Solve the following system of equations:

2x + 4y = 18

-3x + 2 = y

A.(-1, 4)

B.(1, 4)

C.(-1, 5)

D.(1, -1)

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

Given the following question:

[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]

To find the answer we need to find the values of each of the variables by solving one equation at a time, and then substitute those answers into each equation in till we have our answers.

[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
[tex]y-y=0[/tex]
[tex]-3x+2+ -y=0[/tex]
[tex]2-2=0[/tex]
[tex]-3x+-y=0+-2[/tex]
[tex]-3x+3x=0[/tex]
[tex]-y=3x-2[/tex]
[tex]-y\div-1=y[/tex]
[tex]3x+2\div-1=-3x+2[/tex]
[tex]y=-3x+2[/tex]

Substitute y for -3x + 2:
[tex]2x+4y=18[/tex]
[tex]y=-3x+2[/tex]
[tex]2x+4(-3x+2)=18[/tex]
[tex]2x+4(-3x+2)=18=-10x+8=18[/tex]
[tex]-10x+8=18[/tex]
[tex]8-8=0[/tex]
[tex]18-8=10[/tex]
[tex]-10x=10[/tex]
[tex]-10x\div10=x[/tex]
[tex]10\div-10=-1[/tex]
[tex]x=-1[/tex]

Substitute x for -1:
[tex]y=-3x+2[/tex]
[tex]x=-1[/tex]
[tex]y=-3(-1)+2[/tex]
[tex]-3\times-1=3[/tex]
[tex]y=3+2[/tex]
[tex]3+2=5[/tex]
[tex]y=5[/tex]

[tex]x=-1[/tex]
[tex]y=5[/tex]

Your answer is "(-1, 5)" or option C.

Hope this helps.


Related Questions

Translate this sentence into an equation.
The product of 2 and Gail's height is 38.
Use the variable g to represent Gail's height.

Answers

Answer:

2 × g = 38

Step-by-step explanation:

A product refers to multiplication.

Hope this helps~! Brainliest is appreciated!

Which of the following will result in a rational number? Select all that apply.
A. 645+9√4
B. 645−5√7
C. 645×9√4
D. 645÷5√7

Answers

Answer is A I just did this

Equivalent systems of two linear equations______
have the same solutions
A. always
B. sometimes
C. never

Answers

Answer:

B

Step-by-step explanation:

Its B i took the quiz and got it right so hope this helps u

Answer: A

I hope this helps you!

The circle below represents one whole

What percent is represented the shaded area

Answers

Answer:

50%

Step-by-step explanation:

Imagine a pizza, the pizza is cut into 4 slices and 2 have already been eaten. There you go! You now have the fraction 2/4. 2/4=1/2. 1/2 as a percentage is 50%.

A segment has one endpoint at the origin O and the other endpoint at A(12,36). If point B is located on OA such that OA/BA=3 then which of the following are the coordinates of B?
(1) (4,12) (2) (9,27) (3) (8,24) (4) (36,108)

Answers

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

How to find the coordinates of point B?

We know that:

O = (0, 0)A = (12, 36).

And point B is between these two, such that:

OA/BA = 3

Meaning, OA is 3 times BA.

Now, if we apply a factor of 1/3 to point A, we get:

(12/3, 36/3) = (4, 12)

So, the distance between A and B is equal to the distance between the origin and (4, 12) (a change of 4 units in the x-component and 12 units in the y-component).

The point that meets that condition is (8, 24), which is given by multiplying by 2 the previous coordinates.

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

If you want to learn more about distance, you can read:

https://brainly.com/question/7243416

Can you help me?????????????????

Answers

Answer:  #1.  104 % increase  #2. 15%   #3. 1%increase  #4 150%  .......

if you want the rest just tell me kk

Step-by-step explanation:

you have to minus each number like for example  92 and 45   and divide what ever  you got from 92 and 45 and its 47 so divide 47 from 45 and youll get 104 but have to round.

Please answer, I desperately need your help! There's a great reward in store if you prove yourself to be of assistance!

Answers

Answer:

4

Step-by-step explanation:

SIKE HEHEHEHEHEHEHEHEHEHEHE

its 5 dummy

Final Question: What is the measure of x?
Angles are not necessarily drawn to scale.

