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

question is in png pls some1 help.

Answers

Answer:

They r both 60°

Step-by-step explanation:

By the transversal lines law x=y

And by the parallelograms law x=60°

I hope I helped pls give me brainliest

LAST ONE, GET IT RIGHT PLS.. IF U DONT ITS OK

NOW MY POINTS ARE GONE>> USE WISLY

Answers

Answer:

I think that it is the first one and the third one.....

I hope that it is correct, I tried helping you get it correct

This, is as far as I go. Goodluck with the rest man. Let me know if you need more assistance. :)

If bananas cost $0.45 each, how much will 9 bananas cost in all

Answers

Answer:

$4.05

Step-by-step explanation:

0.45 x 9 = 4.05

Answer:

$4.05

Step-by-step explanation:

1 banana = $0.45

9 bananas = $0.45 × 9

                 = $4.05

please please please help me i’ll mark brainliest

Answers

Given:

The graph of a function f(x).

To find:

The solution set for f(x)>0 and f(x)≤0.

Solution:

From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.

The graph is above the x-axis before -4 and between -3 and -2.

So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].

The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.

So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].

Help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D is the correct answer

Step-by-step explanation:

hope it helps

have a great day

:)

A farmer takes 1 week to fill 5 bins of squash. At this​ rate, how long will it take to fill 350 bin​s?

Answers

Answer:

490 days or 70 weeks

Step-by-step explanation:

Time needed for the farmer to fill 1 bin of squash:

7 days (1 week) divided by 5 = 7/5 days

Time needed to fill 350 bins:

350 x 7/5 days = 490 days or 70 weeks

6. Slope =
Y-Intercept
Equation in slope-intercept form:

Answers

Slope = 0.5x
Y intercept = 1
Equation: 0.5x +1

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What could be the coordinates of the other two vertices of the rectangle?

A. (4, 12) and (–1, 12)
B. (–1, 1) and (4, 1)
C. (4, 6) and (–1, 6)
D. (4, 7) and (–1, 7)

Answers

Step-by-step explanation:

I have read about this in my class

Answer:

ITS a.

Step-by-step explanation:

Write the decimal equivalent
Two hundred and thirty-four hundredths

Answers

200.34

Two hundred = 200
34 hundredths = 0.34 (34/100)
AND means add
200.34 if you take all of the numbers break them and down and turn them into a decimal

find the slope of the line from the values in the table. Explain your steps.​

Answers

Answer:

3

Step-by-step explanation:

Using any two pairs from the table if values, say, (5, 16) and (7, 22), the slope of the line is the change in y over change in x.

Thus:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (5, 16) = (x_1, y_1) [/tex]

[tex] (7, 22) = (x_2, y_2) [/tex]

Plug in the values

[tex] slope (m) = \frac{22 - 16}{7 - 5} = \frac{6}{2} = 3 [/tex].

Slope of the line is 3.

find the lowest common multiple (LCM) of 15 and 30.

A) 5
B) 15
C)30
D)60​

Answers

Answer:

L.C.M of 15 and 30 is 30.

22% of 152




HELP WHATS THE ANSWER

Answers

Answer:

14.47

Step-by-step explanation:

What is 6/7 divided by 2/7

Answers

Answer:

3

Step-by-step explanation:

6/7 divided by 2/7

=

6/7 divide 7/2 (cancel out 7)

=

6 multiply 1/2 (reduce)

=

3

If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

1 ft

36 ft

45 ft

56.25 ft

Answers

Answer:

36 feet

Step-by-step explanation:

I believe this is the answer

12 hungry friends see 8 cupcakes sitting b.
on the table. If they split the cupcakes
equally, how many does friend each get?
12 other friends are told they can eat 0.8 cupcakes each. How many total cupcakes do these 12 friends eat?

I already got the answer for the first question, but i only want to know how to do the next question, I do NOT want the answer. Thanks!

Answers

1: 1/2 cupcakes
2: I’m in middle school so uhm-

Answer: a. 1 1/2   b. 9.6

Step-by-step explanation:

Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p).​

Answers

Answer:

3(4+n)

Step-by-step explanation:

what is the value of 5w if w=6​

Answers

Answer:

30

Step-by-step explanation:

5 x 6

F = xi+yj+2zk and σ is the portion of the cone z=x2+y2−−−−−−√ between the planes z=4 and z=5 oriented with normal vectors pointing upwards. Find the flux of the flow field F across σ

Answers

there is no question for me to answer

Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]

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

Answers

Answer:

Option A: (5,0)

Step-by-step explanation:

Given

[tex]y \leq \frac{2}{5}x-2[/tex]

Required

Select an ordered pair

Option A: (5,0)

This means

[tex]x = 5[/tex] [tex]y = 0[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]

[tex]0 \leq 2 - 2[/tex]

[tex]0 \leq 0[/tex]

This is a true statement.

Option B: (0,5)

This means

[tex]x = 0[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* 0 -2[/tex]

[tex]5 \leq 0 -2[/tex]

[tex]5 \leq -2[/tex]

This is a false statement.

