Which of the following is a solution to the system? Show your work.

3x+2y=-3

3x-y=6

Group of answer choices

(-1, 0)

(1, -3)

(2, 0)

LaTeX: (0,-\frac{3}{2})

Answers

Answer 1

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

3x + 2y = -3 ⇒ (1)

3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

-3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

(1, -3) is a solution to the system


Related Questions

Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box. The string was feet long before Megan cut it.

Answers

Answer:

[tex]Total = 3\frac{1}{5}ft[/tex]

Step-by-step explanation:

Given

[tex]Pieces = 4[/tex]

[tex]Size = \frac{4}{5}ft[/tex]

Required

Determine the total size of the string

To do this, we multiply the number of pieces by the length of each piece.

[tex]Total = Pieces * Size[/tex]

[tex]Total = 4 * \frac{4}{5}ft[/tex]

[tex]Total = \frac{4 * 4}{5}ft[/tex]

[tex]Total = \frac{16}{5}ft[/tex]

Convert to mixed number

[tex]Total = 3\frac{1}{5}ft[/tex]

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

https://brainly.com/question/7040405

#SPJ2

PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X

Answers

Answer: 2x+4=10

Step-by-step explanation:

because each notebook would cost $3 so 2 x 3 = 6 +4=10

Answer:

first

2x + 4 = 10

2x+4=10

2x+4=10

Solve

1

Subtract

4

4

4

from both sides of the equation

2

+

4

=

1

0

2x+4=10

2x+4=10

2

+

4

4

=

1

0

4

2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}

2x+4−4=10−4

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

6

2x=6

2x=6

3

Divide both sides of the equation by the same term

2

=

6

2x=6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

22x​=26​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

x=3

x=3

Solution

=

3

Second one

6 = 10

2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

x=\frac{5}{3}

x=35​

Solution = 5/3

i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way

Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions

Answers

Answer:

Lunar, and solar eclipse!

Step-by-step explanation:

This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!

The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!

I hope this helps, and I'm here if you need anything else! <3

-41 + 22 negative or positive

Answers

Answer:

-19

Step-by-step explanation:

what is 3 divided by 1/6?

Answers

Answer:

18

Step-by-step explanation:

Answer:

The correct answer is 18

Step-by-step explanation:

HAVE A GOOD DAY!

HELP ME WITH THIS QUESTION PLZZZZZZZZZZZ, ALSO PLEASE SHOW UR WORK I NEED HELP I DON'T UNDERSTAND THISSSSSS

Answers

Answer: Jon has the best rate

Step-by-step explanation:

I need these answers please please please I need it ASAP

Answers

Answer:

1:101

2:15

3:11

4:56

Source:trust me bro

They’re right those are the answers I double checked and re-did the math.

Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?

Answers

Answer:

70

Step-by-step explanation:

It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70

Hope this helped!

10 + 5 + 5 ( 10 + 10 )

Answers

Answer:

The answer is 115 you do parentheses first and multiply 5 by the number in the parentheses and then add

Step-by-step explanation:

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

Plz help I’m getting timed

Answers

100*4/5



Hope all is well

(2, 6) & (2,7)
Find the slope

Answers

Answer:

1/0 or undefined (use undefined)

Step-by-step explanation:

7-6= 1/0

2-2=

1/0 isn't a real slope so it's undefined...

17 < 2x + 7 <29*
Your Inswer

Answers

Answer:

5<x<11

Step-by-step explanation:

Answer:x=3

Step-by-step explanation:

50 50 23 ​ start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?

Answers

Answer:

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Step-by-step explanation:

23/50 of Xander's friends prefer to stay home on Friday nights.

What percent of Xander's friends prefer to stay home on Friday nights?

% of Xander's friends that prefer to stay home on Friday nights

= 23/50 × 100

= 0.46 × 100

= 46%

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

What is the graph of y = 3jx|?
Ο Α.
5
>

Answers

Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.

Answer:

The graph of y=3|x| is attached below.

Step-by-step explanation:

Given the function

[tex]y=3\left|x\right|[/tex]

Determining the domain:

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

The function has no undefined points nor domain constraints. Therefore, the domain is:

[tex]-\infty \:<x<\infty \:[/tex]

Determining the range:

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=0[/tex]

[tex]f\left(x\right)\ge \:0[/tex]

Thus,

[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Determining the x-intercept and y-intercept:

From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)

The graph of y=3|x| is attached below.

Write in slope intercept form given two points (1,2) and (-2,5)

Answers

I’m pretty sure it’s -1
How you solve this is y2-y1/x2-x1
So 5-2/-3-1 which would be -1

I need the answers to #1-#6 ASAP!

Answers

Answer:

the answer to 1 is 24.5

Step-by-step explanation:

i believe

find the images of the following under thr reflection aboit x_axies a(2,_3)


Answers

Answer:

that not a full question I cant answer that.

Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.

Answers

Each cap would be about $8.44. Equation to model this problem is 270/x=y or c for caps

Hey! I was wondering if you could give me some help with math?​

Answers

Sure what is it that u need help with
What grade? I can help with lots but there are some i haven’t mastered.

What is the solution of the system of equations?

Help

Answers

Answer:

(0, 5)

Step-by-step explanation:

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.

No money was deposited into or withdrawn from the account.

What was the annual interest rate?

Enter your answer in the box.

Answers

Answer:  8.5%

Step-by-step explanation:

Formula : Simple interest = (Principal) x (annual interest rate) x (Time)    (i)

Given: Principal : P = $ 17,500

Time : 2 years

Simple interest : I = $ 2975

Let r = annual

[tex]2975=17500\times(r)\times(2)[/tex]

[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]

Hence, The annual interest rate was 8.5%.

2/5x+4 =1/5x+8

I give up I hate math

Answers

2/5x+4=1/5x+8
2/5x+4-1/5x=1/5x+8-1/5x
1/5x+4=8
1/5x+4-4=8-4
1/5x+4
5*(1/5x)=(5)*(4)
x=20

Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how
much of her $20 she spent at the mall? Explain how you got your answer.

Answers

Answer:

jan spent 0.25, 1/4, or 25% of her money at the mall

any 3 of those answers are correct

Step-by-step explanation:

she spent $5 out of $20.

5/20 = 1/4

1/4 = 25% or 0.25

if a scarf is 25 percent off and normally cost 20 dollars how much will it cost after 6.5 percent sales tax is paid?​

Answers

Answer:

$15.98

Step-by-step explanation:

25% off means it is 75% of its normal cost

0.75 x 20 = 15

The scarf is $15 after 25% discount. Then we calculate its final cost after tax:

6.5% = 0.065

1.065 x 15 = 15.975 which rounds to $15.98

Answer: 15.98

Step-by-step explanation: 25% off 20 is 15. 6.5% times 15 is .98 so the answer is 15.98

Please help me Solve for r: r/5 = 7

-2
2
35
-35
Which one is the answer

Answers

Multiply both sides by 5
r = 35

Pythagorean Theorem
As part of Fort Yargo State Park's Geocaching
spectacular, Kylee, Constance, Zoe go on a GPS
treasure hunt. They start at the welcome center and
walk 250 feet due north. They then turn and walk 100
feet due east. They turn again and walk 150 feet due
south to the first geocache.
How far are Kylee, Constance, and Zoe from the
welcome center?
ANSWER ASAP

Answers

They are about 141.42 feet away from the welcome center

Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?

Answers

Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

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