Determine the solution to the system of equations:
x = 2y - 5
3y + x = 10

Answers

Answer 1

Answer:

In this system of equations, x is equal to one, and y is equal to three.

Step-by-step explanation:

We can solve this by rearranging either equation to define either x or y, and plugging that into the other.  As it happens, the first equation is conveniently arranged to define x, so let's use that:

3y + x = 10

3y + (2y - 5) = 10

5y - 5 = 10

y - 1 = 2

y = 3

Now that we know the value of y, we can plug it in to either of the original equations to find x:

x = 2y - 5

x = 2(3) - 5

x = 6 - 5

x = 1

Now we can check that our answer is correct by plugging that x value into either of the original equations:

3y + x = 10

3y + 1 = 10

3y = 9

y = 3

And because that gives us our original y value, we know that our answer is correct.


Related Questions

in the graph below point a represents owens house. Help me pleaseeeee

Answers

Answer:

I believe david lives 34 units away from the school. I cannot see Owen's house. It may be cut off.

Step-by-step explanation:

Answer:

Step-by-step explanation: 25.5

an = 3.5 +2.8 (n-1)
f(n) =

Answers

Answer:

f(n) = 2.8n + 0.7

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

x is the inputf(x) is the output

Let us solve the question

∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where

a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input

→ To write it as a function replace a[tex]_{n}[/tex] by f(n)

∵ a[tex]_{n}[/tex] = f(n)

f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

f(n) = 2.8n + 0.7

PLEASE HELP TIMED TEST!!!


Which interval below correctly describes the domain of the graph f ( x ) ? a.) (-∞,3} b.) [-3,5] c.) [-5,3] d.) (-∞,∞)

Answers

Answer:A

Step-by-step explanation:

If they both go down from 3 then it is 3 and then -infinity.

(this is my best answer without a picture, hope you get it right!)

You are given two vertical angles. The first angle measures 30 degrees.

The second angle measures x + 10 degrees. What is the value of x?

Answers

Answer:

20 degrees

Step-by-step explanation:

vertical angles are congruent:

x+10=30

JEJEISHEVEHSUEHRH PLEASE ✋✋✋✋

Answers

red- 2
green- 3
yellow - 1
blue- 4

need help please!!!!

Answers

Answer:

correct and incorect

Step-by-step explanation:

please help me will give brainliest

question 10n​

Answers

Answer:

Yes.

Step-by-step explanation:

A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.

5.7 ft
1.8 ft
2.9 ft
Estimate the volume
A)
11 ft3
B)
12 743
30 ft
D
36ft3

Answers

Answer:

30ft

Step-by-step explanation:

Don't worry I just know


can someone help me pls?

Answers

1=3

2=6

3=9

11=?

3=9

11=x

x=9*11/3

x=33

The answer would be 33 because the equation is x*3=the output

Hope this helps

Have a great day/night

Austin swam 1.4 laps each minute. Ashley is Austin's older sister. She trains in the same pool and can swim 9 laps in 6 minutes. Is Ashley a faster swimmer than Austin? Question - how can you use the unit rate in minutes per lap to compare Ashley's speed to Austin?

Answers

Answer: Asley is faster than Austin.

Step-by-step explanation:

Given: Austin swam 1.4 laps each minute.

Asley's sister can swim 9 laps in 6 minutes.

i.e. the number of laps she can swim in each minute = [tex]\dfrac96 = 1.5[/tex]

1.5 > 1.4, i.e. Asley swim more laps than Austin in a minute.

Hence, Asley is faster than Austin.

In mintues per lap, speed of Austin = [tex]\dfrac1{1.4}=0.71\text{ minute per lap}[/tex]

Speed of Ashley = [tex]\dfrac{6}{9}=0.67\text{ minute per lap}[/tex]

Ashley took lesser time then austin per lap.

Hence, Ashley is faster than Austin.

Which of the following expresses the possible number of positive Icai
solutions for the polynomial equation shown below?
5x° + x2 - 7x+ 28 = 0
O A. Zero
B. One
C. Two or zero
D. Three or one

Answers

9514 1404 393

Answer:

  C.  Two or zero

Step-by-step explanation:

The signs of the polynomial terms are: + + - +.

There are two sign changes, one from + to -, and the other from - to +. The two sign changes means the number of positive real roots will be a maximum of 2. Any even number of roots may be complex, so will not be real. That is, the number of positive real roots may be 2 or 0.

What is the equation for line e?​

Answers

Answer:

C

Step-by-step explanation:

C: x + y = -4

Answer:

C. x+y=-4

Step-by-step explanation:

In slope intercept form y=mx+b it would be y=-1x-4 which is the equation of the line

A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget. (2 points)

Answers

20.56 can I have my points

Who earns more per hour, and what is his or her pay rate?

