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

PLEASE HELP!! DUE TODAY!!!!!

Answers

Answer:

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

Step-by-step explanation:

Could someone help me with this question?

Answers

Answer: thats correct

Step-by-step explanation:

That’s correct look at their work schedule

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]

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%

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

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

What is 1 ten of 100

Answers

Answer:

It's 10

Step-by-step explanation:

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

Answers

Answer:

69?

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

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

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

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:

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:

plzzzzzzz help 20 points

Answers

Answer:

8.15

Step-by-step explanation:

Answer:

8.15

Step-by-step explanation:

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

x = ?

Answers

Answer:

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

then, x = -328652

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]

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

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

Answers

Answer:

the whole world

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)

:)

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:

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


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.

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:

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

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

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

Answers

A) x -14

Hope this helps!! :)

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

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