How many solutions to y=2x-3 y=-x+3

Answers

Answer 1

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1


Related Questions

How do you graph y=1/2x -2

Answers

Answer:

Graphing y=1/2x-2 will look like this on the graph

Answer:

Step-by-step explanation:

the 1/2 is a gradient so you go up 1 for every 2 to the right

the -2 is the Y intercept so you start graphing the gradient from -2 on the Y axis

Find the missing side

Answers

Answer:

its E 21

Step-by-step explanation:

hola , alguien me podria decir cuanto es x+y=47 , tomando en cuenta que 40 alumnos y 14 profesores van de viaje , y en el hotel que se quedaran , los alumnos dormiran en cuartos dobles (2 camas) y los profesores en sencillas (1 cama) , y sumando en total son 47 habitaciones y 79 camas , y la incognita x es las habitaciones sencillas y la incognita y son las habitaciones dobles

Answers

Answer:

Step-by-step explanation:

40s=40×2=x

14t=14×1=y

40s=80

x=80

14t=14

y=14

Help me :( please omg this is to hard for me

Answers

Answer:

The answer is 39.

Step-by-step explanation:

bc^2 + a / c

=(9)(4)^2 + (12) / (4)

=(9)(4*4) + (12) / (4)

=(9)16 + (12) / (4)

=144 + 12 / 4

=156 / 4

=39

Answer:

327

Step-by-step explanation:

when the variables are together multiply

so

9×4=

36

36²=

1296

1296+12=

1308

1308÷4=

327

hope this helps!

what is the answer to"original price of book:$22.95
discount: 10 %

Answers

Answer:

20.655

Step-by-step explanation:

might have to round it


9x+ 27 = 9(x+ 2) + 9

Answers

Answer Infinitely many

Step-by-step explanation:

What is the value of c?

13c−22=−17c+14

Enter your answer in the box.

c = ___
(Sorry for all these questions >3> )

Answers

c = 6/5
hope this helped! if it’s right please mark me brainliest <3
Hm I don’t know if this is right tbh but I think it’s this

I will give 80 points for this

Answers

Answer:

What is the question?

And also.

Please mark as brainliest.

Answer:

they are in the bathroom, the other one is in my bedroom. BOOM Please give me brainliest

Step-by-step explanation:

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

It is linear because the graph decreases over time.
It is linear because there is both an independent and a dependent variable.
It is nonlinear because linear functions are increasing functions.
It is nonlinear because linear functions increase or decrease at the same rate

Answers

Answer:D

Step-by-step explanation:cuz im cool

Answer:

It is nonlinear because linear functions increase or decrease at the same rate.

Step-by-step explanation:big brain(:

What is the minimum angle of rotation lin degrees that will carry the six-sided star onto itself?
What’s the degree

Answers

Answer:

120 degrees

Step-by-step explanation:

If it's a 6 sided star, that means that it will be divided into 3 parts (think about how a normal 5-point star has 10 sides). That means that we divide 360 (total number of degrees in a full rotation) by 3 (number of sections) = 120

11) g= y - xc , for x

Answers

x= -g/c + y/c is the answer

1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer
recipes during each week of school. Write an equation that shows the relationship between the number of
weeks and the number of appetizer recipes.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn
during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in
school
(d) Explain your answer to Part 1c.
Answer:

Answers

Answer:

(a)  The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

(b) A = 3 × x

(c) 58 recipes

(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew

Step-by-step explanation:

The given parameters are;

The number of appetizer recipes Tara already knew = 4

The number of new appetizer recipe she will learn each week of school = 3

(a) The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

The added constant term = The number of appetizer recipes Tara already knew = 4

(b) The equation for the number of appetizer, A, she will learn during school is give as follows;

The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +

A = 3 × x

(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;

y = A(18) + The number of appetizer recipes Tara already knew

A(18) = 3 × 18 = 54

y = 54 + 4 = 58 recipes

(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.

؟
A student answers a test of 10 questions
in which he must answer "True"
"false", of
wich he is only sure of the answers he
gave
five questions, he answers the remaining
five at randone
What is the probability of that accredits at
least six in the exam?
so

Answers

Answer:I’m guessing 3 because there’s 10 he knows 5 are right so that’s half of the test, so he would receive half of the credits and half of 6 is 3.

Step-by-step explanation:

For the equation 4(2x-3)-(mx+5)=5x+b to be an identity, which of the following must be true about the constants m and b? Show your work

(1) m = 3 and b = -7
(2) m = 8 and b = 17
(3) m = -3 and b = -15
(4) m = 3 and b = 17

Answers

Given:

The equation is

[tex]4(2x-3)-(mx+5)=5x+b[/tex]

To find:

The values of m and b.

Solution:

We have,

[tex]4(2x-3)-(mx+5)=5x+b[/tex]

Using distributive property, we get

[tex]8x-12-mx-5=5x+b[/tex]

On combining like terms, we get

[tex](8-m)x+(-12-5)=5x+b[/tex]

[tex](8-m)x-17=5x+b[/tex]

On comparing both sides, we get

[tex](8-m)=5[/tex]

[tex]-m=5-8[/tex]

[tex]-m=-3[/tex]

[tex]m=3[/tex]

And,

[tex]b=-17[/tex]

Therefore, m = 3 and b = 17.

Note: All options are incorrect.

Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are 36 apples in the basket, there are (Your answer here ) peaches in the basket

Answers

Take the total number of apples (36) and subtract 12, which equals 24. Then take 24 and divide it by two. There is 12 peaches in the basket


A sports arena posted ticket prices for five different sporting
events. A service charge is collected for each ticket
purchased. The table shows the ticket price, c, of each of the
different sporting events.
Ticket Price,
$47 $54 $62 $79 $116
Cost Including Service Charge $60 $67 $75 $92 $129
Which expression can be used to find the total cost of each
sporting event ticket including the service charge?

