SOLVING EACH SYSTEM BY ELIMINATION


x+3y=5 x=-6y+14


HELP

Answers

Answer 1

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-4,\:y=3[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+3y=5;\:x=-6y+14[/tex]

solving by elimination method

[tex]\begin{bmatrix}x+3y=5\\ x=-6y+14\end{bmatrix}[/tex]

[tex]\mathrm{Arrange\:equation\:variables\:for\:elimination}[/tex]

[tex]\begin{bmatrix}x+3y=5\\ x+6y=14\end{bmatrix}[/tex]

[tex]x+6y=14[/tex]

[tex]-[/tex]

[tex]\underline{x+3y=5}[/tex]

[tex]3y=9[/tex]

[tex]\begin{bmatrix}x+3y=5\\ 3y=9\end{bmatrix}[/tex]

solve [tex]3y=9[/tex] for [tex]y[/tex]:

[tex]3y=9[/tex]

[tex]\frac{3y}{3}=\frac{9}{3}[/tex]

[tex]y=3[/tex]

[tex]\mathrm{For\:}x+3y=5\mathrm{\:plug\:in\:}y=3[/tex]

Solve [tex]x+3\cdot \:3=5[/tex] for x:

[tex]x+3\cdot \:3=5[/tex]

[tex]x+9=5[/tex]

[tex]x=-4[/tex]

Therefore,

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-4,\:y=3[/tex]


Related Questions

Please I need help with #2

Answers

It’s a blank screen attached ...

The general form of an parabola is 4y2+40y+3x+103=0. What is the standard form of the parabola?

Answers

9514 1404 393

Answer:

  x = -4/3y² -40/3y -103/3

  x = -4/3(y +5)² -1

Step-by-step explanation:

Solve for x.

  x = (4y² +40y +103)/(-3)

  x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

  x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

_____

* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

  x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

Answer:

The answer is [tex](y+5)^{2} =-\frac{3}{4} (x+1)[/tex]

Step-by-step explanation:

I actually don't know the step by steps myself, so I just searched on

Find the missing length indicated.
Find SR

A. 8
B. 12
C. 7
D. 6

Answers

Answer:

D.6

Step-by-step explanation:

Two competing sports equipment suppliers sell footballs at different prices. Supplier A charges $85 in shipping, and charges $2.59 per football. Supplier B charges $50 shipped, and charges $4.29 per football. A school wants to buy 40 balls.
What is the equation for supplier A? Answer:

What is the equation for supplier B? Answer:

Which supplier has the lowest average cost per ball? Answer:

Answers

Supplier A: $188.6
Supplier B: $221.6

I hope I helped but I honestly have no idea if I did. Anyway sorry if I didn't. Good luck.

The equation for supplier A and supplier B will be y = 2.59x + 85 and y = 4.29x + 50, respectively. Supplier A has the lowest average cost per ball.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Footballs are sold at varying prices by two rival sports equipment vendors. Supplier A costs $85 for shipping and $2.59 for each football. Supplier B costs $50 for shipping and $4.29 per football. A school wants to purchase 40 balls.

Let x be the number of the football and y be the total cost.


The equation for supplier A will be given as,

y = 2.59x + 85

At x = 40, the value of 'y' is given as,

y = 2.59 × 40 + 85

y = $188.6


The equation for supplier B will be given as,

y = 4.29x + 50

At x = 40, the value of 'y' is given as,

y = 4.29 × 40 + 50

y = $221.6

Supplier A has the lowest average cost per ball.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

what is 2(3x – 4) = 8x – 4 – 2x.

Answers

Answer:

no solution

Step-by-step explanation:

2(3x - 4) = 8x - 4 - 2x

combine like terms

6x - 8 = 6x - 4

0 = 4

ANSWER THIS QUESTION IF YOUR GOOD AT MATH ↓

Answers

Answer:

It's C, g(x) = (1/2)^x

This is a horizontal reflection of y = 2^x

across the y axis.

