3×_5=16 and 3×=21

the first equation is a true statement for a certain value of x.

can you explain why the second equation must also be true for the same value of x?​

Answers

Answer 1

Understanding:

First, let's try simplifying the first equation as much as we can. As you know, you can add, subtract, multiply, divide, etc on both sides of the equation and it will remain the same value. To simplify [tex]3x-5=16[/tex] we can simply add 5 to both sides to cancel the -5 on the left-hand side. That will give us [tex]3x-5 +5=16+5[/tex], notice we added the 5 to both sides. The +5 cancels -5 and 16+5 is 21, which evaluates to [tex]3x=21[/tex]. And this equation looks familiar, it's our second equation actually. That's why both equations are the same, and in that x value that makes the first equation true, it will also do the same for the second equation. If you want to actually find the value of x which makes the equation true, you can simply divide the 21 on the right-side by 3 to make x coefficient equal to 1, [tex]\frac{3x}{3} =\frac{21}{3}[/tex], and that gives us,  [tex]x=7[/tex]. When x is 7 both equations are true.

Answer 2

Answer:

We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.

Step-by-step explanation:

Given the first equation

[tex]3x-5=16[/tex]

Add 5 to both sides

[tex]3x-5+5=16+5[/tex]

simplify

[tex]3x=21[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}[/tex]

simplify

[tex]x=7[/tex]

Thus, x = 7 is a value that satisfies the first equation.

Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.

3x = 21

3(7) = 21         ∵ x = 7

21 = 21

Thus, x = 7 also satisfies the 2nd equation.

Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.


Related Questions

Which of the following is NOT a limitation of the model?
A size of sun
B size of the planets
C distances between planets
D number of planets

Answers

D the rest would be impossible to recreate

Answer:

the answer to this question is option D mark me as brainliest

Diagram shows the distance-time graph of teo cars. FGHI shows the journey of car J from town K to town L. MGN shows the journey of car P from town L to town K. When did the two cars meet?​

Answers

Answer:

1100 is when the two cars met

Step-by-step explanation:

the two lines intercept at 1100, 60km

Simplify the expression.
347+429+437


1. 11 2/9


2. 12 2/9


3. 11 9/23


4. 12 9/23

Answers

Answer:

2.  12 2/9

Step-by-step explanation:

Because of the choices, I assume the three addends are mixed numerals:

3 4/7 + 4 2/9 + 4 3/7 =

= 3 + 4 + 4 + 4/7 + 2/9 + 3/7

= 11 + 7/7 + 2/9

= 11 + 1 + 2/9

= 12 2/9

Answer: 2.  12 2/9

Christmas Special Before I ask you to Answer my Question

On the first day of Christmas my true love Ran From Me (My IQ)
Because of My Homework that I Still Need to Complete

On the second day of Christmas my true love Ditched me
Now I Have many Assignments to Complete

On the third day of Christmas my true love Forever Left me
Now I only Have C's and No Tv and a Slipper coming after me

On the fourth day of Christmas my true love that I havent Seen
Because of that I Have, No Brain Cells
Forgot How to Spell and All The Easy Assignments that I Have
That I can you to Make a boat overseas!
_____________________________________________________________
Now Im Gonna Ask you Can you please help me with these two Questions
Answer All , Correctly, Explained, Quickly and Have a Merry Christmas!

Answers

Answer:

6. 4

7. 0

Step-by-step explanation:

6. Slope of line that passes through (-1, -4) and (1, 4):

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-4))}{1 - (-1)} = \frac{8}{2} = 4 [/tex]

7. Slope of line that passes through (1, 2) and (-3, 2):

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 2)}{-3 - 1} = \frac{0}{-4} = 0 [/tex]

Options are line ED, line EH or line CD

Answers

Answer:

ED and CF are paralell to eachother

Help I’m struggling please respond fast I have 5 m

Answers

Answer:

whats your question

Step-by-step explanation:

pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee​ help​

Answers

Answer:

there is nothing attached??

(5x+1)(x)=(x+5)(x+3)​

Answers

Answer:

Factor out the results of each side First half: 5x^2 + xSecond half: x^2+3x+5x+15 =x^2+8x+15Combine results 5x^2+x= x^2+ 8x+154x^2 = 7x+15 x= -5/4 and 3

In the diagram below, determine the value of x:

Answers

9514 1404 393

Answer:

  55°

Step-by-step explanation:

130° is an external angle to the small triangle at lower left, so is the sum of the remote interior angles. The unmarked interior angle at the bottom of that triangle is then 130° -30 = 100°.

