what are the steps in solving a two-step equation

Answers

Answer 1

Answer:

The key to solving two-step equations is identifying the inverse operations that you need to perform. Thinking of an equivalent expression may help you in this process. Also, be sure to go back and check your solution for accuracy.

Example:

Solve: -18 - x = 22.

Do you know what you would have to do to the equation to solve for x?

Solution:

If we think, "-18 - x" is the same as "-x - 18," we can see that x has been multiplied by -1, and, then, 18 has been subtracted from it. To solve for x, we must undo each of these operations. We add 18, and then divide by -1. Now, let's look at the solution to this equation.

-18 - x = 22 • Original equation.

-18 - x + 18 = 22 + 18 • Add 18 to both sides.

-x = 40 • Complete the addition.

[tex]\frac{-x}{1}[/tex]= [tex]\frac{40}{1}[/tex] • Divide both sides by -1.

x = -40 • Complete the division.

Let's check the solution of -40.

-18 - (-40) = 22 • Substitute the value into the equation in parentheses!

-18 + 40 = 22 • Subtracting a negative is the same as adding a positive.

22 = 22 • Complete the addition.

hope this helps!

Answer 2

Answer:

see above

Step-by-step explanation:

❤️


Related Questions

1. (02.05)
Choose the missing step in the given solution to the inequality -x - 10 > 14 + 2x (1 point).
-X-10 > 14 + 2x
-3x -10 > 14
X<-8
-3x > 24
-3x < 4
-3x > -4
8

Answers

Answer:

-3x > 24

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

rational number?

square root 97square root 98, square root 99, square root 100

Answers

Answer:

square root 97 is 100, square is root 98 is 100, square root 99 is 100, square root 100 is 100

-3.5 x 0.2 = ??
I need help or I’m gonna fail

Answers

Answer: -0.7

Step-by-step explanation:

I hope this helps i don't want you to fail!

Answer:

O.7

Just use a calculator

Hope this helps you

2x+4=2x+5 ( YOU CAN ONLY CHANGE ONE TERM). MAKE THIS EQUATION INFINITELY MANY SOLUTIONS AND ONE SOLUTION

Answers

Answer & Step-by-step explanation:

2x + 4 = 2x + 5

To make this equation have infinitely many solutions, you would change the 5 on the right side of the equation to be a 4. This would cause both the expressions to be exactly the same, changing the solution to be infinitely many solutions. You could also change the 4 on the left side of the equation to be a 5.

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To make the equation have only one solution you would change the 2x on the left (or right) side of the equation to be anything other than 2x. For example, you could change the 2x on the right side of the equation to be 3x, making x equivalent to -1, which means that x only has one solution.

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Hope this helps!!!

State whether each function is a linear function. Write yes or no. Explain. f(x)=5/x+6

Answers

Answer:

yes

Step-by-step explanation:

its in y= mx+b form or f(x)= mx+b

Answer:

No, it is a non linear function.

Step-by-step explanation:

As the equation says:

f(x)=5/x+6

Demonstrating 5 in the numerator and x+6 in the denominator it is not a linear function. This is because the x variable is in the denominator which makes it fail to become a linear function. Have a wonderful dayy!!

-_-  

Write the equation of a line perpendicular to 2x - y = 6 through the point (2, -1) ​

Answers

Answer:

[tex]y = - \frac{1}{2} x[/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

6, 11, 7, 4, 12, 15, 1 what is the median?

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

rearrange the numbers from smallest to greatest then look for the middle number.

step by step explanition for all pleasee

Answers

I'll do the first three problems to get you started

=====================================================

Problem 40

Plug in x = 0 to find the y intercept

x+y = 5

0+y = 5

y = 5 is the y intercept

Plug in y = 0 to find the x intercept

x+y = 5

x+0 = 5

x = 5 is the x intercept

------------

Answer: The x intercept is 5. The y intercept is 5.

=====================================================

Problem 41

Use the same idea here as well

Plug in x = 0 to get

x-y = 5

0-y = 5

-y = 5

y = -5 is the y intercept

Now plug in y = 0 to solve for x

x-y = 5

x-0 = 5

x = 5 is the x intercept

------------

Answer: The x intercept is 5. The y intercept is -5.

=====================================================

Problem 42

Plug in x = 0 and solve for y

3x+4y = 12

3(0)+4y = 12

0+4y = 12

4y = 12

y = 12/4

y = 3 is the y intercept

Plug in y = 0 and solve for x

3x+4y = 12

3x+4(0) = 12

3x+0 = 12

3x = 12

x = 12/3

x = 4 is the x intercept

------------

Answer: The x intercept is 4. The y intercept is 3.

