What is the first step to solve the following system of equations using substitution?
X-y=-1
2x-y=3
A.) Solve the first equation for x.
B.) Divide the second equation by 2.
C.) Multiply the first equation by 2.
D.) Add the two equations together.

Answers

Answer 1

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

[tex]x = 4, y = 5[/tex]

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

[tex]x - y = -1[/tex]

[tex]2x - y = 3[/tex]

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

[tex]x-y=-1[/tex]

Add y to both sides

[tex]x-y+y=-1+y[/tex]

[tex]x=-1+y[/tex]

Thus, option A) is true.

NOW LET US SOLVE THE REMAINING PORTION

[tex]\mathrm{Subsititute\:}x=-1+y[/tex] to solve for y

[tex]\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}[/tex]

[tex]-2+y=3[/tex]

[tex]y=5[/tex]

For x = -1 + y

substitute y = 5

[tex]x=-1+5[/tex]

[tex]x=4[/tex]

Thus, the solution to the system of equations be:

[tex]x = 4, y = 5[/tex]


Related Questions

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction

Answers

Answer:

11/120

Step-by-step explanation:

Red = 3Yellow = 5Blue = 2

Possible options would be red or yellow as only two blue marbles.

Probability of 3 red:

3/10*2/9*1/8 = 1/120

Probability of 3 yellow:

5/10*4/9*3/8 = 1/12

Probability of same three is:

1/120 + 1/12 = 11/120

What is 1 ten of 100

Answers

Answer:

It's 10

Step-by-step explanation:

The $99.99 digital camera Mia purchased was on sale for 15% off. What
amount did Mia get off the price?

Answers

Answer:

84.99

Step-by-step explanation:

1 + 3 - (8 * 334 * 123) = x

x = ?

Answers

Answer:

if, 1 + 3 - (8 * 334 * 123) = x

then, x = -328652

A bowl holds 4 cups of rice if I use a measuring cup that holds 1/8 of a cup how many times will I need to fill the measuring cup in order to fill the entire bowl

Answers

Answer:

32 times

Step-by-step explanation:

It's SUPER easy, all you have to do is take that 1/8 and make it into a regular 8. Now all you do is multiply 4 by 8.

I know there's probably some way the teachers taught that's so much harder then it already is, but if you try to look at it from an easier perspective, you'll be a pro!

Try some more so you'll slowly start getting better at them! Anyway I hope this helped!!

Order of Operations with and without variables

Answers

Answer:

Step-by-step explanation

8(-1)^4-3(-1)-7= ?

multiply 8 * -1= -8

so -8^4= 4096 that part is done.

now do -3 * -1 and get 3 because two neg. = posit.

so now the question should say

4096+3-7=?

4096+3= 4099-7= 4092

x=4092 i think unless that isnt what you are doing im srry if this is incorrect i tryed and i hope this is correct...again im srry if this is incorrect

Answer:

4

Step-by-step explanation:

8(-1)^4=8

-3(-1)=3

8+3-7=4

Could someone help me with this question?

Answers

Answer: thats correct

Step-by-step explanation:

That’s correct look at their work schedule


Meg ate 3/8 pound of blueberries. Jon ate 7/8 pound of blueberries. How many more pounds did Jon eat than
Meg?




Please help me

Answers

Answer:

4/8 more pounds

Step-by-step explanation:

7/8-3/8=4/8

Answer:

Jon ate 5/8 more pounds of blueberries than Meg.

Step-by-step explanation:

This is because the question is asking for the difference between how many blueberries Meg ate, and how many Jon ate. Therefore, we have to use subtraction.

7/8 - 3/8 = 5/8, therefore Jon ate 5/8 lb more than Meg.

A bakery sells 12 cookies for $24.If each cookie costs the same amount,how much does 1 cookie cost,in dollars?

Answers

Each cookie costs 2$.

We can find how much each cookie costs by setting up an equation with x being the amount of cookies, and solve

12x=24     12 cookies equals 24 dollars

x=2            By simplifying and dividing both sides of the equation by 12, we get the variable on its own.

The price of one cookies in the bakery is found as $2.

What is the meaning of division?

Each component of a division equation has its own name.

Dividend: A dividend is just the number divided during the division process.Divisor: The divisor is the number using which the dividend is divided.Quotient: A quotient is an outcome of the division process.Remainder: We can't always divide things exactly. There could be an extra number. The leftover number is known as the remainder.

For the given question.

The cost of 12 cookies in a bakery is $24.

The cost of each cookie is same.

To find the price of each cookie divide the total amount by number of cookies.

