3x+-2y=-6
5x-2y=7
how do i solve this Elimination pls

Answers

Answer 1

Answer:

[tex]x=\frac{13}{2}, y=\frac{51}{4}[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}[/tex]

[tex]Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}[/tex]


Related Questions

A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (–4, 0) and (6, 0). The y-intercept of the first parabola is (0, –12). The y-intercept of the second parabola is (0, –24). What is the positive difference between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to the nearest tenth.

Answers

Answer:

.5

Step-by-step explanation:

Edge 2021

Answer:

It is indeed 0.5

Step-by-step explanation:

If you have this on edge, then it is correct.


Okay can you guys help me find which one is the variable. And like what it means for like example x could equal to distance in km

Answers

Answer:

a) 1000+0.05x ≥2200

b) x=24000

Step-by-step explanation:

a) So we know that Nadia for certain gets paid $1000 each month. That is a concrete amount that doesn't change, so the variable (x) would be placed on the 5% she earns from sales. We don't know how much she sells each month because it varies, so that will be represented by the X. Her goal is to raise NO LESS than $2200, which means the amount she earns from sales has to be greater than or equal to $2200.

b) From here just solve the equation for X:

You deposit $100 in an
account that pays an
annual rate of 4%. How
much is in the account
after 12 years?

Answers

Answer:

5669.39

Step-by-step explanation:

Determine the distance, in units, from (−4,−7) to (4,8).

Answers

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

HELP!! I can't fail. 4 and 5 please!

Answers

Answer:

4) x = -3 or 8

Step-by-step explanation:

We factories each algebraic expression

4) x² -5x - 24 = 0

x² - 8x + 3x - 24 = 0

(x² - 8x) + (3x - 24) = 0

x(x - 8) + 3(x - 8) = 0

(x + 3)(x - 8) = 0

x + 3 = 0, x = -3

x - 8 = 0, x = 8

x = -3 or 8

HeLp! the question is on the picture.

Answers

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

For the following right triangle, find the length x

Answers

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

https://www.symbolab.com/solver/radical-equation-calculator/sin45%3D%5Cfrac%7B5%7D%7Bx%7D

Find the distance between the two points rounding to the nearest tenth (In decimal).​

Answers

Answer:

approximately 8.9

Step-by-step explanation:

Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle.  The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.  

Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points.  This length is the distance between the two points:

d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9

our points are labeled on the number line.



Which point represents the value of ∣−12∣?

Answers

438467385378732452386236532168498329

Answer:

If the point is on positive 12 its that answer

Step-by-step explanation:

Number 10 please help 10 points no links pleAse

Answers

Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

The answer would be (8,14)

Carla and Marci are having a competition to see who can learn finish typing their research first. Carla already has 2 pages finished and can type 2 pages per hour. Marci has just started typing and can type 3 pages per hour. After how many hours will Carla and Marci have typed the same amount?

Answers

Answer:

The answer is 2 hours, if that i wrong then put in 3 hours.

Step-by-step explanation:

You could juat write out a chart for every number, so 2+0, 4+3, 6+6, so two hours.

Answer:

After 2 hours

Step-by-step explanation:

Let the time is x.

Carla will type:

2x + 2

Marci will type:

3x

Since they will have typed the same number:

3x = 2x + 23x - 2x = 2x = 2 hours

Which function is graphed ?

Answers

Answer:

its b :) then can i help you

Charlie has more than 50 game coins Charlie has 8 more than 3 times as game coins as Steven if x represents the number of game coins Steven has which inequality can be used to determine the possible number of game coins Steven has

Answers

Answer: [tex]x>14[/tex]

Step-by-step explanation:

Given

Charlie has more than 50 game coins

Steven has [tex]x[/tex] coins

So, according to the question, charlie has 8 more than 3 times the steven coins i.e.

[tex]\Rightarrow 3x+8[/tex]

Also, this must be greater than 50

[tex]\therefore 3x+8>50\\\Rightarrow 3x>42\\\Rightarrow x>14[/tex]

What is the area of these

Answers

Answer:

1. 32 2. 22

Step-by-step explanation:

Count the squares, if there are half a squares it is .5 added to the total.

Is -2.2, -1.1, 0.1, 1.3,... an arthmetic sequence

Answers

Answer:

answer is no

Step-by-step explanation:

People r so annoying. Delete my answer bc no step by step¿

Fine. In order o make this an arithmetic sequence, the difference between each number should be the same. It’s not same in this sequence

What is the coordinate of the midpoint of (2, 1) and (18, 7)?

Answers

Answer:

The midpoint is (10, 4)

Step-by-step explanation:

To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.

2 + 18 = 20

20 / 2 = 10

1 + 7 = 8

8 / 2 = 4

(10, 4)

Hope this helps!

Answer:(10,4)

Step-by-step explanation:

Mp(x,y)=(2+18/2,1+7/2)=(10,4)

What is the GCF of 12,18, 24

Answers

Answer:

6

Step-by-step explanation:

12/2=6

18/3=6

24/4=6

Find the value of sin^-1(4pi/5)

Answers

Answer:

No value because 4π/5 exceeds the domain

Step-by-step explanation:

The domain and range of sin^-1(x) is a domain of [-1,1] and a range of [-π/2,π/2]

Since 4π/5>1, this exceeds the domain and therefore has no value.

Can someone plz help me with the first one also it will be appreciated if u could show working out too!

Answers

Answer:

Angles in a quadrilateral add up to 360°.

[tex]90 + 3x + x + 20 + 2x + 10 = 360\\ 90 + 20 + 10 + 3x + x + 2x = 330\\ 120 + 6x = 360 \\ 6x = 360 - 120 \\ 6x = 240 \\ x = \frac{240}{6} \\ x = 40[/tex]

[tex]3x = 3 \times 40 = 120 \\ [/tex]

[tex]x + 20 = 40 + 20 = 60[/tex]

[tex]2x + 10 = 2 \times 40 + 10 = 80 + 10 = 90[/tex]

Difference between largest & smallest angles =

[tex]120 - 60 \\ = 60[/tex]

60 is the difference the largest & the smallest angle.

Find the measure of the missing angles.

PLEASE HELP !

Answers

Answer:

B and C are both 92 degrees :)

Step-by-step explanation:

180-88 is 92 and C and B are vertical angles so they would both be 92 degrees.

Mr. Gurney purchased 3 dozen
eggs for $5.73. How much would it
cost to buy 5 dozen eggs?


Please tell me how to solve this and the answer :)

Answers

If mr Gurney purchased 5 dozen eggs it would be 9.55

Please help and please dont send a link of the answer to a website :)

Answers

Answer:

well we know that top and botton are 12 and the sides are 5. there are 4 sides soo thats 4 times 5. so basically its 12x12x5x5x5x5 whick is 90000.

Step-by-step explanation:

sorry for the wait!

hope this helps!

please mark brainliest!

have a good day!

:) ;)

(if this is wrong im so sorry, i tried .;(

Please help I’ll make you the brainiest

Answers

Answer:

A profit is made when X>4, or after 4 thousand units.

Step-by-step explanation:

For starters the question states that for a profit to be made P(x) has to be greater than 0, and if you solve P(x) to equal 0 you get 4. Anything after 4 thousand would net the company a profit. You can also graph the equation and the x intercept, or 4 is also answer.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

12:32

Step-by-step explanation:

there are twelve triangles n-32 total shapes

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
1/8. There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

There are 7 red marbles

Step-by-step explanation:

1/8=x/56

x= 56/8

x= 7

Mr. Sweeney's car can travel 195 miles on 10 gallons of gas. How far
can Mr. Sweeney travel if he buys 18 gallons of gas?
I

Answers

Answer:

Miles in 10 gallons = 195

Miles in 1 gallon = 195/10 = 19.5

Miles in 18 gallons = 19.5 × 18 = 351 miles.

Answer:

Miles travelled by the car on 10 gallons of gas = 195 miles

Miles travelled by the car in 1 gallon of gas = 195 ÷ 10 = 19.5 miles

Miles travelled by the car in 18 gallons of gas = 19.5 × 18 = 351 miles.

Pls answer fast and no bs links or I’ll report

Answers

Answer:

Step-by-step explanation:

a c e

For how many minutes of calls with the cost of the two plans be equal?

Answers

Answer:

Let x = the number of minutes of calls

For Plan 1, we know that the monthly charge is 8 + 0.18x

For Plan 2, the monthly charge is 23 + 0.14x

To determine when the cost of the two plans will be equal, we set up the following equation:

8 + 0.18x = 23 + 0.14x

Can you solve for x, Alyssa?

Step-by-step explanation:

please find the sum of difference of (-12) + (-38)

will give brainliest

Answers

-50
Signs are same , you need to add them

Find the mean of the given data.
3, 4, 5, 7, 10, 12, 15

Answers

Answer:

mean: 8

Step-by-step explanation:

Find the sum of all of the numbers:

3+4+5+7+10+12+15=56

Divide the sum by the quantity of numbers in the set:

56/7=8

Answer:

The mean= 8

Acellus sux

Step-by-step explanation:

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