Step-by-step explanation:

Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.

The transformations of a standard exponential function can be given by:

ab^(1/c(x-h))+k

First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.

How many days will it take a wild horse to travel 2,700 miles if the horse travels 30 miles a day?

Answers

Answer:

The Answer is 90

Step-by-step explanation:

30 X 9 = 2,700

10 + 2a = - 18 please give an explanation as that's all I'm really looking for :)

Answers

Answer:

a=-14

Step-by-step explanation:

10+2a=-18

subtract 10 from 10 and -18

2a = -28

then devid by 2 from 2 and -28

a=-14

Diego has written a feature story about a drumming circle. What should he include in his visual presentation to interest the audience in the drumming experience? (3 points)

A lecture from one of the drummers
A podcast of a drumming session
A slideshow with a bulleted list about the benefits of drumming
A video of a drumming session

Answers

Answer:

A video of a drumming session.

Answer:

D. A video of a drumming session

Explanation:

A presentation can be defined as an act of talking or speaking formally to an audience in order to explain an idea, piece of work, project, and product with the aid of multimedia resources or samples.

Basically, any speaker who wishes to create an effective presentation should endeavor to interact frequently with the audience by holding a conversation and using a multimedia resource.

In this scenario, Diego has written a feature story about a drumming circle. Thus, what he should include in his visual presentation to interest the audience in the drumming experience is a video of a drumming session.

Generally, they say action speaks louder than words, and people often believe what they can see.

If the distance from 0 to x on a number line is equal to 5 then -5+ X equals 0.

Answers

it is equal to zero

Step-by-step explanation:

because in number line there are positive and negative sides

Please help!!! I don’t understand it at all and I need it ASAP!

Answers

9514 1404 393

Answer:

  [tex]\textbf{D.}\quad g(x)=\sqrt{x+6}+4[/tex]

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

  g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

__

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

  f(x) = √x

  g(x) = f(x+6) +4

  g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for right 6 units, so h=-6 for left 6 units. Then x-h = x-(-6) = x+6.

__

Comment on the graph

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).


- Write an equation of the line that passes through (2, -1) and (-3, 3).

Answers

9514 1404 393

Answer:

  y = -4/5x +3/5

Step-by-step explanation:

The 2-point form of the equation for a line can be useful.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (3 -(-1))/(-3 -2)(x -2) -1

  y = 4/(-5)(x -2) -1

  y = -4/5x +8/5 -1

  y = -4/5x +3/5

The number of calories in Swiss cheese varies directly with the weight of the cheese. There are about 200 calories in 50 grams of Swiss cheese. Willie ate 70
grams of Swiss cheese. About how many calories did he eat?

Answers

Answer:

He ate about 4.6 of cheese

Step-by-step explanation:

Answer:

280 calories

Step-by-step explanation:

let's make a proportion: 50/70 = 200/x

cross multiply: 50 * x = 70 * 200

multiply: 50x = 14000

divide each side by 50: x = 280

answer is 280 calories

I hope this helped, please mark Brainliest, thank you!! :)

Write the slope intercept form of the equation of the line that passes through the points (0, 3) and (1, −3)

Answers

Answer:

The slope is 6-1

Step-by-step explanation:

the y intercept is 3

Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?

Answers

Answer:

6 miles in 1 hour

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

36 ÷ 6 = 6

My problem went from 10a = 50 to 10a / 10 = 50 / 10. What step is this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{10a}{10}[/tex] = [tex]\frac{50}{10}[/tex] ( Division property of equality )

or

10a × [tex]\frac{1}{10}[/tex] = 50 × [tex]\frac{1}{10}[/tex] ( Multiplication property of equality )

(It depends of the options you have in the answer choices)

PLEASE HELP! THANKS!!

