I Need A Step By Step Explanation On How You Solved The Equation. Use Substitution To Solve The System (2024)

Mathematics Middle School


Answer 1

Answer: x=3 and y=−2

Step-by-step explanation:


Step: Solve x=−2y−1 for x:

Step: Substitute−2y−1 for x in 4x−4y=20:



−12y−4=20(Simplify both sides of the equation)

−12y−4+4=20+4(Add 4 to both sides)







(Divide both sides by -12)


Step: Substitute−2 for y x=−2y−1:



x=3(Simplify both sides of the equation)

Related Questions

Please help with a khan academyyy


Letter A because when yu solve the equation it’s -6q-6-4q which when yu add like terms equal -2q-6 and it’s equivalent to -6+4q+(-6q) because they both equal the same thing

PLS HELP!! Let's say you are borrowing $5000 from the bank to purchase a donkey named Don. The annual (one year) interest rate for the donkey is 4.4%. How much will you be paying in interest for Don?




Step-by-step explanation:

220 is the answer i believe!!

45% of ____ is 396
what is the blank?


Answer: 880. Divide .45 from 396 to get 880.




45 x 396



A survey asked 200 Grade 4 students about their reading preferences. Based on the Graph, how many of them would you expect to prefer comic books?

A. 10

B. 20

C. 60

D. 80

E. 100


C was the correct answer, hope this is help for y’all ;3

Based on the Graph, 10 would you expect to prefer comic books. So, the correct option is A.

What is Graph?

A graph is a framework made up of a number of things, some of which are paired together to form "related" objects. The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

The link between arcs and points is described by a graph, which is a mathematical description of a network. A graph is made up of certain locations and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph. Based on the given Graph, 10 would you expect to prefer comic books.

Therefore, the correct option is A.

Learn more about Graph, here:






359 is your answer

Step-by-step explanation:

Have a good day ;-)



Step-by-step explanation:

you have a shelf that holds 15 1/2 pounds how many 1 1/4 pound books can the shelf hold


What the person above said

Select the choice that represents: A number increased by 36 equals 52. *
A n + 36
B n + 36 = 52
C n - 36 =52
D 36 -n=52


B and unfortunately I have no idea how to explain it

please help i need help really bad


the answer is 108 degrees

A map has scale of 1.5 inches =9 miles. On the map, two towns are 4 inches apart. What distance, in miles, between the two town?



the answer is 24 miles.

Step-by-step explanation:

Penis penis penis 24 miles lol

whats the answer to this question




Step-by-step explanation:

The thing you have to do is just read the graph


B. (6,6)

I did it before

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?

Total Interest = $__________

What is Tarah's new total balance?

New Balance Total = $__________




Step-by-step explanation:

Initial balance in the savings account = $359

Interest rate = 8%

you already have your answer, but i hope you’re having a great day!! :)

At the store, you buy x computer games for $13 each and a magazine for $4. Write an expression in simplest form that represents the total amount of money you spend.

asap i will give brianlist



13g + 4m = D


g=number of computer games

m=number of magazines

D=$ spent

hope this work

If I'm wrong I'm so sorry

If I'm right Thank you (Brainliest plz)

If the lowest temperature in Whitesboro for the week was -1°F and the highest temperature was 20°F, what was the total change in temperature?

Will give brainliest!!


Answer: The total change is 21.

Since you want to find the change from the lowest to highest, make it into a subtraction problem. First of all, take the smallest number in front of the largest.

20 -1

Next, add a minus sign in between, your equation should look like this:

20 - (-1) = x

Then, you cancel out the negative signs. After that you solve it

20 - (-1) -> 20 + 1.

Lastly, you add them together.

20 + 1 = 21.

In conclusion, the answer is 21.



Step-by-step explanation:

It went from -1 to 20

[-1]= 1



it went up or down 21°F



ϞϞノ -- -- 乀 •⃠

Monica got a $4,500 car loan, to be paid in 3 years. The interest rate is 5%. What will the interest rate is 5%. What will the interest be at the end of 3 years? What is the total she will need to pay back?




Step-by-step explanation:

I don’t know look it up sorry



I'm sorry I can't see it, it is blocked.

