Here is a linear equation in two variables: 2x+4y−31=123. Solve the equation, first for x and then for y.

Answers

Answer 1

Answer:

[tex]x = 77 - 2y[/tex]

[tex]y = \frac{77 - x}{2}[/tex]

Step-by-step explanation:

Given

[tex]2x + 4y - 31 = 123[/tex]

Required

Solve for x and for y

[tex]2x + 4y - 31 = 123[/tex]

Add 31 to both sides

[tex]2x + 4y - 31+31 = 123+31[/tex]

[tex]2x + 4y = 154[/tex]

Solving for x

Subtract 4y from both sides

[tex]2x + 4y - 4y = 154 - 4y[/tex]

[tex]2x = 154 - 4y[/tex]

Divide by 2

[tex]x = 77 - 2y[/tex]

Solving for y

[tex]2x + 4y = 154[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 4y = 154 - 2x[/tex]

[tex]4y = 154 - 2x[/tex]

Divide by 4

[tex]y = \frac{154 - 2x}{4}[/tex]

Split

[tex]y = \frac{77 - x}{2}[/tex]


Related Questions

Solve the equation for x:
5x – 4 – 9x
4(x - 5)

Answers

Answer:

x = 2

Step-by-step explanation:

5x – 4 – 9x = 4(x - 5)

-4x -4 = 4x -20

-4x -4x = -20+4

-8x = -16

x = -16/-8

x = 2

Help me please ASAP

Answers

Answer: 150?

Step-by-step explanation:

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,340 ft Determine the​ flag's width and length if the length is 390 ft greater than the width.

Answers

Answer:

Step-by-step explanation:

L=W+390, W=L-390

P=2(W+L), P=2340

2(L-390+L)=2340

2L-390=1170

2L=1560

L=780ft

HELP NO WRONG ANSWER PLS

Answers

it's π 11²-π 3²

π(121-9)

3.14(112)

=351.68cm²

round off yourself (╥﹏╥)

The answer is : 351.69cm^2

Pls help me find the area

Answers

I might be wrong but I think all you have to do is 6 x 6 and then multiply that answer by 3

Answer:

27

Step-by-step explanation:

6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27

16 + x = 22
Please help

Answers

Answer:

6

Step-by-step explanation:

All you have to do is subtract 16 from both sides!

16+x=22

-16    -16

x=6

I hope this helps, and have a great day! :)

Show your work:
Q1.) Cathy has a prepaid cell phone. Last month she deposited $55.00 into her cell phone
account and was able to talk for 700 minutes before running out of credit. Wh is the
charge per minute on Cathy's cell phone; Round to the nearest cent and assume no other
fees apply.

Answers

Answer:

12.72 Cents Per Minute

Step-by-step explanation:

Divide 700 by $55 to get the dollars per minute

The cost of a ticket to the fair on Sunday is $4 per adult and $2per child. The fair made $840 that day. The ticket office knows that they sold 300 tickets. How many adult tickets did they sell?

Answers

Answer:

120 adult tickets

We wish to analyze the temperature during summer months for the northeaster part of the US proportion or mean

Answers

Answer:That would be mean

The mean is the average number. To get the average number you add up all of the numbers, then divide by how many numbers there are.

In a random sample of 200 customers at a restaurant, 140 customers ordered french fries. If the restaurant typically has 1,000 customers in a day, about how many will probably order french fries?

Answers

Answer: 700 customers

Step-by-step explanation:

In a random sample of 200, 140 people ordered French fries.

Find out the percentage of people who ordered French fries:

= 140 / 200

= 70%

If the restaurant usually has 1,000 customers a day, based on the rate of people who ordered French fries out of 200 people - 70% - the number of people who will probably order French fries are:

= 70% * 1,000

= 700 customers

Find the measure of Angle C. thanks!!

