If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?

Answers

Answer 1

Answer:

2x-3x=24____eqn 1

3x+4y=2____eqn 2

solve eqn 1 and 2 simultaneously using elimination method

eliminate x use the coefficients of x in the two equations to multiply each other i.e

3(2x-3y=24)

2(3x+4y=2)

6x-9y=72

6x+8y=4

eliminate x using the subtraction sign(-)

6x-6x-9y-(+8y)=72-4

-9y-8y=68

-17y=68

divide both side by the coefficient of y

y=68/-17

y=-4

put y=-4 in eqn 2

3x+4y=2

3x+4(-4)=2

3x-16=2

collect like term

3x=2+16

3x=18

divide both side by the coefficient of x

x=18/3

x=6

since we're asked to find x-y

6-(-4)

6+4=10


Related Questions

The recipe calls for 2 2/4 but jams only have 1/4 how many cups do jams need to measure out 2 2/4 cups of raisins

Answers

Answer:

brainliest

Step-by-step explanation:

she needs altogether 2 2/4.

that is 2 wholes and 2/4 fraction.

if we consider using 1/4 cup, 1 whole is made of four quarter cups.

Therefore 2 wholes require eight quarter cups. then theres a remaining fraction of 2/4 which is equivalent to two quarter cups.

1/4 + 1/4 = 2/4. therefore altogether  8 + 2 = 10 of the 1/4 cups are required for the recipe.

10 of 1/4 cups are needed

Write the equation of a line in slope-intercept form if m=2 and b=8.

Answers

Answer:

y=2x+8

Step-by-step explanation:

The slope intercept form is:

y=mx+b

with m and b already given, just plug in m and b and you will get your answer.

A rectangle measures 3 1/4 inches by 3 3/4 inches. What is the area

Answers

Answer:

12.1875 or 195/16 or 12 3/16

Step-by-step explanation:

All you must do is multiply them by each other

hope this helps

Answer:

12.19 inches

Step-by-step explanation:

please mark brainliest

Please help asap pls only 1 question I need to finish pls this is middle school homework

Answers

Answer:

a,d,b,c

Step-by-step explanation:

How does the size of the product change from problem to problem?

Answers

The size of the product changes by becoming up into another than becoming trash

is 0.23 or 2.3% greater?

Answers

Answer:

0.23

Step-by-step explanation:

If you convert 0.23 into a percent, it becomes 23%, which is more than 2.3%.

Hope that helps!

-Sabrina

find the measurement of the question mark. please help image included.

Answers

9514 1404 393

Answer:

  45°

Step-by-step explanation:

The base angles in any isosceles triangle are congruent.

  ? = 45°

__

The acute angles in any right triangle are complementary.

  ? = 90° -45° = 45°

__

However you decide to think about it, you get ? = 45°.

The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:

25

20

30

16

Answers

Answer:

25

Step-by-step explanation:

c to d is 5 to 4

5x5=25

fffff

Answer:

25

Step-by-step explanation:

We need to divide 20 by 4 to see how much 1 equals in this problem.

20÷4=5

5 equals 1

Now we add 5 to 20 because the ratio is 5:4.

20+5=25

Our answer is 25.

what is 8x5 please help

Answers

Answer:

8x5 equals 40.

Step-by-step explanation:

Answer:

8x5 is 40, hope that helped :)

If US $1.00 is equivalent to EC $ 2.70, how much in US would one get from EC 297.00?

Answers

NEEED POINTS ..





xx ‘zmsms

[tex]1/5(6+3+1)^{2}[/tex]

Answers

Ur answer is 20

Evaluate
6+3+1
10
1/5*10 2

1/5*100

100/5 multiple the #

20

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 2,5,8,... ?

Answers

Answer:

Arithmetic sequence with common difference of 3.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, and this difference is called common difference.

Geometric sequence:

The quotient between consecutive terms is always the same, and this quotient is called common ratio.

