make x the subject of the following formula:
ax - ay = cx + by

please help​

Answers

Answer 1

x = by + ay / a - c

Step-by-step explanation:

Given that

ax - ay = cx + by

Collect like terms

ax - cx = by + ay

Factorize both sides

ax - cx = by + ay

x(a - c) = by + ay

Divide both sides by (a - c)

x(a - c) = by + ay

x = by + ay / a - c

Making x the subject of the formula would be

x = by + ay / a - c

Learn more about subject of formula here : https://brainly.com/question/859711


Related Questions

help with this problem pls

Answers

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?

Answers

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Help!! And stop with the links!!!!!

Answers

Answer:

  3, 5, 2, 1, 4

Step-by-step explanation:

In step 2, parentheses are eliminated: distributive property.

In step 3, x is subtracted: subtraction property.

In step 4, 12 is added: addition property.

In step 5, the equation is divided by 17: division property.

__

The properties are listed in the order of statements ...

  3, 5, 2, 1, 4

Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?

Answers

Answer:

No solution

Step-by-step explanation:

y=2x + 4
y = 2(x + 2)
what is x

Answers

Answer:

I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well

Step-by-step explanation:

1.)

y=2x+4

-subtract 4 on both sides-

y-4=2x

-divide 2 on both sides-

x=y-4/2

2.)

y=2(x+2)

-distribute the 2-

y=2x+2

-subtract 2 on both sides-

y-2=2x

-divide 2 on both sides-

x=y-2/4

I dont know exactly if this is correct, but i hope it helps! :)

What temperature does the thermometer show?

Answers

Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

3x - y = 23
2x + 3y = 8​

Answers

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

Pls help me it’s due at 12:00

Answers

Step-by-step explanation:

# easy learning

good luck and god Blees

Ok done. Thank to me :>

IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3

Answers

Answer:

3. 314 student and 226 adult

4. x = 6.5, y = -0.5

Step-by-step explanation:

3. First we will take our information and make a system of equations:

[tex]2.4a+1.25s=934.9[/tex]

[tex]a+s=540[/tex]

[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.

From the second equation we can rearange it to be:

[tex]a=540-s[/tex]

Then we can plug in our new value of [tex]a[/tex] to our first equation

[tex]2.4(540-s)+1.25s=934.9[/tex]

[tex]1296-2.4s+1.25s=934.9[/tex]

[tex]1.15s=361.1[/tex]

[tex]s=314[/tex]

We can then find [tex]a[/tex] by plugging in s to our second equation

[tex]a+314=540[/tex]

[tex]a=226[/tex]

4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:

[tex]3x -5(-5x+32)=22[/tex]

[tex]3x+25x-160=22[/tex]

[tex]28x=182[/tex]

[tex]x=6.5[/tex]

Then plug our value of x into the first equation to get:

[tex]3(6.5)-5y=22[/tex]

[tex]19.5-5y=22[/tex]

[tex]5y=-2.5[/tex]

[tex]y=-0.5[/tex]

Tell whether the ordered pair is a solution to the equation please show how you solve it.


(3,2); x+6y = 13

Answers

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Select the correct expression

r less than 52

Answers

Answer:

no because r is a varible that dont have number

The correct expression of  r less than 52 is r<52.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is r less than 52

We have to write in the form of inequality

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The less than represents the relationship between r and 52

In the given expression r is the variable

r<52 is the required expression or inequality

Hence, the correct expression of  r less than 52 is r<52.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically

Answers

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Match the example on the left with the corresponding property on the right.
3(x - 2) = 3x - 6
Commutative
3+ (4 + 5) = (3 + 4) + 5
Associative
- 4x - 8 = – 2(2x + 4)
Distributive
4.5.6=6.4.5
(2.3). 7 = 2 · (37)

Answers

3(x - 2) = 3x - 6 ---> Distributive

3+ (4 + 5) = (3 + 4) + 5 ---> Associative

- 4x - 8 = – 2(2x + 4) ---> Distributive

4.5.6=6.4.5 ---> Commutative

(2.3). 7 = 2 · (37) ---> Associative


I’m very smart. My hair is dark. I love to eat honey, insects, and bark.

Answers

Answer:

the answer to the riddle is black bear

Step-by-step explanation:

hope it helps can I have brain for trying? :))) bless u have a great day/evening

Answer:

the other guy is right it's black bear bears love honey and only one bear is black and thats the black bear

Step-by-step explanation:

I really need help with this, and also if it's Substitution or linear combination and it will be really helpful if you do step by step please. ​

Answers

Answer:

-2x+y=12

Step-by-step explanation:

linear equation

Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.

Answers

Answer:

option A is correct

hope it helps :)

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.

