/3=12/15

12/15.....12 girls, 15 boys

:) ur welcome

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other
of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm 7
• 7 cm and 2 cm

8 cm and 9 cm

Answers

3514 1404 393

Answer:

  (d)  8 cm and 9 cm

Step-by-step explanation:

The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...

  8 cm and 9 cm

Answer:

{D. 8cm & 9cm}

Step-by-step explanation:

#CARRYONLEARNING

In △FGH, L is the centroid. If LK = 19, find GL

Answers

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12

Answers

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Question 16
Use the rule for order of operations to simplify the expression as much as possible:
Question Help: Video
Submit Question
ps://www.myopenmath.com/asset
1721&ald-80137968

Answers

Answer:

16

Step-by-step explanation:

[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]

Multiplication and division are priority to addition and subtraction

Brainliest please

during a sale , a shop allows 20%
discount of the marked price of clothing . What will a costumer pay for a dress with a marked price of $30?​

Answers

Answer:

$24

Step-by-step explanation:

original price of a dress = $30

discount = 20%

discount amount = discount% of original price

=20/100 * 30

=30/5

=$6

price that consumer will pay after discount = $30 - $6

=$24

Step-by-step explanation:

6$

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Someone help me please & Thankyouu I appreciate it!

Answers

Answer:

The height is 10inches.

Step-by-step explanation:

[tex]A = \frac{1}{2}bh\\\\2A = 2 \times \frac{1}{2} bh \ \ \ \ \ \ \ [ \ multiply \ both \ sides by \ 2 ] \\\\2A = bh\\\\\frac{2A}{b} = \frac{bh}{b} \ \ \ \ \ \ \ \ [ \ dividng \ both \ sides \ by \ b ] \\\\\frac{2A}{b} = h[/tex]

[tex]\frac{2 \times 60 } {12} = h\\\\\frac{120}{12} = h\\\\10 = h[/tex]

Triangle NOP is similar to triangle QRS. Find the measure of side RS. Round your answer to the nearest tenth.

Answers

Answer:

22.1

Step-by-step explanation:

If the triangle is similar then the side lengths have common ratios

*Create ratio to solve for RS*

47.8/13 = RS/6

Now solve for RS

simplify

47/13 = 3.677

We now have 3.677 = RS/6

Multiply each side by 6

3.677 * 6 = 22.1

RS/6 * 6 = RS

we're left with RS = 22.1

simplify (csc x)^2 - 1

Answers

Answer:

Step-by-step explanation:

[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]

Answer the question in the picture

Answers

Answer:

10 ^3 * 10 ^2

1/ 10 ^5

10*10*10*10*10

Step-by-step explanation:

10 ^4^1 = 10 ^(4*1) = 10 ^4

10 ^3 * 10 ^2 = 10 ^(3+2) = 10 ^5

1/ 10 ^5 = 10 ^5

10 ^3^2 = 10 ^(3*2) = 10 ^6

10*10*10*10*10 =10 ^5

Name the vertex for this parabola. *
y = (x + 6)^2 + 15

Answers

The vertex would be (-6,15)

No files just type it in

Answers

( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

Lincoln is saving $360 to buy a new bike. He already has $85 and can earn $12 per hour at work. Which of the following equations describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?

Answers

Answer:

85 + 12w =360

Step-by-step explanation:

Please help me here in an algebraic maze that I hardly understand, please help me, my time is running out on a math test.

Answers

Answer:

??i never did this before

UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number​

Answers

Answer:

x = 15.8

Step-by-step explanation:

let the number be x

according to the question equation is

x*5 - 2 = 77

5x - 2 = 17

5x = 77 + 2

5x = 79

x = 79/5

x = 15.8

Answer:

5x - 2 = 77

x = 15.8

Step-by-step explanation:

a number - x

times 5 - 5x

minus 2 - 5x - 2

equals 77 - 5x - 2 = 77

77 + 2 = 79

79 ÷ 5 = 15.8

5(15.8) - 2 = 77

Could someone help, please?