Answers

X=12 because I said so and I’m smart

Hii please answer really easy xx

Answers

Answer:

Step-by-step explanation:

find only for x or?

PLEASE HELP PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2x^3+x^2-8x-4

(2x+1)(x+2)(x-2)

HELP PLEASE. Will mark brainiest

Find the common difference of the sequence shown.
1/6, 1/3, 1/2, 2/3

Answer choices
1.) 1/12

2.) 1/6

3.) 1/3

Answers

Answer:

+ 1/6

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRIANLEIST

Answer:

1/6

Step-by-step explanation:

What is y=2/3x-5 in standard form?

Answers

9514 1404 393

Answer:

  2x -3y = 15

Step-by-step explanation:

Add 5-y to put the variables on the same side of the equal sign. Then multiply by 3 to clear the fraction.

  5 = 2/3x -y

  15 = 2x -3y

  2x -3y = 15 . . . . standard form

someone please help me:/

Answers

Answer: P

Step-by-step explanation:

Answer:

Q

Step-by-step explanation:

The sqrt of 8 is 2.82842712475 and Q is the closest to that.

Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. What is the total amount she earned over these three days? $ Day Item Price 1 Sofa Chair $350 N Loveseat $500 3 Couch $1,200​

Answers

Answer:

Step-by-step explanation:

46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08

ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08

Answer: 614

Step-by-step explanation:

because i did it on edge 2020

Match the values with the equivalent percentages.

Answers

20% of 50 = 10 , 45% of 200 is 90. 35, 2 4.5

whats the circumference of a circle if the radius is 1.5 show your work

Answers

Answer:

Step-by-step explanation:

C=2πr

C=2×π×(1.5)

C=3π

But=22/7

Therefore C=3×22/7

C=9.43

PLEASE HELP ME!! THANK YOU!!

Answers

I think it’s 4,6,8,10
The Same Answer so when it is^

geometry triangles plz helpp

Answers

Okay for every triangle, the degrees have to add up to 180 degrees. For example, the triangle that has c,h and 92 degrees, have to add up to 180, which means you can subtract 92 from and 180 and you’ll get 88, and since you need to find out both C and H you can divide 88 by 2 and you’ll get 44, which therefore C and H equal 44! Now try to solve the rest!


Joshua rented a movie for $4.49 from Cinema Rentals. If the movie is not returned on the due date, Cinema Rentals charges an
additional $2.25 a day until the movie is returned. If Joshua returns the movie x days after its due date, which of the following
functions represents the total cost, R(x), he paid for the movie rental?

Answers

Answer:

R(x) = 2.25x + 4.49

Step-by-step explanation:

Equation form: R(x) = mx + b

m: represents the additional amount Joshua is charged for every day until he returns the movie, which in this case is $2.25. So, the value of m is 2.25.

b: represents the initial cost of renting the movie. Joshua rented the movie for $4.49, so b is 4.49.

Since we know the value of m and b, we can write the equation:

R(x) = 2.25x + 4.49

Is there a series of rigid transformations that could map TriangleKLP to TriangleQNM? If so, which transformations? No, TriangleKLP and TriangleQNM are congruent but TriangleKLP cannot be mapped to TriangleQNM using a series rigid transformations. No, TriangleKLP and TriangleQNM are not con gruent. Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M. Yes, TriangleKLP can be rotated about P and then translated so that L is mapped to N.

Answers

Answer:

C. Yes, Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

Step-by-step explanation:

2020 EXAM

Answer: C

Step-by-step explanation:

Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M.

In the fraction 7/8 , the Numerator Denominator is 7.

Answers

There are many equivalent fractions to

7

8

;

here are a few:

14

16

,

21

24

,

49

56

,

28

32

Explanation:

7

8

is the simplest of the equivalent fractions.

Did you (perhaps) intend to ask for the equivalent decimal fraction of

7

8

In this case

7

8

=

7

×

125

8

×

125

=

875

1000

=

0.875

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