Solve the system y=x-3 y=-2x+3

Answers

Answer 1

Answer:

x = 2, y= -1 Or (2, -1)

Step-by-step explanation:

Let’s solve the system using substitution. First we can set the equations equal to each other:

x-3= -2x +3

Now solve for x

3x-3= 3

3x = 6

x=2

Now that we have x, we can plug it back into one of the original equations to get y

y= x-3

y= 2-3

y = -1

Finally, the solution to the system of equations is (2, -1).

Solve The System Y=x-3 Y=-2x+3
Answer 2

Answer:

(2,-1)

Step-by-step explanation:

1.) y = x - 3

    y = -2x + 3

2.) Multiply top equation by 2

    2y = 2x - 6

    y = -2x + 3

3.) Add equations

    3y = -3

4.) Divide 3 from each side

     y = -1

5.) Substitute -1 for y in second equation

    -1 = -2x + 3

6.) Solve

     -4 = -2x

     x = 2

Therefore, (2, -1)


Related Questions

Independent Practice

Find the midpoint of the segment.

A. (4, 2)
B. (1, 0)
C. (-4, 0)
D. (0, 1)

Answers

Answer:

B. (1, 0)

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (1, 0)

Step-by-step explanation:

You can count grid squares on the graph to find the point that is 4 of the 8 units horizontally between the points, and 2 of the 4 units vertically between the points. That will be ...

  C +(4, 2) = D -(4, 2) = (1, 0)

__

Or, you can use the midpoint formula:

  M = (C +D)/2

  M = ((-3, -2) +(5, 2))/2 = (-3+5, -2+2)/2 = (2, 0)/2

  M = (1, 0)

The midpoint is (1, 0).

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
4 cm
12 cm
A = 10 cm
Area =
cm2

Answers

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

[tex] \frac{10}{x} = \frac{4^2}{12^2} [/tex]

[tex] \frac{10}{x} = \frac{16}{144} [/tex]

Cross multiply

[tex] 10*144 = 16*x [/tex]

[tex] 1440 = 16x [/tex]

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

Answer:

Answer is 90

Step-by-step explanation:

I had this homework and got it right

Simplify the expression
10x-4-7x-3

Answers

Answer:

3 x − 7

Step-by-step explanation:

what is 42.925 to the nearest whole, tenths and hundredths

Answers

43 (whole) 42.9 (tenths) 42.93 (hundredths)

a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.

Answers

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  [tex]length\times width[/tex]

Area= [tex](3x+3)x<90[/tex]

[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]

last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected

Answers

25% I believe

Because 240 is 75% of 320
Hope this helps ^W^

please help me i never payed attention in this part of math​

Answers

z=107°
and y=25° hopefully this helps

Solve the equation for p, then justify your reasoning. -9p - 17 = 10

Answers

Answer:

p=-17/9 or p=-1.8889

Step-by-step explanation:

-9p-17=10

add 17 to each side

-9p-17+17=10+17

-9p=17

divide both sides by -9

-9p/-9=17/-9

p=-17/9

or p=-1.8889

Solution of equation - 9p - 17 = 10 is p = -3.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given equation

- 9p - 17 = 10

Add 17 to both sides

- 9p - 17 + 17 = 10 + 17

Adding the numbers

- 9p = 10 + 17

Adding the numbers

- 9p = 27

Divide both sides by - 9

-9p/ - 9 = 27/ - 9

Cancel terms that are in both the numerator and denominator

p = 27/ - 9

Divide the numbers

p = -3

Hence, p = -3 is the solution for equation - 9p - 17 = 10

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PLEASE HELP IM DESPERATE I have no clue about this

Answers

Answer:

B

Step-by-step explanation:

Two linear lines can never intersect twice

B) Two Solutions

Reason is that when we have two straight lines, they can only intersect at one point of intersection. So you can either have one, none, or an infinite solution, you can’t have exactly two solutions.