That is an exterior angle of the large triangle that has remote interior angles of 45° and x°. So, ...

  x° + 45° = 100°

  x° = 100° -45°

  x° = 55°

_____

Alternate solution

The sum of the interior angles of a quadrilateral is 360°. Three of the angles in the bounding quadrilateral are x°, 45°, 30°. The fourth is the reflex angle that is (360° -130°) = 230°. So, we have ...

  x° +45° +230° +30° = 360° . . . . . angles CCW from lower right

  x° = 360° -305°

  x° = 55°

What is the simplified expression for (-3c)2 a-4 bo?​

Answers

Answer:

-6ca-4

Step-by-step explanation:

Answer:

9c2/a4

Step-by-step explanation:

for g(x)=x²-x, find g(x) when x= -8
g(-8)=??
please help i have to finish this by 6 00 and its 5 23​

Answers

Answer:

g(-8)= -8²-8= -64-8= g(-8)=-72

Step-by-step explanation:

Select the correct answer. Fredrick manages a band and sings lead vocals. The band charges $700 per concert. Fredrick receives $175 of that money, and he shares the rest equally among the other 5 members of the band. How much money does each of the 5 band members receive per concert? A. $105 B. $112 C. $175 D. $525

Answers

Answer:

A. $105

Step-by-step explanation:

Given

total charge=  $700 per concert

solution

If Fredrick receives $175 of that money, the balance will be

 $700-$175= $525

The balance will be shared by the 5 members

Hence each of them will take

525/5=$105

Answer:

$105

I hope this helps

4x?x2=48
by the way i'm unsmart I just wanted to show my little brother how brainly works

Answers

Answer:

6

Step-by-step explanation:

So I assume it's 4 × x × 2 = 48

First multiply the like terms (4 x 2) and you'll get 8.

8 × x = 48

Then you 8 by the x and get 8x

8x = 48.

Lastly you'll just divide 48 by 8 and get 6.

Hope your brother understands how this works now! (It's basically legal cheating)

Answer:

6

Step-by-step explanation:

im not the smart too sorry

write the equation for (3,3) and (1,-3)

Answers

Answer:

y = 3x -3

Step-by-step explanation:

Find the slope first

Givens

y2 = 3

y1 = - 3

x2 = 3

x1 = 1

Equation

m= (y2 - y1)/(x2 - x1)

Solution

m = (3 - - 3) / (3 - 1)

m = (3 + 3) / 2

m = 3

Find the y intercept next

Use either point to find the y intercept

y = 3x + b

x = 3

y = 3

y = 3*3 + b

3 = 6 + b

-3 = b

Answer

y = 3x - 3

The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800.

a. Find the percent of increase in population for town A and for town B.
b. Which town had the greater percent of increase?
please help

Answers

Answer:

C $44.99 is the answere

Answer:

there you go! 2 extra for you ⊂:

Step-by-step explanation:

PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8

Answers

1 is the correct answer my guy

Pleaseeeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

SF of KP to KN = 4

If LM = 32, then we would have to divide 32 by 4 in order to get the missing length of KL.

32 ÷ 4 = 8

Length of KL = 8

Length of LM = 32

Length of KM = 32 + 8 = 40

Mike is reading a 1,620 page book. He reads 18 pages each day. Write and solve a division equation to find the number of days, d, it will take her to finish the book. *

Answers

Answer:

90 days.

Step-by-step explanation:

if he had to read a 1,620 paged book, and 18 pages a day, it would take him 90 days to read the book.

1,620 divided by 18 = 90

Part A: What is the measure of line RV.
Part B: What is the measure of line PV​

Answers

Answer:

RT=6.5

PV=7.3

Step-by-step explanation:

What were the main important ideas in geometry that you studied in the first six weeks?

Answers

Answer:

The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.

Step-by-step explanation:

The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.

Write the equation of the graph shown below in factored form.

(the graph starts at the bottom left and continues up through the x axis at negative two to a maximum around y equals eight and goes back down through the x axis at one to a minimum around y equals negative four and back up through the x axis at three)

f(x) = (x + 2)(x − 1)(x − 3)
f(x) = (x − 2)(x + 1)(x + 3)
f(x) = (x + 2)(x + 1)(x + 3)
f(x) = (x − 2)(x − 1)(x − 3)

Answers

Answer:

f(x) = (x+2)(x-1)(x-3)

Step-by-step explanation:

f(-2) = 0, f(1) = 0, f(3) = 0. Therefore, (x+2), (x-1) and (x+3) are the factors

I need help pleaseeeeeeeeeeeeeee :3

Answers

Answer:

0.75

Step-by-step explanation:

From the attached question, we

3÷ 4

We are asked to find 3÷ 4

3 ÷ 4 = 3/4

We simplify further in other to get a decimal form

3/4 = 0.75

Richard has 15 apples. He gave Pam 5/2 of them to bake a pie. How many apples did he give to Pam?

Answers

Answer:

2.5 or 2 1/2 apples.

Step-by-step explanation:

5/2 simplified will be 2.5 or 2 1/2.

If you look into it further, because Richard had 15 apples, you subtract 2 1/2 apples he gave Pam which would leave him with 12.5 or 12 1/2. But really the answer is two and a half apples.

The equation x^3-3x=1 has a solution between 1.8 and 1.9. use a trial and improvement method to find this solution. give your answer correct to 2 decimal places.
HELPPPPPP I HAVE BEEN TRYING FOR AGES

Answers

Answer:

1.88 to 2 decimal places

Step-by-step explanation:

First, I plugged in 1.8 and 1.9:

1.8^3-3*1.8=0.432

1.9^3-3*1.9=1.159

Then, I plugged in 1.85:

1.85^3-3*1.85=0.78

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

Hope this helps!

Answer:

Step-by-step explanation:

1.8=-0.568 is too small

1.9=0.159 is too big

1.87=-0.70797 is too small

1.88=0.004672 is too big

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

1.875=-0.033203125 is too small

so it should be 1.88 to 2 decimal places

Tom had $55.85. He bought a shirt for $14.86, pants for $25.88, and socks for $5.76. Explain (using a sentence) how Tom can estimate the amount of money he has left. Then find the estimate. Round your answer to the nearest dollar.
HURRY! I HAVE FINALS :(

Answers

Answer:

$9.35

Step-by-step explanation:

14.86+25.88+5.76=46.5

55.85-46.5=9.35

Answer:

The rounded number would be nine

Step-by-step explanation:

It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps

6(x-3)+10=(3x-4) NEED HELP ASAPP
Answers
#1 no solution
#2 All real answers
#3 3
#4 2

Answers

Answer:

=4/3 or 1 and 1/3

If it is not provided in the answer then put no solution.

Step-by-step explanation:

pls help asap!!!
[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.


description

• 2.5 below sea level

Answers

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

HELP DUE IN 15 MINUETS!!!
y = - 2/3 x + 1 , which is the graph of this equation?

Answers

The y-intercept is 1, the slope is -2/3, so the graph is B, the second one down.
I take a nap buy lol

Please help I will mark branliest

Answers

Answer:

B

Step-by-step explanation:

30x = 30 minutes per day

Answer: D

(I might be wrong btw, srry)

Step-by-step explanation:

A and C aren't possible cause they suggest mintues. In your expression 30 is already the minutes. As for B which is really similar to D, it can't be either because it was only for this one season and not all.

Have a nice day :)

HELP ME PLEASEEEEEE ASAP I REPEAT HELPPP

Answers

Answer:

b

Step-by-step explanation:

denominator(5) stays the same

multiply 2 by 4 since that is 1 fourth of an hour.

So now its 8/5

5 goes into 8 1 time with 3 leftover

So the 1 is a whole number now

the leftover fraction 3/5

=1  3/5

Other Questions
I help plsI dum dum at math Can anyone please help I am struggling with math and Noone wants to help me and I want to learn so does anyone understand HOW u factor this help me in my this plzzz Write 9 paragraphs about happiness. In parallelogram MNPT, MZM - (6x + 10% and m2N - (5x + 10.5. How manydegrees is ZT? Find f (-9) with the given function rule of f(x)= x-3 1) Which diagram shows an element?2) which diagram shows a mixture? 3) which diagram shows a compound?4)which diagram only shows atoms chemically bonded together?5) which diagram shows different atoms of matter physically combined together? Technician A says that the brake pedal should be depressed with as much force as possible during the normal bleeding procedure. Technician B says that the brake pedal should be pumped rapidly during this manual bleeding procedure to force the air down toward the bleeder valve(s). Which technician is correct Use of lubricants increase efficency of machine What does the Nucleolus do? A) Makes ribosomesB) Controls the nucleusC) Controls the cellD) Creates cytoplasm and lipids In the scale used on a blueprint, 12 inch represents 3 feet. On the blueprint what is the length of a room with an actual length of 24 feet? - All10. Theis the use of literary devices such as analogy, irony, mood, or symbolism.moodthemestylenone of thesesetting You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion 1. Check whether the following numbers are in proportion or not:(i) 3, 5, 6, 10(ii) 0.25, 0.5, 50, 100(iii) 3, 412, 6, 923(iv) 412, 113, 214, 23 what is -3(x+6) equal to?HAPPY????? The mouth is a part of what organ system Where did the idea of senate government come from? Make a collage of the hazards of prenatal development? A construction company is repaving a damaged road. So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road. About how many centimeters of the road had they repaved before today? Someone PLZ help ASAP