Answers

Answer:

[tex]x=114[/tex]

Step-by-step explanation:

Since we know that a straight line is 180°, and we know that one of the angles is 66°, we can write a simple equation to figure this out: [tex]x+66=180[/tex] Then, to solve the equation all you would need to do is subtract [tex]66[/tex] from both sides to get [tex]x=114[/tex].

help me ..............................

Answers

Answer:

what you have is correct the last answer is 14. You just have to do 4 x 3.5 = 14

Find the 35th term of the sequence

Answers

Answer:

3552

Step-by-step explanation:

So, basically, you use the formula and plugin 37, the number of terms, into n.

So:

96(37)

96(37) = 3552

Hope this helps!

Please mark brainliest.

Select the choice that follows the correct sequence of steps in solving this inequality. 6x + 23 > -2x + 7

Answers

Answer:

x>2

Step-by-step explanation:

6x+23>-2x+76x+2x>7-238x>16 divide 8 both sidex>2aswer.

Identify the Greatest Common Factor of 7x^4y^2 - 12x^3y^3. (1 point)
12x^4y^3
O 3x³y²
O x²y²
7x^4y^3

Answers

he greatest common factor of 7x^4y^2 - 12x^3y^3 is the greatest number that can divided both terms of the expression

The greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2

How to identify the greatest common factor

The expression is given as:

7x^4y^2 - 12x^3y^3

Factor out x^3

x^3(7xy^2 - 12y^3)

Factor out y^2

x^3y^2(7x - 12y)

The first factor of the expression represents the greatest common factor of 7x^4y^2 - 12x^3y^3

Hence, the greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2

Read more about greatest common factors at:

https://brainly.com/question/723406

which expression is equivalent to (r-⁷)⁶?​

Answers

answer: the expression that is equivalent to that is 42

Write the first five terms in the sequence.

NEXT = NOW + 13, starting at –84

Answers

Answer:

-84, -71, -58, -45, -32, -19

Step-by-step explanation:

n the card game The Dragons of Castlenook, players score points based on the cards they have at the end of the game. Before playing, Reagan randomly selects 13 cards from the 80-card deck and gets 5 dragons, 1 cyclops, 4 ogres, and 3 centaurs. Based on the data, estimate how many ogre cards are in the deck.

Answers

Using proportions, it is found that the estimate of the number of ogre cards in the deck is of 24.6.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 13 cards, 4 are ogres. How many are ogres out of 80? The rule of three is given by:

13 cards - 4 ogres.

80 cards - x ogres.

Applying cross multiplication:

13x = 320.

x = 320/13

x = 24.6.

The estimate of the number of ogre cards in the deck is of 24.6.

More can be learned about proportions at https://brainly.com/question/24372153

Alexis downloaded two apps which were 10.01 kb total. If one app was 5.21 kb, how big was the other app?​

Answers

Answer:

4.8

Step-by-step explanation:

Other app= 10.01 - 5.21 = 4.8

The answer is 4.8kb

Hope this helps :)

Have a nice day!

How do you find the length of AC? Picture below

Answers

Answer:

12cm

Step-by-step explanation:

this is a right angle triangle

so taking 'b' as base, 'a' as perpendicular and 'c' is hypotenuse which is equal to 13cm

and 1 angle is given which 22.6 degrees

and we need to find out 'b' which is AC

so we have

sin(x)= perpendicular/hypotenuse

cos(x)= base/hypotenuse

tan(x)=perpendicular/base

cos(22.6) = base/hypotenuse=13

cos(22.6)*13 = base

0.9232*13 = base

base = 12cm

100 POINTS
Find the amount of the discount on a $230 bicycle that is on sale for 35% off.

A. $35.00
B. $80.50
C.$ 4.26
D. $23.50

Answers

Answer:

The answer is B. $80.50

Step-by-step explanation:

I got it right on my quiz ;)

Answer:

B

Step-by-step explanation:

0.35*230 = 80.50

100x100
here's sum points have a nice life

Answers

Answer:

10,000. Thanks!

Step-by-step explanation:

Can the sides of a triangle have lengths 7.6, 2.5, and 2.2?

Answers

Answer:

No.

Step-by-step explanation:

Given the following question:

[tex]7.6, 2.5, 2.2[/tex]

In order for any given sides to form a triangle it has to pass the triangle inequality theorem, which is the sum of any two given sides of the triangle has to be greater than the third side in order for it to be a triangle.

