Mathematics High School

Solve the following system of equations using substitution.

4x + 2y = 12
x = y + 3

Answers

Answer 1

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

Answer 2

Answer: look at the picture, sorry I can’t solve x = y + 3 for x.

Step-by-step explanation: Hope this help :D

Solve The Following System Of Equations Using Substitution.4x + 2y = 12 X = Y + 3
Solve The Following System Of Equations Using Substitution.4x + 2y = 12 X = Y + 3
Solve The Following System Of Equations Using Substitution.4x + 2y = 12 X = Y + 3

Related Questions

-6x² + 8x + 10is in what form?

A)Standard
B)Linear
C)Vertex
D)Parent

Answers

Step-by-step explanation:

The given quadratic equation is in standard form.

HELP PLEASE!! a space station orbits earth at a rate of 57 miles every 3 seconds
Write the space stations rate of change

Answers

Answer:

i think its every 90 minutes but I could be wrong.

Step-by-step explanation:

flat family roof on goformative answer

Answers

Guatafak is that ...

B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?

Answers

Answer:

ayaw pag salig og brainly lods

Anyone help me with this please!!

Answers

Answer;
35, 70, and 77

Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?

Answers

Answer:

17.74%

Step-by-step explanation:

The formula for percent error is given as:

|Estimated value - Actual value|/Actual value × 100

From the above question:

Estimated value = 73 feet

Actual value = 62 feet

Hence,

Percent error = |73 - 62|/62 × 100

= 11/62 × 100

= 17.741935484%

Approximately , percent error = 17.74%

Therefore, the percent error of Andy's estimation is 17.74%

HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.

Answers

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

A cake weighs 215 g and is shared equally between five people. What weight of cake does each person receive?

Answers

Answer: 43 g

Step-by-step explanation: For 215 to be divided equally between five people the equation should be set up as 215/5, which equals 43 g for each person.

You just have to divide the weigh of the cake by the number of people that’ll be sharing it

For example 215g dived by 5 is 43g
Therefore each person receive 43g of the cake.


(God bless you)

Help please


Thanks <3

Answers

Answer:

answer in the screen shot provided

From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles

Answers

Complete question :

From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.

Answer:

Step-by-step explanation:

Total number of marbles :

Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6

Total = (1 + 6 + 7 + 4 + 6) = 24 marbles

Probability of selecting marble that is not yellow :

Number of marbles that aren't yellow / total number of marbles

Marbles that aren't yellow = 24 - 6 = 18

P(selecting a marble that isn't yellow) = 18 / 24 = 3/4

Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?

Answers

The answer is 19.4
Most of the time when you try to find a missing length of a right triangle you use Pythagorean theorem. Pythagorean theorem is A squared plus B squared equals C squared. C squared is always going to be the longest length/diagonal line otherwise known as your hypotenuse. In this case the ladder is the hypotenuse. So instead of adding five squared +20 squared you’re going to square 20 and then subtract five squared to get the missing length which would be B squared and then you have to find the square root of B squared. So 20 squared is 4000. 5squared is 25 400-25 = 375 square root of 375 is about 19.4.

Help please ASAP
2. A birthday present is placed into a rectangular
shoe-box. The box has the following dimensions: 3
inches by 7 inches by 8 inches. What is the minimum
amount of wrapping paper needed to cover the
entire box?
a.
146 sq. in.
b.
101 sq. in.
C
202 sq. in.
d.
168 sq. in.

Answers

Answer: 168 sq. in.

Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168

Im really struggling with this, i need A on this test please help me!

Question 4 options:


The volume of the square pyramid is ___ cubic centimeters.

Answers

The volume of the square pyramid is 600cm^3

The volume of the square pyramid is 600cm^3


Which ordered pairs are solutions to y = x + 1?
A (0,1),(1,2), (2,3)
B (0, -1), (2, -1), (3,-2)
C (0,1),(1,2), (2, 4)
D (0,1),(2, 1), (3, 1)

Answers

Answer:

A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )

Step-by-step explanation:

( x, y ) = ( 0, 1 )

Here,

x = 0

y = 1

y = x + 1

1 = 0 + 1

1 = 1

( x, y ) = ( 1, 2 )

Here,

x = 1

y = 2

y = x + 1

2 = 1 + 1

2 = 2

( x, y ) = ( 2, 3 )

Here,

x = 2

y = 3

y = x + 1

3 = 2 + 1

3 = 3

PLEASE HELP IF YOU KNOW HOW TO EXPLAIN

Answers

Answer:

cos Q = 28/53

Step-by-step explanation:

cosine = CAH

          = Adjacent / Hypotenuse

adjacent length 25 and hypotenuse is 53

hope this helps!