-8 (x-10) - 3 (x+10)

Answers

1. distribute -8 to x-10 that’s going to be
-8x+80 (the minus sign becomes a plus sign because negative + negative = positive)

2. distribute -3 to x+10 and that’s going to be
-3x-30

what we have right now is -8x+80-3x-30

combine like terms

-8x-3x = -11x
80-30 = 50

ANSWER = -11x + 50





Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the
ounce to mail a package. How much does the package weigh in ounces?

Answers

Answer:200 ounces

Step-by-step explanation: multiply 12.5 by 16

Find the slope of the line passing through the points (-5,6) and (6,6).
slope:

Answers

Answer:

0

Step-by-step explanation:

the equation on finding slope is y2 - y1/x2 - x1

so it is...

6 - 6 = 0

6 - -5 = 11

0/11 but that doesnt work so I believe the slope is zero because the denominator is not the one being a 0

hope I helped ;)

Answer: its a zero slope

Step-by-step explanation: i just put them on a graph - uh i think there is another way to do it but i forgot

Solve.
-5 3/4 - 3 1/2

Answers

the answer to this is -37/4
Wat ever this dude said he was right

Change to Scientific Notation
.0000000005

Answers

5x10^-10 is the answer

What is the distance from M to N?


HELPPP ME PLEASE HURRY IM GIVING BRAINLIST!!!!!!!!

50 POINTS!!!!! NO TROLLING PLZ!!

Answers

Answer: B. 14 units

Step-by-step explanation:

Answer:

it’s not 14 units, that’s all i know

Step-by-step explanation:

got it wrong on ap3x

you use 4 gallons of water on 30 plants in your garden. At the rate,how much water will it take to water 45 plants​

Answers

Answer:4 gallons of water ... 30 plants

x gallons of water = ? ... 45 plants

If you would like to know how much water will it take to water 45 plants, you can calculate this using the following steps:

4 * 45 = x * 30

180 = 30 * x    /30

x = 180 / 30

x = 6 gallons of water

Result: You will use 6 gallons of water to water 45 plants.

Step-by-step explanation:

Riya wants curtains in her room. These are the lengths of curtains in metres. 1.0 m, 1.25 m, 1.5 m The lengths follow a pattern. Riya wants the next length up from 1.5 m. What length of curtains will Riya buy?

Answers

Answer:

1.75

Step-by-step explanation:

Since the curtains are going up in .25. We need to add .25 to 1.5.

1.5 + .25 = 1.75

The length of curtains will Riya buy is 1.75 m.

What is sequence?

A sequence is an arrangement of numbers in a specific order. A series, on the other hand, is defined as the sum of the elements in a sequence.

For example,  In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

We have length of curtains as

1m, 1.25 m, 1.5 m,...

Now, from above the first term is 1.

Common difference, d= 1.25 - 1 = 0.25

So, the next length of curtain will be

= 1 + (4-1)0.25

= 1 + 0.75

= 1.75 m

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Need help finding the value of x

Answers

Answer:

The value of x is 26.

Step-by-step explanation:

In a triangle, the total angles is 180°. In order to find the value of x, you have to add up all the angles in terms of x and make it equals to 180°

2x + 3x + 50 = 180

5x + 50 = 180

5x = 180 - 50

5x = 130

x = 130 ÷ 5

x = 26

As we know that,

Sum of all angles of triangle = 180°

Given,

Angles are 2x , 3x and 50°

Now,

[tex] \rightarrow \: 2x + 3x + 50 = 180[/tex]

When plus sign goes to another side then,it become minus.

[tex] \rightarrow \: 5x = 180 - 50[/tex]

[tex] \rightarrow \: 5x = 130[/tex]

[tex] \rightarrow \: x = \cancel \dfrac{130}{5} [/tex]

[tex] \rightarrow \: x = 26[/tex]

Hence,the value of x is 26°.

The fraction: 340 | 3/4

Which quotient equals to the fraction?

A: 3/4 divided by 340

B: 340 divided by 3/4

C: 340/45

D: 340 divided by 75

Answers

Answer:

It's A I hope that helps

Step-by-step explanation:

TRUE OR FALSE:

2y + 3 + y + 2 + 4 = 3y + 9

Answers

That is TRUE. If you combine like terms you get:
3y + 9 = 3y + 9
Its true, its combine like term : 2y + y = 3y and 3 + 2 + 4 = 9! Which is 3y + 9!