Answers

Answer:13

Step-by-step explanation:

I NEED A PROFESSIONAL ON MATH PROBLEMS NOW!!
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is

$____

Answers

Answer:

$62

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

62

Step-by-step explanation:

Need answer ASAP please hurry??

Answers

Answer:

The Car would release over 360 tons of carbon dioxide in 10 years.

36x10 = 360

Step-by-step explanation:

Hope this helps!

Which of the following is equal to square root 9•16
O A. 36
B. Square root 9•square root 16
C. 144
D.Square root 9/16

Answers

Answer:

Letter B

9.16

...........

.

what is -6 divided by (-3) • (-5)

Answers

Answer:

d

Step-by-step explanation:

-10
Pls mark brainliest

Which are incorrect and what did they forget

Answers

Nemsis, Onslaught, and Professor X are incorrect. 1+3(4x-5) , you distribute 3 through the parentheses so 1+12x-15. Calculate the difference, -14+12x

Solve the equation and enter the value of x below.
x + 29 = 49
X =

Answers

Answer:

x = 20

Step-by-step explanation:

x + 29 = 49

- 29       - 29

x=20

9) There are six girls and 12 boys in Ms. Jeffry's environmental club. She wants to divide the students into groups with the same number of boys and the same number of girls in each group. What is the maximum number of groups she can make? *​

Answers

No . of girls in Ms. Jeffry's environmental club = 6

No . of boys in Ms. Jeffry's environmental club = 12

To find the maximum number of groups she can make , we have to find the highest common factor ( HCF ) of the number of boys and girls in her club .

Factors of 6 = 1 , 2 , 3 and 6

Factors of 12 = 2 , 3 , 4 , 6 and 12

Hence the highest common factor of 6 and 12 are 6 .

Therefore , the maximum number of groups Ms . Jeffry can make where the number of girls and boys are same are 6 .


1,11,111,1111 what is the next to terms in the sequence and is it geometric or Arithmetic

Answers

11111 would be correct

Have a nice day :)

please help me with this! thank you so much!

Answers

Answer: Look at the photo

Step-by-step explanation:

[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]

Substract 5 from both sides

[tex]7x = 175[/tex]

Divide by 7 from both sides

x = 25

(3x+3) = (4x+2)
-3x -3x
3=1x+2
-2 -2
1=x
That’s how you get x
3•1 +3 = 6

4•1 + 2 =6
I’m pretty sure that’s right it’s been a minute

f(x) = 382 – 3x + 1 1
Find f(-2)

Answers

Answer:

f(x)=382-3x+11

f(-2)=382-3(-2)+11

f(-2)=382+6+11

f(-2)=399

Answer:

399

Step-by-step explanation:

f(-2) = 382 - 3x + 11

382 - 3(-2) + 11 : plug it in

382 + 6 + 11

388 + 11

399

A birthday cake was cut into equal pieces, and two pieces were eaten. The
fraction below shows how many pieces were left. According to the fraction,
how many pieces were not eaten?
9
11
A. 13
B. 9
C. 2.
O
D. 11
O

Answers

Answer:

I think c is the answers but I could be wrong

It’s B. 9 because only 2 pieces were eaten and it’s asking how much weren’t eaten so basically just subtract 11 from 2 and 9 is you answer

What value should go in the empty boxes to complete the calculation for finding the product of 0.59 × 0.37? Both numbers are the same; however, only input the number one time in your answer. 0.59 times 0.37 gives two unknown partial products. The first product is 413. The second product is 1 thousands, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones. These products are being added. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

1   7    _7     0

Step-by-step explanation:

From this Given information:

We are to find the product of:

        0.59

×       0.37  

                   

However, the first product is given as 413;

Also, the second product is 1 thousand, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones.

Mathematically; i.e.   1 __ __ 0

i.e.

        0.59

×       0.37        

        4 1 3    

+   1 __ __ 0

                       

So, to work out the unknown; we look for the multiplication of:

        0.59

×       0.37  

                   

This is calculated as:

        0.59

×       0.37  

       4 1 3          

    1 7 7

0 0 0        

1    1  8   3    

Thus:

1183 - 413 = 770

i.e

the unknown value in the hundreds place is highlighted in bold format = 700

the unknown value in the tens place is highlighted in bold format =   70

A triangle has angle measures 23° and 35°. What is the measure of the third angle

Answers

The angles in a triangle add up to 180 degrees, so the third angle must be 180 - 23 - 35 ---> 157 - 35 --> 122.

122 degrees.

Hope this helps!

The measure of the third angle is 122° and the triangle is an obtuse angle triangle.

What is a triangle?

A triangle is a 2D figure joined by the lines of three non-colinear points.

There are three types of triangles they are:- Equilateral triangle, Isosceles triangle, and Scalene triangle.

We know that sum of all the interior angles of a triangle is 180°.

Given two angles which measure 23° and 35° and assuming the third angle to be x°.

∴ 23° + 35° + x° = 180°.

58° + x° = 180°.

x = 180° - 58°.

x = 122°.

We can conclude that the triangle is an obtuse angle triangle.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Write: x^2 + 8x + 10 in the form (x + a)^2 + b

Answers

Answer:

Step-by-step explanation:

Here, b=8 and c=10, so,

a=b/2

=8/2

=4

and

b=c-a²

=10-16

=-6

∴(x+a)²+b=(x+4)²-6

Pls mark me brainliest

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