Determine the value of the variables when simplifying and evaluating the expression (302)0 .

What is the value of m in the simplified power?
(302)0= 30m
m =


What is the value of (302)0?

(302)0 =

Answers

Any value that is raised to the power of zero is 1. The value of the expression given in its simplified form is 1

Exponents and functions

Any value that is raised to the power of zero is 1. Given the expression

(30^2)^0

Simplify

30^2 = 900

Substitute into the original function to have:

(30^2)^0 = 900^0
(30^2)^0 = 1

Hence the value of the expression given in its simplified form is 1

Learn more on exponents here: https://brainly.com/question/11975096

7. What Is the volume
of the rectangular
prism shown below

Answers

Greetings! Hope this helps!

Answer

D) 5633.712

__________

13.8 x 12.6 x 32.4

Have a good day!

_______________

A brainliest would help tons! :D

CAN SOMEONE ANSWER THISSS??!?!?!?!! please? i will be putting out a series of problems i need answered and you will get 15 pts each if you answer them fast
1. bassan spent 1 2/5 hours shopping he spent 1/6 of his time buying a birthday present. how much time did bassan spend picking out a birthday present?

Answers

Answer:

5

Step-by-step explanation:

Answer:

30min

Step-by-step explanation:

I need help with #13, with an explanation...please help <3

Answers

Answer:

Step-by-step explanation:

d= c/ pi

multiply both side by pi

d*pi = c

divide by d

pi= c/d

‼️WILL LIST BRAINLIEST ‼️Nick ran 4.8 miles on the treadmill in 0.6 hours. What is the average number of miles he ran per hour?​

Answers

Answer:

4.8 divided by-____ is 8 i think lol

Step-by-step explanation:

Answer:

The average number of miles he ran per house is 8.

Step-by-step explanation:

4.8 divided by 0.6 = 8

a football team's score after the kicker hits a 3-point field goal

Answers

Answer:

8

Step-by-step explanation:

There are approximately 26 billion ounces of a water left in a natural spring, and every year humans consume about 150 million ounces of it. Let V stand for the volume (in millions of ounces) of spring water remaining, and t stand for the number of years since 2018. What linear equations could model the decreasing supply of water in this particular spring?

Answers

Answer:

V(t) = 26,000 - 15t

Step-by-step explanation:

Given the following :

Initial approximate volume of water = 26 billion ounces

Yearly consumption = 150 million ounces

Let V = volume remaining

Linear equation to model decreasing supply of water.

Volume left = Initial volume - consumption

Consumption = 150 million per year

Consumption after t years = 150 million * t

Volume left = 26,000,000,000 - 150,000,000t

V = 26,000,000,000 - 150,000,000t

Divide by 1,000,000

V(t) = 26,000 - 15t

15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains
45% 3/4 inch stone and 32% % inch stone. The balance of the mixture is made up of sand. If the mixture weighs
15,000 pounds before the oil is added, how many pounds of each ingredient are in the mixture?

Answers

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

[tex]0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750[/tex]

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

[tex]32/100 * 15000 =4800[/tex]

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

C. $17.00

Step-by-step explanation:

Simplify 5(x - 6).
05x - 30
0 5x-6
O-X

Answers

Answer:

5x-30

Step-by-step explanation:

Expand. 5x-30

it's 5x-30

Answer:

The answer is 5x-30.

Step-by-step explanation:

Seven times a number is greater than 28.

Answers

Answer:

Inequality would be

7x>28

The answer to the inequality would be

X>4

Step-by-step explanation:

Divide 7 on Both sides

x>4

check

7(5)>28?

35>28☑️

pls help -
Caleb types 100 words in 5 minutes. What is the unit rate? 100 words to 5 minutes 5 minutes per 100 words 20 words per minute 1 minute to 20 words

Answers

Answer:

Unit rate= 20

words per minute/ 0.3

words per second

Step-by-step explanation:

We could work out the unit rate in 2 ways:

Per Minute or Per second.

First we will start of with per minute:

Rate=Word/minute=100/5=20

Answer:

100 words to 5 minutes

                                 

Step-by-step explanation:

describe the difference between a relationship and a function. When explaining the difference, identify the key factor the is use when determining which relationships are a function and which ones are not.

helpp, its due in like 5 min

Answers

Answer:

The main difference between a relation and a function is that a relation is a table in a relational database while a function is a set of statements to perform a specific task in a program.