Answers

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]

[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]

[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]

ST² = 10.2 × 14.3

ST = [tex]\sqrt{145.86}[/tex]

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

Identify the domain of the function shown in the graph.
O A X20
OBXSO
O c. xis all real numbers.
D-43XSO
Can someone please help me

Answers

Answer:

A x >= 0

Step-by-step explanation:

a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").

so, y = f(x)

and (x,y) are then usually the coordinates on the grid.

the domain is the range or interval of numbers the function is using (x) to create results (y).

so, look at the graph !

for what values of x do you see the functional line drawn ?

that means, the functional line goes along only what part of the x-axis ?

I see it starts at x=0 and then continues all the way to the right and clearly further.

for me that means f(x) calculates values for every positive x we can think of. and including 0.

it does not do anything for any negative x-values.

so, clearly answer A (x>=0) is right.

HELPPP URGENT!!!

The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer.
Your answer:

Answers

Answer:

-68ft, or 68ft below sea level

Step-by-step explanation:

-72+4=-68

Anyone know the answer? Please and thank you

Answers

Answer:

x = 9

Step-by-step explanation:

Given 2 secants from an external point to the circle , then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides

9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )

3x = 27 ( divide both sides by 3 )

x = 9

What is the surface area of the rectangular prism below?

Answers

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

A penny is dropped from the top of the chrysler building(320 m high). How fast is it moving when it hits the ground? (no troll)

Answers

Answer:

I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.

Other Questions
pls help! show your work!(3sqrt4)/(3sqrt5) For EASY BRAINLIEST!!! Answer 6. 7. 8. 9. !!Please help Im going to fail! XYZ Industries makes heavy construction equipment. The standard for a crane calls for 20 direct labor-hours at $24 per direct labor-hour. During a recent period 875 cranes were made. The labor efficiency variance was $1,200 Unfavorable. How many actual direct labor-hours were worked Point S is located at (9,-3). point T is located at (4,-3). What is the distance from S to point T? PLEASE HELP ME WITH THIS ONE QUESTION If Linda is at the store and can buy any two fruits (the store sells apples, oranges, pears, bananas, and kiwis), how many combinations of fruit can she choose?A) 25B) 3C) 10D) 15 What industry did not suffer during the Great Depression? O A. The banking industry B. The manufacturing industry O C. The movie industry D. The farming industry 1.can you identify the materials needed in making simple doorbell ???2.what is the use of each material or tool needed in making simple doorbell?????pakianswer po ng maayos HELP I NEED THIS FOR ENGLISH SO WHAT IS THAT LIKE GANG CALLED IN THE OUTSIDERS I THINK IT HAS TIGER IN IT LIKE TIGER STREET GANG OR SOMETHING I NEED TO KNOWWW according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used Im begging you too pls pls pls pls help! Id appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and Im just doing it today. Pls help thank you so so so much! Pls dont waste time thanks again! What materials do you need to draw realistics drawings. Please help. Will mark brainliest and no links Solve the equation below for x. cx - 4 = 7 Trevor heard a burglar entering through a living room window.He grinned as he picked up his gun. Crouching behind the sofa in his darkened home,he ambushed and killed the intruder with several well placed shots.He then added another notch in his trusty side-arm.Trevor most probably:____________ a. has exercised his constitutional right of self-defense. b. has acted legally,because the shooting took place inside his home. c. has acted legally if,but only if,the burglar was armed with a gun. d. is guilty of a homicide,or at least voluntary manslaughter. 21(2-y)+12y=44 find y If I spend 3/4 of themoney in my pocket and then 1/2 of what is left.What fraction of the sum remains?Please hurry ways to avoid cold war The following information was available for the year ended December 31, 2016Sales $260,000 Net income 38,340 Average total assets 560,000 Average total stockholders' equity 315,000 Dividends per share 1.23 Earnings per share 3.00 Market price per share at year-end 24.60Required: a. Calculate margin, turnover, and ROl for the year ended December 31, 2016.b. Calculate ROE for the year ended December 31, 2016. Which of the following is an example of logos?A. List of FactsB. An emotional narrativeC. A funny storyD. An insult to the reader what are objectives of gender based violence? What are the types of model risk