In this case...
[tex]7.6, 2.5, 2.2[/tex]
[tex]7.6 + 2.5 = 10.1[/tex]
[tex]10.1 > 2.2[/tex]

[tex]2.5+2.2=4.7[/tex]
[tex]4.7 < 7.6[/tex]

[tex]7.6 +2.2=9.8[/tex]
[tex]9.8 > 7.8[/tex]

Therefore, your answer is "no" the following sides do not form a triangle.

Hope this helps.

Given that RM = 4x + 3 and MS = 6x - 12 What Is RS?
6x - 12

Answers

Answer:  10x - 9

Step-by-step explanation:

1. RM = 4x+3,  MS = 6x - 12             Given

2. RM + MS = RS                              Segment Addition Property

3. (4x+3) + (6x-12) = RS                    Substitution

4. 10x - 9 = RS                                  Add like terms

i need help with this....8th grade math!​

Answers

Answer:

A)

Step-by-step explanation:

volume of old box is 8·3·11 which is 264 cubic inches

volume of new box is 10·10·3 which is 300 cubic inches

Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.51.51, point, 5 hours, she had 402402402 out of the total 480480480 pages left to read.
Let yyy represent the number of pages left to read after xxx hours.
Complete the equation for the relationship between the number of pages left and number of hours.

Answers

Answer:

33

got it right no egd ngknggingwekvnskne

What is the relationship between the lines with the following equations?
2x+6y=12
y=3x−8
A) The lines are neither parallel nor perpendicular.
B) The lines are the same.
C) The lines are parallel.
D) The lines are perpendicular.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because if you work the equations out the one m= - 1/3 and the other m=3

help please i am struggling

Answers

Answer:

your x point is 2

Then, to help you for y=2x just make a table of values

So for y=2(1) y=2, y=2(2) y=4, y= 2(3) y=6

So theres 3 points to start which gives you a hint that each point goes up two times. (0,0) (1,2) (2,4) (3,6)

From the picture attached you can the y intercept is (2,4)

Determine whether the lines are parallel, intersect, or coincide.

Answers

Answer:

They intersect :)

Step-by-step explanation:

Hope this helps!

what is the length of the hypotenuse? If necessary, round to the nearest tenth

Answers

Answer:

Please post the question! or at least the lengths of the triangle, so that I can help you!

Step-by-step explanation:

3/4 cup juice per 2/3 cup sugar, find cups juice per cup sugar

Answers

Answer:

9/8

Step-by-step explanation:

divide 3/4 by 2/3

use the KCF method

so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2

now multiply across: 3/4 × 3/2=9/8

What is additive inverse and absolute value . Explain with an example .

Give me a great awesome answer so that I can mark u as brainliest

Answers

Answer:

Absolute value represents the distance from zero when graphed on a number line. For example, the number 7 is 7 units away from zero. ... A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.

Step-by-step explanation:

HOPE IT HELPS . JENITA , PLS MARK AS BRAINLIEST

A store sells two brands of applesauce.
Which brand provides more servings?
brand A: 24 1/2 ounces 2/3 cup per serving
brand B: 30 2/3 ounces 3/4 cup per serving
Alternative text
A.
Brand A because it provides 4 19/32 servings.
B.
Brand A because it provides 16 1/3 servings.
C.
Brand B because it provides 5 1/9 servings.
D.
Brand B because it provides 23 servings.

Answers

This problem is a dog of a bear because of the units.

It tells us how many ounces are in a jar, but how many cups are in a serving.

So in order to figure out how many servings are in a jar, we have to either change the jar from ounces to cups, or else change the serving from cups to ounces.

And of course, in order to do either of those things, we need to know how many ounces make 1 cup !  Hint:  1 cup = 8 ounces .

AND PLUS trying to work with all the fractions is gonna be ridiculous too.

Jar-A: (24 1/2 ounces) / (8 ounces/cup)  =  3 1/16 cups

How many servings is that ?

(3 1/16 cups) / (2/3 cup/serving) = 4 19/32 servings

Jar-B:  (30 2/3 ounces) / (8 ounces/cup)  =  3 5/6 cups  

How many servings is that ?

(3 5/6 cups) / (3/4 cup/serving)  =  5 1/9 servings

(5 1/9) is more than (4 19/32).  So Jar-B provides more servings than Jar-A.

Choice - C

Note:  Both brands are great for people who are on a diet, because they have to work off so many calories working out the stupid fractions, and it takes so long that they never get around to eating the applesauce.

Answer:

ar-B provides more servings than Jar-A. Choice - C

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