Option C: (-2,5)

This means

[tex]x=-2[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* -2 -2[/tex]

[tex]5 \leq \frac{-4}{5} -2[/tex]

[tex]5 \leq \frac{-4-10}{5}[/tex]

[tex]5 \leq \frac{-14}{5}[/tex]

[tex]5 \leq -2.8[/tex]

This is a false statement.

Option D: (-5,2)

This means

[tex]x=-5[/tex]   [tex]y = 2[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]2 \leq \frac{2}{5}* -5 -2[/tex]

[tex]2 \leq -2 -2[/tex]

[tex]2 \leq -4[/tex]

This is a false statement.

Only option A represents a true statement,

Hence, option A is a solution to the inequality

Choose all the expressions that are equal to 5/9 multiply 8

Answers

Answer:

4.44

Step-by-step explanation:

the real answer is 4.44444444444

Clyde took a survey to see the favorite pizza topping of his 6th grade classmates.
Topping
pepperoni
sausage
onions
cheese
Number of Students
45
36
9
16
What is the ratio of students who prefer sausage to students who prefer pepperoni?
O 1:2
O 2:3
O 3:4
04:5

Answers

I’m pretty sure it’s 3:4 Correct me if I’m wrong

Appliances at Discount City Store are on sale for 55% off of the original price. If the original price of a washing machine is $500, what does it cost after being reduced by 55% (before tax)?

Answers

Answer:

it will cost $255.

Step-by-step explanation:

225.

a product that normally costs $500 with a 55 percent discount will cost you $225.00, and you saved $275.00. You can also calculate how much you save by simply moving the period in 55.00 percent two spaces to the left, and then multiply the result by $500 as follows: $500 x . 55 = $275.00 savings.

Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded monthly. If Cooper does not deposit or withdraw any money from the account, how much will be in the account in 25 years

Answers

Answer:

After 25 years, Cooper will have $29,093.01 in his savings account.

Step-by-step explanation:

While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:

X = 20,000 (1 + 0.015 / 12) 25x12

X = 29,093.01

Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.

Help me please *an image is attached*

Answers

Answer:

the height it is at is 95 meters

the answer is y=mx+b so plug in 37 and 12

In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of -1.
What is the x-intercept you are using?
What is the y-intercept you are using?
Show what you did to prove the slope is -1

Answers

Answer:

Step-by-step explanation:

Proof:

If:

x intercept is at a number nonzero "a"

so the point where it intersects the x-axis is at (a,0)

y-intercept is at the same nonzeronumber "a"

so the point where it intersects the y-axis is at (0,a)

Then:

slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1

x intercept is 2 (for example)

so the point where it intersects the x-axis is at (2,0)

y-intercept is 2

so the point where it intersects the y-axis is at (0,2)

slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1

I need answer pls, PLS

Answers

Answer:

The answer is 17

Step-by-step explanation:

First step is dividing 45÷9 = 5

Then, 2² = 4

Now you have: 4 × 5 - 3 => 20 - 3 => 17

Answer: 17

Step-by-step explanation:

PEMDAS

45÷9=5 2×2=4 4×5=20 20-3=17

What is the slope of this graph ?

Answers

Answer:

5/2

Step-by-step explanation:

rise/run. the graph rises 5 and over 2 to the next point

Answer: -5/2

*I used the slope formula too just to make sure*

A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

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

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]
Other Questions
Please help me........ Fill in the blank: The Koran is to Islam as ______ is to Christianity. A tuple is immutable. What does that mean?O Atuple can be moved after it is created.O Atuple cannot be changed once it is created.A tuple can be changed after it is created.O Atuple cannot be moved once it is created. Find the quotient 3/5 divided by 8 Solve the inequality22 + 4x - 32 < 0 Within a major, students can choose to study a specific area within thatmajor. For example, a journalism student may study military journalism orbusiness journalism. This specific area is called aA. liberal studyB. minorC. specializationO D. broad requirement If you are in a store and there is a discount sale u buy something and the original price was $45 and the discounted price was $18 what was the discount? Need these proofs solved ASAP 45 pts I will give brainliest After getting her close friends to follower her, she starts posting pictures her outfit each morning and gaining new followers. Her total number of followers is given by the functionF(p)=5p+8 where p is the number of posts she's made. Based on this function, Okoye gains followers for every post she makes. After posting 10 times, she will have followers? The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source Which statement is an important point in the passage?A.While the heart should not be racing as one walks, it should be elevated.B.While walking may seem like a relatively simple task, walking for exercise is different.C.However, making walking beneficial requires understanding and planning.D.It is acceptable to start with a short amount of time and increase the time spent walking each day. In line six them refers to 27.1018494699 round to nearest hundred-thousandth Triangle CAT is an isosceles triangle with base angles C and T each represent by (3x + 11) degrees, while angle A is represented by (9x + 8) degrees. Find the measure of angle C. Gabby needs to perform regular computer maintenance. What should she do? Check all that apply. A 9 feet tall dragon ice sculpture is melting at a rate of 1.75 feet per hour. Write a linear function that represents this scenario. Solve for X : 8x + 3 = 2x What does the underlined sentence onpage 2 suggest about young artists?Some of them might struggle to create worksof beautySome of them may have natural talent thatcan be developed.Some of them might put very little effort intoimproving their skills.Some of them may create art that is worth alot of money true or false: Question attached: what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah