What does it mean if (3, 2) is a solution of

{

y = x - 1

y = -x + 5

?

Answers

Answer 1

(x,y) = (3,2)

y = x - 1

2 = 3 - 1

2 = 2

y = -x + 5

2 = -3 + 5

2 = 2

Answer 2

If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, The system of equation y = x - 1 and y = - x + 5 has a

solution (3, 2).

If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.

For,

y = x - 1.

At, x = 3,

y = 3 - 1

y = 2   (satisfied).

For,

y = - x + 5.

At, x = 3,

y  - 3 + 2.

= 2     (satisfied).

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Related Questions

y= x+14 , x+ 2y= 36, find x and y and show solution pls

Answers

Answer:

Solve the equation for x.

The simplified system is the arbitrary solution of the original system of equations.

Y=x+14

y=18−x2

Reorder 18

and −x2.

y=−x2+18

Y=x+14

Solve the equation for Y.

Y=−2y+50

x=36−2y

Reorder 36

and −2y.

x=−2y+36

Y=−2y+50

Step-by-step explanation:

Step-by-step explanation:

given

[tex]y = x + 14 \\ y - x = 14 \\ - x + y = 14[/tex]

as equation 1

and

[tex]x + 2y = 36[/tex]

as equation 2.

We will now use elimination method to solve simultaneous equations.

We will use equation 1 + equation 2 to eliminate x and solve for y.

[tex] - x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\ = \frac{50}{3} \: or \: 16 \frac{2}{3} [/tex]

Now substitute y into equation 1.

[tex]y = x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3} - 14 \\ = 2 \frac{2}{3} [/tex]

Find the solution of the system of equations.
15x – 4y = -50
3x – 2y = –16

Answers

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

---------------

15x-4y=-50

-5(3x-2y)=-5(-16)

------------------------

15x-4y=-50

-15x+10y=80

-------------------

6y=30

y=30/6

y=5

3x-2(5)=-16

3x-10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2

On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1 : 1
2
How many cups of water should be used to cook 1 cup of
2 uncooked rice?

Answers

The cups of water should be:

2 x 12 = 24 ( cups of water )

Mhanifa please help!!!

Answers

Answer:

B. rhombus

Step-by-step explanation:

This is not a square or rectangle because of the 94° angle

All sides are equal, it is a rhombus

a movie theater has 15 rows of State each rows have 24. if there where 28 empty seats during one show how many people where there?

Answers

Answer:

332

Step-by-step explanation:

To find how many seats there were, multiply the number of rows with the number of seats in each row:

15 (24) = 360

From these total seats, there are 28 empty seats, meaning:

360 - 28 = 332

There were 332 people.

This is URGENT please help!

Answers

X=1 look at the x axis and see where the the middle part of the U thing a-line

Answer:

x=1

It's the line that runs through the vertex (1,9), essentially creating mirror images on both sides

A figure is shown on the grid. Which of the transformations
would NOT lead to a figure that is congruent to the figure
shown?
Select one:
1-Dilation
2-Reflection
3-Rotation
4-Translation

Answers

i think the answer is reflection :)

Which equation is equivalent to the equation below? (NO LINKS)

Answers

Answer:

The answer is A

Step-by-step explanation:

It is 2x+3=40

iLL GIVE BRAINLIEST IF YOU ANSWER THEM

Answers

Answer:

Step-by-step explanation:

What is the value of s

Answers

Answer:

Where is the problem?

Step-by-step explanation:

-5x-2
Multiply the following

Answers

Answer:

Step-by-step explanation:

-7x

Answer:

=. -10

if you are owing someone $5and another person $2when you multiple you will get 10. Since it's in the negative form you add the sign={-10}

Which statement is true for ALL quadratic functions?
All quadratic functions have a maximum point.
All quadratic functions have a domain of all real numbers.
All quadratic functions have a range of all real numbers.
All quadratic functions have a minimum point.

Answers

Answer: All quadratic functions have a domain of all real numbers.

Step-by-step explanation:

53, 13, 34, 41, 26, 61, 34, 13, 69 4) Mean : Median Mode : Range:​

Answers

Answer:

Mean: 34.8

median:34

Mode: 13,34

Range:65

Step-by-step explanation:

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34.

The value of Range is 56.

Here,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

We have to find the value of Mean , Median , Mode and Range.

What is Range of the data set?

To find Range of the data set we have to find the difference of highest and lowest number of the set.

Now,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

Firstly we arranged in the ascending order we get;

13, 13, 26, 34, 34, 41, 53, 61, 69

The Mean of data set is calculated as;

Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]

Hence, The value of Mean is 34.4

And, The Median is calculated as,

There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.

Hence, The value of Median = 34 (middle term)

Now, The Mode is the number that appears most often within a data set.

In the data set,

13, 13, 26, 34, 34, 41, 53, 61, 69

Number 13 and 34 repeat two times.

So, The value of Mode = 13 and 34

Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.

Here, In the data set;

The highest number = 69

The lowest number = 13

Hence, Range = 69 - 13 = 56

Therefore,

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34

The value of Range is 56

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simplify the expression ​

Answers

Answer:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

[tex](\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}[/tex]

Now we can directly add the terms to get:

[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]

We can't simplify this anymore

Can you fill in the blanks. Thx

Answers

Answer:

Answer is below

Step-by-step explanation:

In April Jayveis sent 675 test messages in may jayveis sent 621 text messages by what percent did the number of text messages decrease from april to may

Answers

Answer:hi

Step-by-step explanation:

HELP PLEASE JJFFNFNFNF

Answers

Answer:

A.

17 vs 18, not true

B.

True

C.

Mean:

(4*5 + 5*3 + 6*2 + 12 + 13*4 + 14*2)/17 = 8.17

Median:

6

Mean ≠ median, not true

D.

14 - 4 = 109 - 3 = 6, 10 > 6, not true

Answer:

B

Step-by-step explanation:

Option B is correct because from the data it's visible that all the data are around 6 miles in other words clustered. In Class A half of them are on left and half are on right. Option A is wrong because there are 17 students in class A and 18 students in class B.

Option C is wrong because the mean is 8.2 and the median is 6.

To find mean add up all the miles the students chose and divide by total students (4+4+4+4+4+5+5+5+6+6+12+13+13+13+13+14+14)/17 = 8.2

To find the median line up all the numbers and find the one in middle. It's 6.

Option D is wrong because the range for class A is (14-4)=10

and class B is (9-3)=6. So the range of class A is greater than class B.

To find range maximum value-minimum value

A hawk soars 120ft in the sky. Nearby, a small rabbit munches clover. If the angle of depression from the hawk to the rabbit is 35. degrees, what is the distance between the hawk and the rabbit?

Answers

Answer:

5

Step-by-step explanation:

If a1=7and an=-2an1 then find the value of a5

Answers

Answer:

wonderful

Step-by-step explanation:

a5= A1=7 an=2an1

an16

Last summer, a sports club had 370 members. This summer, due to some renovations, it has
10% fewer members. How many members are there now?
members
Submit

Answers

Answer:

333 members

Step-by-step explanation:

10% of 370 is 37

370-37=333

Plz help me!!!!!!!!! Btw I am also doing it bc when u select the box you have to answer the fraction but I can do that!

Answers

Answer:

1) B

2) A

Hope it Helps!

:)

What would be the next step?

We are trying to prove that BD bisects angle ADC.

Answers

Answer:

6.∠ADB = ∠BDC reason :(CPCTC)

7.BD bisects ∠ADC reason :(From statement 6)

Hope it helps you........

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 54

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 36 + 90 = 180

x + 126 = 180

x = 180 - 126

x = 54

Justin has scored 27, 20, and 26 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 25 points per game? points​

Answers

Answer:

27

Step-by-step explanation:

The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care

pls help and neatly show work

Answers

Answer:

Step-by-step explanation:

(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)

x^2 + 15x + 50

(x + 5)(x + 10)

x = -10

Step-by-step explanation:

a

(x+5)(2x+7)-(x+5)(x-3)

factorize (x+5) out

(x+5)[(2x+7)-(x-3)]

(x+5)(2x+7-x+3)

(x+5)(2x-x+7+3)

(x+5)(x+10)

b. to get the zeros of the equation,

(x+5)(x+10)=0

x+10=0

x=-10

since the other one has been found already

Ashley ate exactly one-third of the peanuts in a dish. Then, Emily ate exactly one-fourth of the remaining peanuts in the dish. Lastly, Isabella ate exactly one-fifth of the remaining peanuts in the dish. What is the least number of peanuts that could be in the dish when Isabella finishes? [Whole peanuts may not be split into smaller parts.]

Answers

Answer:

12 peanuts

Step-by-step explanation:

use algebra using the given ratios...and use trial and error to find the total number of peanuts.

multiply that by the final ratio.

When y varies proportionally with x, what is k when x = 50 and y = 375?

Answers

Answer:

x/375=50/100 if its a percent

Step-by-step explanation:

Find the equation of the straight line passing through the point (0, 1)
which is perpendicular to the line
y=-2x + 2

Answers

Step-by-step explanation:

y=-2x+2 point(0,1)

m1=2=m1×m2=-1

-2×m2=-1=-2m=-1(÷ both sides by -2) M2=1/2 equation 1/2=y-1/x-0 2(y-1)/(x-0)1=2y-2=x-0 y=mx+c=2y=x-0+2

2y=x+2 (÷all sides by 2)

Ans=y=1/2x+1

is it possible to form a triangle with the given side lengths? 15 yd,16yd,30yd

Answers

Answer:

Yes

Explanation:

15 < 16+30

16 < 15+30

30 < 16+15

Yes it is possible to form a trial for

PLEASE HELP!!!!! I'll make brainliest!​

Answers

number 3

Step-by-step explanation:

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