Price of one cookie = 24/12

Price of one cookie = $2

Thus, the price of one cookies in the bakery is found as $2.

To know more about the division, here

https://brainly.com/question/25289437

#SPJ2

w+70 = 1
---------
5

Answers

Answer:

69?

Step-by-step explanation:

plzzzzzzz help 20 points

Answers

Answer:

8.15

Step-by-step explanation:

Answer:

8.15

Step-by-step explanation:

Please help!! I just need help with question 40!!

Answers

Answer:

a. 70%

b. 6 more times

c. subtract from 100% with percentages, subtract from 1 with decimals.

Step-by-step explanation:

a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26%     0.04 > 4%

Add all of the percentages together to get 70%

b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.

0.26 ÷ 0.04

26 ÷ 4

6

c. 14% + 26% + 40% + 4% = 84%

100% - 84%

16%

(do the same thing with decimals and pick your favorite method)

:)

according to survey conducted by the texas free press,125 out of 500 people do nat have internet access at their homes.what percent of the people surveyed do nat have internet access at internet at their homed​

Answers

Answer:

25%

Step-by-step explanation:

125:500

               divide by 5 to make 500 into 100

25:100

             convert to percent

25%

Please help me asap I don't understand this!!

Answers

Answer:

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

Step-by-step explanation:

Given

The attachment

Required

Express the area as a sum of stores and parking lots

First, calculate the area of the stores

[tex]Store\ A = 25\ by\ 10[/tex]

[tex]Store\ B = 25\ by\ w[/tex]

[tex]Stores\ A\ and\ B = 25\ by\ 10 + w[/tex]

The area is then calculated as:

[tex]A_1 = 25 * (10 + w)[/tex]

Next, calculate the area of the parking lots

From the attachment, we have the following

[tex]Parking\ lot\ A = 13.5\ by\ 10[/tex]

[tex]Parking\ lot\ B = 13.5\ by\ w[/tex]

[tex]Parking\ lots\ A\ and\ B = 13.5\ by\ 10 + w[/tex]

The area is then calculated as:

[tex]A_2 = 13.5 * (10 + w)[/tex]

The area of the shopping centre is then calculated as:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

A punch recipe calls for 1/2 gallon of ginger ale, 1/2 qt of
lemonade, and 8 cups of cherry punch. How many pints
of liquid ingredients does the recipe

Answers

Answer: 14

Step-by-step explanation:

1/2 gallon =2 quarts, so add the 2 quarts and the 1 quart of ginger ale, plus the one pint of lemonade and this makes 14 cups of punch

Hellllpppppppppppppppppppp plz

Answers

Answer:

It is an alternate angle

a circle has a diameter of 14 cm. find its circumference. use 3.14 for pi

Answers

Answer:

C= d pi  14(3.14)

Step-by-step explanation:

Cirumference = diamter x pi

14(3.14)= 43.96cm

.
A Survivorship Life Insurance Plan insures how many people under one plan?

Answers

Answer:

the whole world

Step-by-step explanation:

Write an equation of the line below

Answers

Answer:

The equation of the line is:

[tex]y = 4x + 3[/tex]

Step-by-step explanation:

We know that the slope-intercept of line equation is

[tex]y = mx+b[/tex]

Where m is the slope and b is the y-intercept

Given the two points on a line

(0, 3)(-2, -5)

Finding the slope between (0, 3) and (-2, -5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)[/tex]

[tex]m=\frac{-5-3}{-2-0}[/tex]

[tex]m=4[/tex]

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]y = 4x + 3[/tex]

Therefore, the equation of the line is:

[tex]y = 4x + 3[/tex]

What is the equation of the line that passes through the points (-4, 2) and (12, 6)?​

Answers

Answer:

y=1/4x+3

Step-by-step explanation:

Is 12n+60 equivalent to (n + 12) x 5 + 7n

Answers

Answer: 12n + 60

Step-by-step explanation:

So first you have to distribute the 5 in the parentheses.

(5)(n + 12) = 5n + 60

5n + 60 + 7n

Then add like terms.

12n + 60

1. Find the point that is a solution for y = 6x + 8
A. (2, 1)
B. (-1,2)
C. (2,4)
D.(-2,4)
Help plz fast.

Answers

An easy way to solve this equation is to plug in the coordinates.

A. 6(2) + 8 ≠ 1

✅ B. 6(-1) + 8 = 2

C. 6(2) + 8 ≠ 4

D. 6(-2) + 8 ≠ 4

Find the values of the variables in each right triangle.​

Answers

Answer:

x = 12

y = 16

Step-by-step explanation:

Use the Pythagoras Theorem on the left triangle.