Answers

Answer:

Use the formula for the trapeze

Step-by-step explanation:

Answer:

∠ C = 88°

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral sum to 180°, then

8x - 4 + 7x + 4 = 180 , that is

15x = 180 ( divide both sides by 15 )

x = 12

Then

∠ C = 7x + 4 = 7(12) + 4 = 84 + 4 = 88°

Dave said that these triangles are similar. Is it false or true?

Answers

Answer:

false

Step-by-step explanation:

the sum of the angles is 180, for the first triangle B is 180-(60+79)= 41°. and for the second F = 180-(60+42) = 72°. therefore they're not equal / similar.

Solve this inequality:
16x - 33x < -12x + 30

A. x < -6
B. x > 6
C. x > -6

Answers

Answer:

x > -6.

Step-by-step explanation:

16x - 33x < -12x + 30

Add 12x to both sides:

16x - 33x + 12x < 30

-17x + 12x < 30

-5x < 30

x > 30/-5

x > -6

(Note the inequality signs flips because we are dividing by negative 5).

Andrew says that 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x= 1. Is Andre correct in saying they're equivalent?

Answers

Hey love! <3

Answer:

The right answer is that Andrew is correct in saying they are equivalent.

Step-by-step explanation:

In Andre's statement x is equal to 1 unless further added into the statement, both sides equal the same amount after simplification.

Hope this is helpful! (⊙‿⊙✿) Sincerely, Kelsey from Brainly.

~ #LearnWithBrainly ~

A shirt cost $45.00. It is on sale 30% off. What is the amount of money you will save?

Answers

Answer:

Step-by-step explanation:

45  x 30% = $13.5 is saved

Answer: You will save $13.5

Step-by-step explanation: We all know that $45.00= 100% of the money do 45.00 x 30= 1350 and divide 100= $13.5

what is 3⋅(3 to the 4)=3x
solve x

Answers

Hello, my name is Zalgo, and I would be honored to help you out on this Fantastic Friday. The answer to your question would be that X=81. (if you want/need the , it will be down below).

I hope this all helps you out and I hope you have a nice day.

"Stay Brainly and stay proud!" ~ Zalgo

In order to get the answer, first calculate the product for [tex]3*(3^4)=3x[/tex] which will get you [tex]3^5=3x[/tex].

Then you'll want to divide both sides of the equation by 3, taking you from [tex]3^5=3x[/tex] to [tex]3^4=x[/tex].

After that, you need to evaluate the power, so now you have went from [tex]3^4=x[/tex] to 81=x.

And the final step would be to switch the sides of the equation. So instead of ending with 81=x, you'll end with x=81.

Find two consecutive integers whose product is 90.

Answers

9 and 10 is your answer

Find the length of a rectangular prism having a volume of 60 cubic meters, width of 2 1/2 meters, and height of 3 1/3

Answers

Answer:

7 1/5 m

Step-by-step explanation:

Find the length of a rectangular prism having a volume of 60 cubic meters, width of 2 1/2 meters, and height of 3 1/3

Volume of a rectangular prism = Length × Width × Height

Length = Volume/ Width × Height

Length = 60 m³/2 1/2 m × 3 1/3 m

Length = 60 m³/8 1/3 m²

Length = 60 m³÷ 8 1/3 m²

= 60 m³ ÷ 25/3 m²

=( 60 × 3/25 )m

= 180/25 m

Length = 7 1/5 m

The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.

Answers

Answer:

it takes 6 hours 40 minutes

Answer: 6.75 hours

Step-by-step explanation:

540%80=6.75

Reflect (-1, -1) over the y-axis.

Answers

Answer:

(1,-1)

Step-by-step explanation:

[Inequalities]
Please help and thanks.

Answers

Answer:

First blank is >=

Second blank is <=

Step-by-step explanation:

At least means the sign is greater than or equal to

No more than means the sign is less than or equal to

We sell ice cream at a retail store, which we operate 50 weeks per year. Whenever we order from our supplier we incur a $250 ordering charge. Customer demand is 200 pounds per week and it costs us $35 per pound per year to hold the ice cream in proper storage. a) What is the EOQ?

