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

flat family roof on goformative answer

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Guatafak is that ...

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!

Help please


Thanks <3

Answers

Answer:

answer in the screen shot provided

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

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

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

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

Answers

Answer:

35.00 degrees

Step-by-step explanation:

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

i need help solving this math problem from my practice work

Answers

B is 27, your answer is 27

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

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.

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!

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

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

Anyone help me with this please!!

Answers

Answer;
35, 70, and 77

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

Answers

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

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

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

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:

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


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

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:

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%

-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.

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.

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

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)

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.

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

Answers

Answer:

Step-by-step explanation:

degrees

Degrees

Hope this helps!


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

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