[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(x)^2=(7.2)^2+(9.6)^2\\x^2=51.84+92.16\\x^2=144\\x=\sqrt{144}\\x=12\\[/tex]

Now use the Pythagoras Theorem on the right triangle.

[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(y)^2=(12.8)^2+(9.6)^2\\y^2=163.84+92.16\\y^2=256\\y=\sqrt{256}\\y=16\\[/tex]

13.
WRITE Math Write a word problem that involves two fractions.
Include the solution.
Please help fast

Answers

Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?

1 and4/15

Step-by-step explanation:

Please help me on this question

Answers

Answer:

g(f(x)) = x² + 6x + 9

General Formulas and Concepts:

Algebra I

Composite FunctionsCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² + 6x + 7

g(x) = x + 2

g(f(x)) is x = f(x)

Step 2: Find g(f(x))

Substitute:                     g(f(x)) = (x² + 6x + 7) + 2Combine like terms:     g(f(x)) = x² + 6x + 9

A model train is in a 3 inches to 80 inches scale. If the model door is 4 inches how tall is the real train door?

Answers

Answer:

80

Step-by-step explanation:

8. Which equation matches the model?


A 5 X 0.18 = 0.9
B 5 X 0.18 = 90
C 5 x 0.18 = 9.0
D 5 X 0.18 = 0.09

Answers

It’s A because there all .18 and .18 x 5 is .9

PLEASE HELP!! DUE TODAY!!!!!

Answers

Answer:

i'm not good at algebra but i think it's  5

Step-by-step explanation:

Solve the inequality for x.
–3x + 6 > 48
A) x –14
D) x > –18

Answers

A) x -14

Hope this helps!! :)

Jerry has 20 meters of rope. Using estimation, approximately how many feet of rope does Jerry have if 1 meter= 3.28feet

Answers

Answer:

65.6

Step-by-step explanation: 3.28ft times 20 (the length of how many meters) is 65.6

Answer:

65.5

Step-by-step explanation:

estamaite

Other Questions
Can someone plz help- SOMEONE PLEASE HELP ME Instrucciones: Ayuda a Agudn a colocar el acento grfico en todas estas palabras agudas. Tienes la slaba tnica subrayada.accion - 2. reloj - 3. pan - 4. sarten - 5. amar - 6. lombriz - 7. Peru - 8. viviras- 9. segun - 10. bidel - 11. ingles - 12. andaluz - 13. sofa - 14. ven - 15. tentempie - 16. pie - 17. ladron - 18. verdad - 19. jamas - 20. bebe There are some pencils and erasers in abox. If there are 12 pencils and the ratioof pencils to erasers is 3:2, how manyerasers are in the box? Which of the following statements best describes the relationship between the elements phosphorus (P), arsenic (As) and bismuth (Bi)? A. The elements are in the same period because they have the same numbers of energy levels, but different reactivity.B. The elements are in the same group because they have the same numbers of energy levels, but different reactivity.C. The elements are in the same period because they have similar reactivity and the same number of valence electrons.D. The elements are in the same group because they have similar reactivity and the same number of valence electrons. Any help please I gladly appreciate it!!! Find the y-value given the x-value: y = 2x + 10; x = 4*y = 2x + 10; = 4 The __________ industry brings in a lot of money for many Middle Eastern countries, but is also harmful to their environments. A.agriculturalB.fishingC.miningD.oil w=2xyz solve for y!!!!!!!! For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number. Can someone help me please? Thealso known as the womb, is a pear-shaped organ thatcan hold a baby. *UterusFallopian TubeVaginaCervix 1000-322divided by 72% of 21983 photo attached, what structures are A-F please help watch out for hihisusume that will answer your question and not actually give an answer that are only doing it so they can get the points Which of the following correctly represents the areas controlled by European countries on the map? You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign. Why do scientists believe that a human can more quickly crack the code for protein design than a computer? As a conservative, who did Nixon appeal to? *A-Liberals who supported the Great Society programs.B-Civil Rights activists who sought to advance integration demands for equality.C-The New Left and student activists who challenged the government to take moreradical steps to improve race relations and end the war in Vietnam.D- A "Silent Majority" who resented the tension of the 1960s social change andmissed the "simplicity" of the 1950s. write a letter to your friend describing him/her about your country nepalGuys plz help me with this question write a letter about nepal. If u guys help me with this question i will make you brainliest and give 25 points. But its so urgent so plz do it fast. in mrs. smiths class every time you turn in assignments you earn 1 homework pass. write 3 equivalent ratios of turned in assignments to homework passeshelp please I need it