What value correctly fills in the blank so that the expressions are equivalent?

32 + 72 = blank x (4 + 9)

Answers

Answer:

8

Step-by-step explanation:

8*4 is 32 8*9 is 72

so, it is 8

since it is distributive property 8(4+9)

Answer:

8

Step-by-step explanation:

1) simplify the equation

32+72=104

104=4x+9x (distibute the "x")

104=13x

x=8

hence the "blank" is 8


Three vertices of parallelogram ABCD are A(0,2), B(8,1), and D(3,4). Find the coordinates of vertex C.

Answers

Answer:

my answer is(5,7) thats may answer

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

The coordinates of vertex C are (11, 3).

What is a parallelogram?

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Three vertices of the parallelogram ABCD.

A = (0, 2)

B = (8, 1)

D = (3, 4)

C = (x, y)

        A___________B

         /                       /

       /          O          /

     /                       /

   D                     C

Now,

AO = OC

BO = DO

O is the midpoint of BD.

O =(m, n)

m = (8 + 3) / 2

m = 11/2

n = (1 + 4)/2

n = 5/2

O = (11/2, 5/2)

Now,

O is the midpoint of AC.

m = (x + 0)/2

11/2 = x/2

x = 11

n = (y + 2)/2

5/2 = (y + 2)/2

y + 2 = 5

y = 3

The coordinates of C.

= (x, y)

= (11, 3)

Thus,

The coordinates of vertex C are (11, 3).

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please help me. Please no one answer if you don’t know I’m really struggling and I can’t get this

Answers

Answer:

Right, Wrong, Right, Wrong, Right.

Step-by-step explanation:

Lin has 13 mystery novels. Each month, she gets 2 more. Select all expressions that represent the total number of Lin's mystery novels after 3 months.

Answers

answer:

Lin should have about 19 novels in total when you add up all the amounts she gets after 3 months.

The figure shown is a semicircle. Find its area. Round your solution to 2 decimal places.

Answers

Answer:

12.5 pie , 39.25 using pie=3.14, and 39.28 to be exact

Step-by-step explanation:

BTW n=pie

10in= Diameter

5in=Radius

Area=n5^2

= 25n/2

=12.5n

12.5 times 3.14= 39.25

22/7 times 12.5= 39.2857143

The ratio of girls to boys in a class is 4:3. If the total number of students in the class are 28. How many of them are girls?

Answers

4x + 3x = 28

7x = 28

7x/7 = 28/7

X = 4

Girls = 4

4x4 = 16

16 girls

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?

Answers

77 I hope it’s correct

HELP ME I BEG U a solution to the equation 4x-3y=12 must also be a solution to which of the following equation?
(1) 4x+3y= -12
(2) 12x-9y=36
(3) 2x-3y=6
(4) 8x-6y=12

Answers

Answer:

(2) is the correct answer

Step-by-step explanation:

if you multiply the given equation by 3 you get answer (2):

3(4x - 3y) = 3(12)

12x - 9y = 36

Answer:

(2) 12x-9y=36

Step-by-step explanation:

4x-3y=12  (×3)

12x-9y=36

You lose 2 points every time you forget to write your name on a test. You have forgotten to write your name 4 times. What integer represents your change in points from forgetting to write your name?

Answers

Answer:

-8

Step-by-step explanation: since it says Times, (for me times is multiplication) you would multiply -2 and 4. negative 2 would be from that person losing 2 points. and 4 since it is your total amount of times you have forgotten to write your name. so, -2 x 4 = -8.

how i got -8. both signs from -2 and 4 are different, and when they are different the answer will always be negative.

Luis knows that he can hike at an average rate of 13 mile in 6 minutes. How many hours will it take Luis to reach Wandering Twin Lake?

Answers

Answer:

2 hours

Step-by-step explanation:

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