In this question:

5 - 2 = 8 - 5 = 3

5/2 = 2.5 different of 8/5 = 1.6

This means that it is an arithmetic sequence with common difference of 3.

Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?

A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6​

Answers

B

It was 3 degrees below so the 3 will be a negative 3. Then by 10 it rose up by 3 so it is a positive 3. So -3+3=0

Plz help it’s due tomorrow

Answers

Answer:

x=121 degrees

Step-by-step explanation:

Sorry if my work is a bit messy. If you need me to rewrite it i can

help!!!!!!!!!!!!!!!!

Answers

If 6 is the longest side, and 4 is the shortest side, then the middle has to be 5.

Nora made 15 gallons of lemonade for a community picnic. She served 100 pints to the people. How many pints are leftover? Please help!

Answers

Answer: 20 pints will be left

Hope it helps.
1 gallon has 8 pints. 15*8 120 then substrate by the pints used= 20

Answer:

There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.

Brainliest please?

What is four plus eight

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you take the number 8 and then you add 4. and you find yourself with the answer 12

what is the measure of angle 1?

a. 36

b. 86

c. 89

d. 94

Answers

The answer is D. 94 for sure

Answer:

D, 94

Step-by-step explanation:

Angles of a triangle add up to 180 degrees.  180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees.  86 = 2  180 - 86 = 94 94 = 1

Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D

Anyone know this please I really need help

Answers

Answer: smaller angle = 17°
The angle is a right angle so the total degree of the angle would be 90°

Step-by-step:

Equation:
(4x+1)+(x-1) = 90
5x = 90
X = 18

Smaller angle:
(X-1)
(18-1)
17°

The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10

Answers

Answer:

Step-by-step explanation:

a/b=7/5

a=7b/5

a+b=36, using 7b/5 for a we have

7b/5+b=36

7b/5+5b/5=36

12b/5=36

12b=180

b=15, and since a=7b/5

a=7(15)/5

a=21

So the numbers are 21 and 15

Answer:

C is the correct answer please like for more


5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?

Answers

Answer:

3 x 5 = 15

Step-by-step explanation:

To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!

Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25

Answers

Answer:

A

Step-by-step explanation:

yyjvgyujjjjuyrcjkoiffffgy

how could i find the value of this expression?​

Answers

Answer:

you plug in the numbers

Step-by-step explanation:

Please mark brainliest!!

Answer:

√x⁴-y²

x²-y²

(x+y)(x-y)

when

x=3

y=-6

√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer

2
It takes Nathan 4 minutes to solve 3 math problems. Choose a ratio tool to determine how long will it take Nathan to solve 12 math problems.

Answers

Answer: since 4mins->3math prob.

then 12/3=4 and 4x4=16

It will take him 16 minutes to solve 12 math problems

Step-by-step explanation:

Evaluate the expression.

3×2⁴​

Answers

The answer to this equation is 48

A cone has a volume of 350 cubic meters. The area of the baseis
70 square meters. What is the height of the cone?

Answers

Answer:

The height is 15

The answer to it is 15

The circumference of the smaller circle is 20% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.

Answers

Answer:

92.5

Step-by-step explanation:


Joe ran 1 1/4 laps in 2 minutes. How many laps did Joe run on average per minute?

Answers

Answer

2.5/4

Step-by-step explanation:

If you do 1 1/4 divided by 2 that would equal 2.5/4 I hope that helps!

Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?

Answers

Answer:

20

Step-by-step explanation:

Answer:

tom is 8 and becky is 18 now

Step-by-step explanation:

in two years becky would be 20 and tom will be 10

hope this helps

We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?

Answers

Solution :

Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1

Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:

[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]    

Here, k = 1, 2, 3, 4, 5

The probability of the transmitted bit to be decoded correctly is:

[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]

         [tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]

         [tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]

         = 0.91854

The probability that the deletion occurs is

[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]

          [tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]

         [tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]

         = 0.081

The probability of an error is

[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]

          [tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]

         [tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]

         = 0.00046

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