Step-by-step explanation:

there u go

And sbsbsbs sbsbsbs Ashby’s ha. H56272 abuzz. Sbsbsbs szbzb z sbsbsbs sbsbsbs s slams as

Mateo invested $4100 in a savings account with a yearly interest rate of 5%
for 15 years. How much simple interest did he earn?
A. $205.00
B. $307.50
C. $3075.00
$2050.00

Answers

Answer:

c

Step-by-step explanation:

Write a 5-question quiz for me about special pairs of angles...it can be about vertical angles or corresponding angles (etc) im offering 50 points and will mark you branliest oh! and the test can include ONLY ONE VOCABULARY QUESTION ABOUT ANGLES the rest has to be actual work(but honestly you dont have to do any actual work just make up questions)...plz this is really easy im just lazy....so yeah thxs in advance

Answers

1. How many degrees is a straight angle?

2. Angles whose measure sum up to 180 degrees.

3. Two angles whose sum is 90?

4. What is Adjacent Angles?

5. What is Vertically Opposite Angles?

I hope this helps :) can i get brainiest?

Do you need the answers for the questions ?

Which situation involving Raul’s bank account would be modeled by a positive number?
Raul deposited his paycheck.
Raul wrote a check to his grandmother.
Raul withdrew cash from an ATM.
Raul paid for groceries with his debit card.

Answers

Answer: deposited

Step-by-step explanation:

That means that he put in

Everything is was a withdrawal(taking out)

Answer:

Raul deposited his paycheck.

Step-by-step explanation:

The reason it's 'A' is because when you deposit your paycheck, you are depositing money.

I hope this helps!

Find an
equation for the perpendicular bisector of the line segment whose endpoints
are (-1, -2) and (-5,4).

Answers

Answer:

[tex]y=\frac{2}{3}x+3[/tex]

Step-by-step explanation:

Perpendicular Bisector

It's defined as a line that divides another line into two equal parts. The bisector passes through the midpoint of the line forming any angle, but if that angle is exactly 90°, then the bisector is also perpendicular.

We need to find the equation of the line that divides into equal parts the line with endpoints (-1, -2) and (-5,4) and is perpendicular to it.

First, let's find the slope of the line segment. The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{4-(-2)}{-5-(-1)}=\frac{6}{-4}=-\frac{3}{2}[/tex]

The line for the perpendicular bisector has a slope m2. Two perpendicular lines with slopes m1 and m2 must comply:

[tex]m_1.m_2=-1[/tex]

Solving for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

[tex]\displaystyle m_2=-\frac{1}{-\frac{3}{2}}=\frac{2}{3}[/tex]

The equation of the perpendicular bisector has the form:

[tex]y=\frac{2}{3}x+b[/tex]

Now we find the coordinates of the midpoint of the segment:

[tex]\displaystyle \bar x=\frac{-1-5}{2}=-3[/tex]

[tex]\displaystyle \bar y=\frac{4-2}{2}=1[/tex]

The midpoint is (-3,1). Using this point will allow us to find the value of b:

[tex]1=\frac{2}{3}(-3)+b[/tex]

[tex]b=1+2=3[/tex]

Thus, the equation for the perpendicular bisector is

[tex]\boxed{y=\frac{2}{3}x+3}[/tex]

What can you double and then add 5 to get 13?

Answers

4 because 4+4=8 and there are so many examples too

Use the reciprocal property to solve for y: 15/y = 20/10

Answers

Answer:

15/2

Step-by-step explanation:

15/y = 20/10

Cross multiply

150=20y

y=15/2

The value of y will be;

⇒ y = 7.5

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 15 / y = 20 / 10

Now,

Solve the expression for y by using reciprocal property as;

The expression is,

⇒ 15 / y = 20 / 10

Apply reciprocal property;

⇒ y / 15 = 10 / 20

⇒ y = 15 × 10/20

⇒ y = 15 × 1/2

⇒ y = 7.5

Thus, The value of y will be;

⇒ y = 7.5

Learn more about the reciprocal visit:

https://brainly.com/question/15791951

#SPJ2

Find the image of (2,7) after a reflection over the x-axis

Answers

Answer:

(2, -7)

Step-by-step explanation:

The reflecting over the x axis changes the y coordinate to its opposite.

*Hope this helped!! Have a nice day! : )*


A square box lid has an area of 40 square inches. Which is the best estimate of the length of one side?

Answers

Answer:

10 OR 8

Step-by-step explanation:

Area is length times width, so with that being said you could say 10 times 4 is 40 or you can say 8 times 5 is 40

Pan make $500 each week. She puts 20% of her weekly paycheck in savings. How many does she put in savings each week

Answers

Answer:

100$

Step-by-step explanation:

20 %of 500 =20×500:100 =10.000 :100 =100$

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