Answers

It would be B because 34.50 divided by 3=11.50 which is more than Amina

Hope this helps

Have a great day/night

estimate and find the quotion in 281 divided by 9

Answers

300 divided by 10
Answer is 30

Help please!!!!!!!!!!!

Answers

Answer:

300 cubic Inches

Step-by-step explanation:

Since idendtiacls we really only need to solve one of them

so to find a volume of a triangular prism

I’d just find the base and multiply but the lenght or height

SO in this case the base is 6*5/2 so 15

Now there 10 of those 15 in bases

SO multiply to find total

10*15=150

Now 150*2 becuase the bottome one is basically the same so that’d give you 300

anyone good at solving rational zeros ​

Answers

Answer:

sort of

Step-by-step explanation:

B) sometimes but it depends.

(05.05) Which of the following inequalities matches the graph? (1 point)​

Answers

Answer: Choice C.  [tex]y \ge -1[/tex]

==========================================================

Explanation:

The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.

The shading is above the boundary line, so the inequality is [tex]y \ge -1[/tex]

Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.

For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality [tex]y \ge -1[/tex] because [tex]2 \ge -1[/tex] is a true statement.

Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.

Please help! ASAP Its about fractions from the picture below there is some instructions!

Answers

Answer:2/10, 3/15, 4/20,

Step-by-step explanation:

Answer:

2/10,3/15,4/20

Step-by-step explanation:

i hope it was helpful

Determine the range of the following graph:

Answers

Answer:

-9≤y≤0

Step-by-step explanation:

-4≤x≤4 DOMAIN

-9≤y≤0 RANGE

I'm pretty sure this is correct but I haven't done it in a while

HELP ASAP
6+ x - y + 10=

Answers

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

Why do I keep struggling in geometry. I'm in 10th grade I shouldn't be struggling but anyway my teacher let me retake a quiz/ test and I made the exact same score. So I have no clue what to do.

Answers

Step-by-step explanation:

I don't know what you need to do. Have you studied the quiz or more specific have you studied the questions that you have problems with? Also make sure you have enough sleep and have healthy food. You don't have to do read what I say(type) but it could help you.

Answer:

yeah, Geometry is not that easy. I struggled a bit in Geometry, too. You have to study a lot. Im an Algebra person im good with equations. Geometry has to many rules and theorems and other stuff you need to remember. Try studying. If you Need help you can comment for help and i will try to help you with what i can.  Im in 10th grade but i have Algebra 2. Also, i have a Geometry book with other stuff, etc... I'll be glad to help you if i can.

Step-by-step explanation:

1.008 +7.
2-5.92 +2.34​

Answers

The answer is
4.628
Hope that helps <3

Answer: 4.628

Step-by-step explanation:

7th grade, 25 points plus brainliest to the correct answer, no point theives please, the question is in the picture.

Answers

Answer:

I don't see any attachement or a picture or anything

Step-by-step explanation:

The answer is D

$1400 is divided between two accounts. One account pays $3%$ interest, while the other pays $4%$. At the end of the interest period, the interest earned was $50. How much was invested in each account?

Answers

Answer:

$60

Step-by-step explanation:

one of them got $40 and the other one $20

Which of the following is a function?

Answers

Answer:

this is a function

Step-by-step explanation:

Answer:

I think it’s -3

Step-by-step explanation:

Which of the following is a geometric series? 0.1 + 0.3 + 0.5 + 0.7 1 + 3 + 9 + 27 19 + 17 + 15 + 13 0.4 + 0.9 + 1.5 + 2.2

Answers

The series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

As we know, the geometric series has a common ratio:

If a, b, c, d, e.....

is in the GP then,

b/a  =  c/b  =  d/c = and so on

We have a series:

0.1 + 0.3 + 0.5 + 0.7

0.3/0.1 ≠ 0.5/0.3

The above sequence is not a geometric series.

1 + 3 + 9 + 27

3/1  =  9/3  = 3

The above sequence is a geometric series.

19 + 17 + 15 + 13

17/19  ≠  15/17

The above sequence is not a geometric series.

0.4 + 0.9 + 1.5 + 2.2

0.9/0.4  ≠  1.5/0.9

The above sequence is not a geometric series.

Thus, the series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

The width of a rectangular frame is 8 inches and the diagonal length of the frame is 17 inches. What is the length of the frame in inches?

Answers

15 because when you do the Pythagorean Therom 8squared plus the length squared equals 17squared so you get x squared equals 15

HELP !!!.
I need help with these questions( see image).
Please show workings.

Answers

9514 1404 393

Answer:

a) 7b) -27c) 18d) 8e) 2f) 1

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)


pls help with thisss

Answers

Answer:

i will help plz put the question here copy it so i can help u

Step-by-step explanation:

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