Answer: yes and then no

Step-by-step explanation:

An angle measuring 113° is rotated 180 degrees clockwise. What is the measure of the angle after the rotation?


Answer: 293 degrees

Step-by-step explanation:

113+180=293 degrees


293 i took the test its correct

Step-by-step explanation:

can someone help me with this problem y≤ 1±10


This is y is less than or equal to 11.

Because 1+10 equals 11 and that symbol is the less than or equal to symbol. So we know, y has to be less than or equal to 11! Hope this helps!

The graph shows the distance, y, that a car traveled in x hours: A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting ordered pairs 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Travel. What is the rate of change for the relationship represented in the graph? fraction 1 over 50 fraction 1 over 25 25 50



I would say the answer would be y=25x

Step-by-step explanation:

Y=35x as in you increase 35 every time you go up on the graph



Step-by-step explanation:


Which transformation did Benjamin use to create the pattern?



reflections and rotations

reflections and translations


B.translation should be your answer (:

It’s. B. Translations

To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoff’s sales total for the week?


10% commission on his total sales at work

Emmy read a total of 28 books over 4 months. After belonging to the book club for 7 months, how many books will Emmy have read in all? Assume the relationship is directly proportional.


28 divided by 4=7 so you can figure out how many books she reads each month.Then multiply 7 by 7 because she reads for 7 months and you get 49 books read

A park charges $7.50 per hour to rent a bike. The table shows the relationship between the number of hours, h, and the total cost, c. With the information in the table, which expression can be used to find c?

A. [tex]\frac{7.50}{}[/tex]
B. + 13
C. - 15
D. 7.50




divide both sides by 7.5



Step-by-step explanation:


Step-by-step explanation:

C=7.5 hours

Break all sides of 7.5


H = 7.5 h

Which of the following equations shows a proportional function? A y = x + 3 B y = 2x − 1 C y = x − 2 D y = 4x



A or B

Step-by-step explanation:

A function is output = constant •/+/-/÷ input. In any function, the amount of one quantity is dependent on the amount of another.




y=4.5x+22 (4.5 goes in first box, 22 goes in second box).

Step-by-step explanation:

For starters, you can use that line in the middle, a.k.a. the line of best fit, to help set up your equation.

The equation is in slope-intercept (y=mx+b) form, where m is slope and b is y-intercept.

From the given numbers and the graph, it looks like the y-intercept is about 22 so you can drag the 22 in the last box, where the 'b' should be. your equation is now y=mx+22.

For the slope, just calculate rise over run. I've counted and gotten about 9/2, which equals 4.5 (which is in the choices), which is your slope.

Your final equation is now y=4.5x+22. Hope this helps.

5 ÷ 3/10

Please give me an answer and a answer in fraction form

If you can i need an explanation also.
Thank you


1 5/8 just use a calculator

Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding and carpet in the region shown in the figure. What is the total cost of the carpet and padding needed to exactly cover the room?



$1679.175 or $1679.18

Step-by-step explanation:

split the carpet into rectangles to make it easier to look at

one rectangle is 2 yards in height and 9 yards in width (5 yards plus 4 yards)

area of a rectangle = (w)(h), so 9 x 2 = 18 yards in area.

second triangle is 4 yards in width, and 3 yards in height.

area of a rectangle = (w)(h), so 4 x 3 = 12 yards in area.

Total area = 30 yards

30(21.95)(2.55) = $1679.175 or $1679.18

Answer: $735

Step-by-step explanation: Hi hawang0604, i still have more questions i need help with.

if each dimension of a unit cube is increased by 1. what is the ratio between the surface area of the new cube to that of the original



4:1 or 4/1

Step-by-step explanation:

Original surface area: Each side is 1 * 1 = 1 and there are 6 sides, so 1 * 6 = 6.

New surface area: Each side is 2*2 = 4, and there are 6 sides, so 4 * 6 = 24

The ratio would be 24:6, or 4:1. As a fraction, this would be 4/1

4/1 ^ yea he’s right I remember this

Help me with this- ILL GIVE BRANILEST


1) 12 ounces of water to one packet of flavoring

2) 5 = 60, 7 = 84, 10 = 120, 12 = 144

4) 23 x 12 = 276 ounces of water

1) 12 ounces of water to one packet of flavouring
2) 5 = 607 = 84, 10 = 120, 12 =144 4) 23*12=276 ounces of water

here, take some dino nuggies.


Thanks bro I really needed that


Did yall eat them all yet?

Step-by-step explanation:

You decide to open a small business in the Bronx. You borrow $15,000 from the bank at an annual interest rate of 7% for 24 months. What is the amount of interest you will pay on this loan?



$2,100 interest

Step-by-step explanation:

15,000×7% = 1,050

1,050×2 = 2,100


15000x2x7/100 = 210

Step-by-step explanation:

I Need A Step By Step Explanation On How You Solved The Equation. Use Substitution To Solve The System (2024)


How to solve a system of equations step by step? ›

To Solve a System of Equations by Elimination
  1. Write both equations in standard form. ...
  2. Make the coefficients of one variable opposites. ...
  3. Add the equations resulting from Step 2 to eliminate one variable.
  4. Solve for the remaining variable.
  5. Substitute the solution from Step 4 into one of the original equations.

What is the solution of solve by substitution method? ›

The three simple steps for the substitution method are given below: Find the value of any one variable from any of the equations in terms of the other variable. Substitute it in the other equation and solve. Substitute the value of the second variable again in any of the equations.

What could be the first step if you want to solve this system using substitution? ›

Here's how it goes:
  1. Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for ‍ : ...
  2. Step 2: Substitute that equation into the other equation, and solve for ‍ . ...
  3. Step 3: Substitute ‍ into one of the original equations, and solve for ‍ .

How to solve linear equations step by step? ›

The steps for solving linear equations are:
  1. Simplify both sides of the equation and combine all same-side like terms.
  2. Combine opposite-side like terms to obtain the variable term on one side of the equal sign and the constant term on the other.
  3. Divide or multiply as needed to isolate the variable.
  4. Check the answer.
Oct 6, 2021

Why do we use the substitution method? ›

The effective use of substitution depends on two things: first, given a situation in which variables occur, a substitution is nothing more than a change of variable; second, it is only effective if the change of variable simplifies the situation and, hopefully, enables one to solve the simplified problem.

What is an example of substitution method equation? ›

The goal of the substitution method is to rewrite one of the equations in terms of a single variable. Equation B tells us that x=y+5, so it makes sense to substitute that y+5 into Equation A for x. Substitute y+5 into Equation A for x and you get y+(y+5)=3.

What is an example of substitution? ›

Examples of substitution in a Sentence

I'd prefer rice with my steak instead of potatoes, but the menu says “no substitutions.” Substitution of applesauce for oil is one way of reducing the fat in recipes. The cookbook has a long list of substitutions for ingredients that may be hard to find.

What is problem solving by substitution? ›

In problem-solving by substitution, mathematical operators are substituted with symbols. This exercise checks the candidate's ability to rewire their brain and improvise to solve problems. A convenient method to solve such problems is to create a mental map of such symbols.

How do you explain substitution in systems of equations? ›

When solving a system of equations using substitution, you can isolate one variable and substitute it with an expression from another equation. This will allow you to solve for one variable, which you can then use to solve for the other. Created by Sal Khan and Monterey Institute for Technology and Education.

Which method is easier, substitution or elimination? ›

To sum up, substitution works in all the cases you'll encounter, while elimination only works for linear cases, but elimination tends to make life easier when it works. So if it looks linear, use elimination, but if it looks non-linear (or you're really confident you can isolate one variable easily) use substitution.

What is a substitute in math? ›

Substitution is the name given to the process of swapping an algebraic letter for its value. Consider the expression 8 + 4. This can take on a range of values depending on what number actually is. If we are told = 5, we can work out the value of the expression by swapping the for the number 5.

How do you substitute systems of equations in word problems? ›

Step 1: Define your variables. Step 2: Write equations with the variables that represent the scenario in the word problem. Step 3: Pick one of the equations and solve it for one of the variables in terms of the other variable. Step 4: Substitute the result from step 3 into the so-far-unused equation.

How does the substitution method work for solving a two order system of equations? ›

Expert-Verified Answer

The first step is to set one of the equation equal to x or y. Then substitute this value into the other equation to find the value of the other variable. Finally, put the value obtained into the relation taken at the start.


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