Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?

Answers

Answer 1

Answer:

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2    (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2)  =  -12x - 4y = -8

                        +  2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2


Related Questions

Pam went to the fair. She went on the same 6 times and used the same number of tickets each time. She used 18 tickets. How many tickets did she use each time she went on the ride?

Answers

Answer:

3 tickets

Step-by-step explanation:

If you did 18/6 it would cost 3 tickets each time on the ride.

18÷6=3 tickets

select all the expressions equivalent to 5x + 6x + 3x : 11x + 3x, 14x + x, 2 (3x + 4x), 3x(2 + 1) + 5x, 5x + 3(2x + x)

Answers

Step-by-step explanation:

5x + 6x + 3x

= 14x.

Now we compare the expressions with the result:

11x + 3x = 14x. (correct)

14x + x = 15x. (incorrect)

2(3x + 4x) = 2(7x) = 14x. (correct)

3x(2 + 1) + 5x = 3x(3) + 5x = 9x + 5x = 14x. (correct)

5x + 3(2x + x) = 5x + 3(3x) = 5x + 9x = 14x. (correct)

Hence our answers are the 1st, 3rd, 4th and 5th.

3) A skier traveled downhill at a rate of 12 feet per second. If he started at an elevation of 1,200 feet, what is his elevation after one minute?​

Answers

Answer:

480

Step-by-step explanation:

12 x 60 = 720

1200 - 720 = 480

Answer: 1,920

Step-by-step explanation:

12ft per second, so to find out his elevation after one minute you would have to convert from seconds to minutes. (60 sec = 1 min). So you would do 12*60 to get 720. And since he already started at 1,200 feet, you add 720. So 1,200+720 = 1,920 ft.

If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.​

Answers

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

m=-18...................

It takes servers in a restaurant 18 minutes to clear and set 9 tables.
At this rate, how long will it take them to clear and set 20 tables

Answers

Answer:

40 minutes

Step-by-step explanation:

To find it taes to clear and set one table divide time by the amount of tables. 18/9=2. It takes 2 minutes per table. To find the answer for 20 tables, you have to multiply 20 by 2. It takes 40 minutes to set and clear 20 tables.

Brady has a card collection with 32 basketball cards, 24 football cards, and 40 baseball cards. He wants to
arrange the cards in equal piles, with only one type of card In each plle.
How many cards can he put in each plle? Select all that apply.

Answers

Answer:

he can make 8 piles before he runs out and has 2 cards leftover

Step-by-step explanation:

write a real word problem that you could represent 3+ x =10

Answers

A real world problem that you could represent 3+x=10

i did it

now give brainliest

Find the simple interest if you invest $568 at 16% for 8 months.

Answers

Ello! The answer is $60.59, because if you do

568x 0.16x 0.666667 = 60.58669696

Now, you obviously can’t type out all those numbers so you simplify which gets you 60.59!


I hope this helps you! :)

On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games?
2 and one-half minus 32
2 and one-half x + 32
3 and one-half x minus 32
3 and one-half x + 32

Answers

Answer:

I assuume it is C, hope this works?

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

I

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT

Answers

Answer:

?

Step-by-step explanation:

Troy wants to ride his bicycle 35 miles this week. He has already ridden 11
miles. If he rides for 3 more days, write and solve an equation which can be
used to determine m, the average number of miles he would have to ride EACH
DAY to reach his goal.

Answers

Answer:y=35x+11

Step-by-step explanation:y=Mx+b

heeeeeeelpppppppppppp

Answers

Answer:

$128

Step-by-step explanation:

PLSSS HELPPPPPP :(((((

Answers

Answer:

Step-by-step explanation:

y+11<30

subtract 11 from both sides

y+11-11<30-11

y< 19

choice A

Step-by-step explanation:

y + 11 < 30       Original inequality

y + 11 - 11 < 30 - 11    Isolating the variable

y < 19                The answer / Simplification

The answer is A, I hope this helps!!!

Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?​

Answers

Answer: B.) 8 Puzzles and 840 pieces

HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --

Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/3 an ounce per second.

Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.

1) Graph this situation on
2) What does the graph tell you about the situation and how many solutions there are?

Answers

Answer:

See below.

Step-by-step explanation:

Create a system of equations to represent this scenario.

Lin: 12 - 1/3x = yDiego: 20 - 2/3x = y  

1) A graph of these equations is attached below. Lin is in red; Diego is in blue.

2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.

There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.

The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.

Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).

What is this answer?

Answers

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

I need help please with this equation:

Answers

Answer:

y=-3x+2

Step-by-step explanation:

From stations A and B, the distance between which is 910 mi,
two trains left simultaneously moving towards each other. The
speed of one train was 10 mph greater than the speed of the
other one. In 5 hours the trains met. Find the speed of each train.

Answers

Answer:

The slowest train goes at 86 mph and the fastest train goes at 96 mph.

Step-by-step explanation:

Distance and Speed

Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.

The distance is calculated as:

d = vt

Where v is the speed and t is the time.

The distance traveled by each train in 5 hours is:

Slowest: 5x

Fastest: 5(x+10)

The sum of both distances is 910 miles:

5x + 5(x + 10) = 910

Operating:

5x + 5x + 50 = 910

10x = 910 - 50 = 860

x = 860/10

x = 86

The slowest train goes at 86 mph and the fastest train goes at 96 mph.

Right answer gets brainlist

Answers

Answer:

there ain't nun to answer here

Step-by-step explanation:

I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?