Answers

Answer:

the EOQ is 378 units

Step-by-step explanation:

The computation of the economic order quantity(EOQ) is shown below:

EOQ is

[tex]= \sqrt{\frac{2\times A\times O}{C} } \\\\= \sqrt{\frac{2\times 200 \times 50\times \$250}{\$35} }[/tex]

= 378 units

Here A represent the annual demand

O represent the ordering cost

And, C represent the carrying cost

hence, the EOQ is 378 units

A highway sign shows a speed limit of 60 miles per hour. Which of the following car speed measurements represent the same level of accuracy compared to the speed limit sign? Check all that apply. A. 64 mph B. 56 mph O C. 48 mph O D. 68 mph​

Answers

Answer:

B and C

Step-by-step explanation:

IT is found that B. 56 mph and C. 48 mph car speed measurements represent the same level of accuracy compared to the speed limit sign.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken

We can see that As the speed limit on the highway is 60 miles per hour and the speeds mentioned above are below the speed limit.

The legal top speed at which a vehicle may travel on a specific section of road is determined by speed limits for road traffic, since they are utilized in the most of countries.

On a traffic sign, it is known that the maximum allowed speed is typically displayed and expressed in kilometers per hour (km/h) or miles per hour (mph).

Learn more about speed limit here:

brainly.com/question/10492698

#SPJ2

The measure of Juan's angle is modeled by 2x2+6x−5. The measure of Sally's angle is modeled by 8x+31. Which polynomial expression represents how much greater the measure of Juan's angle is than Sally's?
a.) 2x2−2x−362 x squared minus 2 x minus 36

b.) 2x2−2x−262 x squared minus 2 x minus 26

c.) 2x2+2x+362 x squared plus 2 x plus 36

d.) 2x2+14x+26

Answers

Answer: 2x^2-2x-36 is the correct answer

Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)

triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC is not a right triangle.
[tex]a^{2} +b^{2} =c^{2} \\8^{2} +17^{2} =15^{2} \\64+289=225\\353\neq 225[/tex]

What mistake did Sofia make?

A Sofia made a calculation error.
B Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.
C Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.
D Sofia’s conclusion is incorrect. When the sides of a triangle do not satisfy a2+b2=c2, you cannot conclude that the triangle is a right triangle.

Answers

Answer: Its b.

Step-by-step explanation: The hypothenuse is the biggest number and the leg is the two shortest numbers.

Ryan worked 40 hours last week. He had $74 deducted from his earnings for taxes. If he had $286 left after the deduction, whats the equation for this?​

Answers

$360/40 hours correct

Help Me, Now! E. The Siblings need to save $1,150. At what week will they have enough between both accounts? Week 1, Week 2, Week 3, Or Week 4?​

Answers

Theres not enough info

PLZZZ HELP MEEE YALL .!.!.!.!

Answers

Answer:

Step-by-step explanation:

Area of the rectangle = length * width

                                   = 10 * 5

                                   = 50 m²

Area of the smaller rectangle that is white color = 7 * 2

                                                                               = 14 m²

Triangle:

base = b = 5 m

Height = h = 16 - 10 = 6 m

Area of triangle = [tex]\frac{1}{2}*b*h\\[/tex]

                          [tex]= \frac{1}{2}*5*6\\\\= 5*3\\\\= 15 m^{2}[/tex]

Area of shaded area = area of bigger rectangle - area of smaller rectangle + area of triangle

 = 50 - 14  + 15

= 21 m²

the sum of two numbers is 2 to the power of 6. the one number is equal to 6 to the power of 2. determine the value of the other number.​

Answers

Answer:

28

Step-by-step explanation:

x+y=2^6

and we have x=6^2=36

36+y=64(since 2^6= 64)

then,y=64-36=28

so the value of the other number is 28

help me please!!! thank u.

Answers

Answer:

y=-x-5(instead of 5 it could be any number)

Step-by-step explanation:

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