How to solve for x using the equation: 12 = -4 (- 6x - 3)

Answers

I don’t know how to explain it so I am just giving the equation

12=-4(-6x-3x)
Divide both sides by 4
12/4=-4(-6x-3x)/4
3=-4(-6x-3x)/4
3=-(-6x-3x)
3=9x
9x/9 = 3/9
Divide both sides by 9
x=1/3

Use the diagram to answer the question that follows.


What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?

D

B

E

A

Answers

Answer:

B

Step-by-step explanation:

So we are at C:

We need to find the dilation:

First we add 4 to x (meaning we move the point C 4 points to the right)

Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)

This will give you your point:

Which is B

Hope this helps!

there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch

Answers

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

solve pls brainliest

Answers

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute

distance/speed = time

6 miles / (2/15) miles per minute = 45 -> 45 minutes

time*speed=distance

15 minutes * 2/15 miles per minute = 2 miles

Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour

minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile

15/2=7.5

7.5 minutes per mile

Write the inequality that represents the solution set to the given inequality below.

−8≥x−2≥10

Group of answer choices

4≤x≤−5


−4≤x≤5


4≥x≥−5


−4≥x≥5

Answers

Answer:

-6[tex]\geq[/tex]x[tex]\geq[/tex]12

Step-by-step explanation:

I can't match it to one of your solutions but I can explain this:

-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10

We can add 2 to each side to eliminate the -2 in the centre.

-6[tex]\geq[/tex]x[tex]\geq[/tex]12

What has a slope of -1/2 and an x intercept of -8

Answers

Answer:

y=(-1/2)(x)-8

Step-by-step explanation:

Since they give the slope and y intercept, you can literally plug it into the equation:

y=mx+b

where m is slope and b is y interecept.

Therefore, we get

y=(-1/2)(x)-8

Find the value of x to the nearest tenth. Show all
the work

Answers

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

elise gets a free tax allowance of $6000 and pays tax at 25% on the next $20 000. she pays tax at a raye of 30% on the rest. if she earns $72 000per year, how much must she pay?​

Answers

Answer:

c

Step-by-step explanation:

i know because im not g.a.y like u guys

Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.

Answers

Answer:

  24.2% decrease

Step-by-step explanation:

The distance Javi must ride changed by ...

  1.25 -1.65 = -0.40 . . . miles

The ratio of that to the original distance is ...

  -0.40/1.65 × 100% ≈ -24.2%

The distance decreased by 24.2%.

If Ambrea deposits $4000 in the bank and there is a 3% interest rate, how long will it take her to save $7000

Answers

Answer:

I believe the answer is 25 years

Step-by-step explanation:

3% of 4000 is 120

3000 divided by 120 is 25

Answer:

25 years

Step-by-step explanation:

So you have $4000, with a rate of 3% interest.

You want to see how long it takes to save up to $7000.

Do,

3% of $4000 is $120.

It takes a year to get a interest.

And you need $3000 dollars.

Now do 3000 ÷ 120.

You get 25.

If you subtract 17 from my number and multiply the difference by ​-2, the result is ​-10." What is the ​number?

Answers

Answer:

22

Step-by-step explanation:

-10/-2 is 5

5+17 is 22

Help bell math math math

Answers

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK

Answers

Answer: x = 13, Angle ABE = 51°

Step-by-step explanation:

Since angle ABC is 90° and angle EBC is 39°, subtract them.

90° - 39° = 51°

This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).

51 = 3 (x + 4)

Multiply 3 by x and 4.

51 = 3x + 12

Subtract both sides by 12.

39 = 3x

Divide both sides by 3.

x = 13

wahts the gcf and lcm of 18 and 30

Answers

Hey there. So first, to work out the LCM, we need to find the multiples of 18 and 30. We’ll start with 18, and we’ll stop at a reasonable number.

18, 36, 54, 72, 90.
30, 60, 90, 120.

Already we notice that 90 is the smallest multiple that is evident in both numbers. So 90 is your LCM.

Now for the GCF, we want to begin by creating a factor tree for 18 and 30. I found one on the internet so it’s easier to view.

When finding the GCF, you want to circle all the prime numbers you have, so in this case, for 18, we have 2 x 3 x 3. They’re all prime.

For 30, we have 2 x 3 x 5. They’re all prime.

If we now circle the numbers that are common in both so we have (2) in 18 and 30, and we have (3) in 18 and 30. We are left with 5 and 3, ignore them for now. Because we managed to circle 2 and 3, if we multiply them together, we get 6. So the GCF of 18 and 30 is 6. And the LCM of 18 and 30 is 90.

Sorry if this sounds confusing, i tried my best.
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