Mandy the elephant weighs 7,390 lbs her baby luna weighs 1492 how many more pounds does mandy weigh than luna

Answers

Answer:

5898

Step-by-step explanation:

7,390 - 1,492 = 5898


On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
scientific notation?


A. 0.3844 x 10^-6
B. 3.844 x 10^-5
C. 3.844 10^5
D. 0.3844 x 10^6


Answers

Answer:

C

Step-by-step explanation:

hope this helps with the work

C is the answer I am 100 percent sure

Which measurement can be used to describe the size of an angle

Answers

Answer:

Step-by-step explanation:

degrees

Degrees

Hope this helps!

The measure of angle P is ___ degrees, rounded to the nearest hundredth.

Answers

Answer:

35.00 degrees

Step-by-step explanation:

Please help!


Due soon...

Answers

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case,  PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?​

Answers

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6

Answers

x = 0.89
x = -0.89
two solutions

Write 9x - 8 as a verbal expression

Please the fast as possible!

Answers

Answer:

8 subtracted from the product of 9 and x

Hope this helps!

i need help solving this math problem from my practice work

Answers

B is 27, your answer is 27

Solve this system of equations by using the elimination method. 2x - 2y = 2. 5x + 2y = 12 (2, [?])​

Answers

Answer:

(2,12)

Step-by-step explanation:

mathpapa

Answer:

(2,1)

Step-by-step explanation:

Find the 93rd term of the arithmetic sequence -6,13,32...

Answers

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

What is the answer if you factor 5x^2+15x-20

Answers

the answer is 5(x-1)(x+4)

What is -3x-y=-24 if Y =3x

Answers

Answer:

x= 4 and y= 12

Step-by-step explanation:

solve by substitution

hope this helps :D

Melissa built a square pyramid out of sand. The base of the pyramid has a side length of 18 centimeters. The height of the pyramid is 26
centimeters.
What is the volume of the pyramid?
A. 624 cm3
B. 1,872 cm
C. 2, 808 cm
D. 4,212 cm
E. 8, 424 cm

Answers

Answer:

C. 2, 808 cm^3

Step-by-step explanation:

Given that

The base of the pyramid is 18 centimeters

And, the height of the pyramid is 26 centimeters

We need to find out the volume of the pyramid

As we know that

The volume of the pyramid is

= 1 ÷ 3 × base^2 × height

= 1 ÷3 × 18^2 × 26

= 2,808 centimeter^3

Hence, the correct option is c.

an event that cannot happen is

a certain
b possible
c impossible

Answers

an event that cannot happen is impossible
c. impossible
certain and possible are things that will or could potentially happen
Other Questions
The short-run average variable cost curve: a. starts above the origin and always slopes upward. b. is always downward sloping. c. slopes downward at low rates of output and then slopes upward at higher rates of output. d. starts at the origin and always slopes upward. e. is a horizontal line intersecting the vertical axis. I need help I don't know who it is but they keep flagging me what do I do Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft. a cylinder has a diameter of 12 and height of 12. the volume of the cylinder is:A. 1728 cubic unitsB. 288 cubic unitsC. 144 cubic unitsD. 432 cubic units which best describes a rectangle with diagonals that are perpendicular Mercury: Mineral or Not Mineral? Mineral Not Mineral If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike? Adrian has been arrested on the charges of committing homicide. He will face a trial soon. His family plans to hire a lawyer who could defend him in the trial. Which law must Adrian's lawyer specialize in? A. civil B. criminal C. corporate D. labor E. administrative 15. Objects can have kinetic energy, potential energy, or both. Energy can be in the form of motion. Energy canalso be stored by objects in various ways, including position, chemical bonds, or physical state.Which statement is true? And why?a. An objects mass has no effect on its potential energy.b. Potential energy is converted to kinetic energy as a stationary object begins to move.c. Kinetic energy is converted to potential energy as a stationary object begins to move.d. A stretched rubber band stores no energy. Caroline has a rock stuck in her Jeeps tire Please helppppp!!! I have 10 minutes left!!! If 64x=82, what is the value of x?Round your answer to three places. Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster? A company is thinking about offering employee wellness classes during operational hours to boost production. They want to perform an experiment to see if employees attending these classes improve their quality of work. What is the best way to randomly choose a group of employees to attend these classes? A box has a mass of 3 kg. The box is lifted from the floor and placedon a shelf. If the box gains a Potential Energy of 100 J, then how highis the shelf?a 2.34 mb 1.20 mC 1.50 md 3.40 mHALP Write an equivalent expression d+d+d+e+e+e?please help Type the integer in the box. Solve:: t/2 + 10 =-40 WILL MARK BRAINLIEST What is the oxidation state of Carbon in CaC2O4? The product of a number n and 8 is 32 Which of the following joints are primarily synovial?