Answers

Answer:

80 i think

Step-by-step explanation:

32.3=80

Step-by-step explanation:

Amount of money saved : spent = 2 : 3.

Since amount of money saved = £32,

Amount of money spent = £32 * (3/2) = £48.

Total amount of money = £32 + £48 = £80.

Therefore I received £80 for my birthday.

Suppose a charity received a donation of $19.2 million. If this represents 36% of the charity's donated funds, what is the total
amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer: 53 million dollars

Explanation: To find this, you first need to do 19.2/0.36 and you will get 53.3 repeating. Then, you will round down to 53 since it says round your answer to the nearest million dollars. Finally, label 53 as 53 million dollars. Hope this helped!

what is (√7)² in simplest form?

Answers

Answer:

14?

Step-by-step explanation:

So sorry if I got it wrong-

Donovan age is two times Sydney's age the sum of their ages is 39 what is Sydney's age

Answers

Answer:

13

Step-by-step explanation:

2x+x=39

3x=39

divide both sides by 3 and then you get 13

On the first visit to the veterinarian's office, Elijah's puppy weighed 19 ounces. On the 2nd visit, the puppy had gained 9 ounces. On the third visit, the puppy had gained another 7 ounces. What is the percent increase since the first visit in the puppy's weight rounded to the nearest percent?

a 84%
b 85%
c 79%
d 81%

Answers

Answer:

A)84%

Step-by-step explanation:

Orgin: 19 ounces

Second visit: 19+9=28 ounces

Third visit=28+7=35 ounces

35-19=16 ounces gained

16/19=84.2%=84% increase

~Please I really need help~ Inara has a base salary of $300 per week. She also receives a $30 commission on each sale. 14.5% of her gross pay is withheld for taxes and other deductions. Create
an equation for Inara's net pay.

Answers

Answer:

(300 + 30x)0.145 = y

Step-by-step explanation:

Answer:

-0.145x + 300w + 30y = p

Step-by-step explanation:

Salary: 300 Weekly

+ 30$ every sale

-14.5%

x = her taxes

y = comission

w = number of weeks

P = how much she gets paid.

Ace

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour. a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?

Answers

Answer:
A: 6:4
B: 9 cups of water
C: 3 cups of flour

Answers:

a) The ratio of water to flour is 3:2b) 9 cups of waterc)  1 & 1/3 cups of flour

====================================================

Work Shown:

Problem 1

6 cups water: 4 cups flour

(6/2) cups water: (4/2) cups flour

3 cups water: 2 cups flour

3:2 is the ratio of water to flour

In the second step, I divided both parts by the GCF 2 to reduce the ratio.

-------------------------

Problem 2

(3 cups water)/(2 cups flour) = (x cups water)/(6 cups flour)

3/2 = x/6

3*6 = 2*x ... cross multiply

18 = 2x

2x = 18

x = 18/2

x = 9

You'll need 9 cups of water

-------------------------

Problem 3

(3 cups water)/(2 cups flour) = (2 cups water)/(y cups flour)

3/2 = 2/y

3y = 2*2

3y = 4

y = 4/3

y = (3+1)/3

y = 3/3 + 1/3

y = 1 + 1/3

y = 1 & 1/3

You'll need 1 & 1/3 cups of flour

This value is a mixed number with the first "1" being the whole part, and the 1/3 being the fractional part.

This is saying you'll need 1 full cup of flour, plus an additional one-third cup of flour to go on top of that.

Find the missing side length, S. ​

Answers

S=3

They are similar so you divided 4 by 2 to get the second length of two.

That means you also have to divide 6 by 2.

Answer:

3

Step-by-step explanation:

since both triangles are similar, set up a ratio

[tex]\frac{4}{2}[/tex]=[tex]\frac{6}{s}[/tex]

cross multiply

4s=12

divide

4s=12

/4   /4

s=3

Which is a infinitely many solution ?

Answers

Answer

Sorry thats not out topic yet

Step-by-step explanation:

Sorry :c

A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to represent the number of birds after x years. Which values should she use for a and b

Answers

Answer:

a = 249 and b = 1.16

Step-by-step explanation:

Consider the provided information.

The exponential function for growth is:  [tex]y=a(1+ r)^x[/tex]

Here, a is the initial value and r is the rate of change.

It is given that the number of birds is 249.

It means a = 249

The rate is given 16%

r=0.16

Put the value of a and r in the above formula.

[tex]y=249(1+0.16)^x[/tex]

[tex]y=249(1.16)^x[/tex]

Now we will compare it with the exponential function form [tex]y=ab^x[/tex]

Therefore, a = 249 and b = 1.16


If x²-2=2⅔ +2-⅔
then prove that 2x³-6x =5 solve and send photo please​

Answers

Answer:

Step-by-step explanation:

x²-2=2⅔ +2-⅔

x^2 = 2^1 + 2⅔ +2-⅔

x^2 =   4.21736

x = 2.0536.

Plug this into 2x^3 - 6x:

= 2(2.0536)^3 - 6(2.0536)

= 5

So 2x^3 - 6x = 5.

answer:

[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]

Step-by-step explanation:

[tex]x ^{2} - 2 = \frac{8}{3} + 2 - \frac{2}{3} [/tex]

[tex]x^{2} - 2 = 4[/tex]

[tex]x^{2} = 4 + 2[/tex]

[tex]x^{2} = 6[/tex]

[tex]x = - \sqrt{6} \\ x = \sqrt{6} [/tex]

[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]

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