Given: 3x + 2y + 7 = 5x +3y +10

Prove: m = -2

please help im very confused :)
also make sure to include the statements and reasonings as shown in the screenshot!

Given: 3x + 2y + 7 = 5x +3y +10Prove: M = -2please Help Im Very Confused :) Also Make Sure To Include

Answers

Answer 1
Subtract 2y from both sides (property of subtraction)
3x + 7 = 5x + y + 10
Subtract 3x from both sides
7 = 2x + y + 10
Subtract 10 from both sides
2x + y = -3
Subtract 2x from both sides
y = y = -2x -3
m = -2
Answer 2

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]3x+2y+7=5x+3y+10[/tex]

2) Subtraction Property of Equality (subtract 2y from both sides):

[tex]3x+7=5x+y+10[/tex]

3) Subtraction Property of Equality (subtract 5x from both sides):

[tex]-2x+7=y+10[/tex]

4) Subtraction Property of Equality (subtract 10 from both sides):

[tex]-2x-3=y[/tex]

5) Symmetric Property:

[tex]y=-2x-3[/tex]

6) Slope-intercept form:

[tex]y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}[/tex]

7) Substitution:

[tex]m=-2[/tex]


Related Questions

What is the answer to The sum of 2 numbers is 19 and their difference is 3? And thank you brainly for helping. I need the answers correct because I play prodigy, a math game. Thank you!

Answers

Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

8 and 11

Step-by-step explanation:

please help please answer surely please​

Answers

Answer:

C. 48 m

Step-by-step explanation:

The two vertical sides add up to be (8*2) m = 16m.

The two horizontal sides can be added up to (14*2) m = 28m.

(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)

Finally, add the leftover two sides (2*2) m = 4m.

16+28+4 = 48.

Hope this helped!

Answer:

C-48

Step-by-step explanation:

hi , you need to fill in the blanks and then add them all together

My dog, Petey weighs 75 pounds. Last summer he weighed 65 pounds. What percent of his weight did he gain?

Answers

Answer:

he gain 10%

Step-by-step explanation:

Answer:

He gained 10 lbs which is 13.3 % of 75

Melanie deposits $8200 in a bank account paying 4.4% simple interest. How much money will be in her account after 5 years and 6 months?

Answers

Answer:

8200+1894.40 = $10,094.40

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $8200.00.

r is the interest rate, 4.4% per year, or in decimal form, 4.4/100=0.044.

t is the time involved, 5.5....year(s) time periods.

So, t is 5.5....year time periods.

To find the simple interest, we multiply 8200 × 0.044 × 5.5 to get that:

The interest is: $1984.40  + add to Investment ($8000) and you'll get the answer.

HELP ME PLEASEEE!
Write the equation of the linear function displayed in the graph below in slope intercept form. *

Answers

The answer is -1,3 ok ok

GUYS ANSWER THIS QUESTION PLEASE IM LITERALLY TIMED IM BEGGING SOMEONE PLEASE PLEASE

Answers

Answer:

bruhhhhh 35 gramsssssssssss

Step-by-step explanation:

its just 175% of 20g

Examine the power 5^3

Answers

Answer:

5^3 is the same thing as 5 x 5 x 5. It equals 125

125 is the answer hope it helps!

HELP ASAP! Relations and Functions!!! Giving brainliest!!! !

Answers

Answer: its a relation only :))

Step-by-step explanation:  bc of that rule saying that there is only one output for every input there for not a function ( not a one to one function)

Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?

Answers

Answer: The answer is 27

Given:

Mr. Roberts will drive 56 milesHe has 29 more miles to go

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

Help plz!!!! I will give brainliest!!
Caroline is going to invest in an account paying an interest rate of 5.2% compounded continuously. How much would Caroline need to invest, to the nearest dollar, for the value of the account to reach $940 in 6 years?

Answers

Answer:

688

Step-by-step explanation:

1/3 cups of butter?
(Hint:use a calculator to figure out how many tablespoons a 1/3 of a cup is,your answer will not be a whole number)

Answers

Answer:

Around 5 tablespoons or to be exact: 5.333333333333333

A student is learning about positive and negative numbers with manipulatives. Each black cube represents + 1 , and each white cube represents − 1 . If there are currently 15 black cubes on the student's desk, how many white cubes must the student add to the desk for the combined value of the cubes to represent 0 ?

Answers

Answer:

15 white cubes

Step-by-step explanation:

Given

[tex]White\ Cubes = -1[/tex]

[tex]Black\ Cubes = +1[/tex]

[tex]Number\ of\ Black\ Cubes = 15[/tex]

Required

Determine the number of white cubes needed to represent 0

To solve this question, we make use of the following equation.

[tex]Black\ Cubes +White\ Cubes = 0[/tex]

If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15

Substitute +1 * 15 for the Black Cubes

[tex]+1 * 15 +White\ Cubes =0[/tex]

[tex]+15 +White\ Cubes =0[/tex]

Collect Like Terms

[tex]White\ Cubes = 0 - 15[/tex]

[tex]White\ Cubes = - 15[/tex]

Recall that 1 white cube is worth -1

So, the number of white cubes is:

[tex]Number = \frac{-15}{-1}[/tex]

[tex]Number = 15[/tex]

Hence, the student needs 15 white cubes

4. f(x) = 1/2x - x?
f(8) =
a. 64
b. -68
C. 68
d. -60

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hi

Step-by-step explanation:

Hey my old account is ilikebug it got into minus points somehow so this is my new account

Answers

Answer: Hi hope your new account doesn't malfunction.

Solve.
x +y + 2z=3
2x – 2y – 3z = 2
3x - y - 2z=1
Enter your answer, in the form (x, y, z). in the boxes

Answers

Step-by-step explanation:

x=−y−2z+3

x=y+32z+1

x=13y+23z+13

Please solve this simultaneous equation, i'm not that good at it.

2r-s=10
rs-s^2=12

Answers

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

2r - s = 10

2r = 10 + s

r = 5 + s/2 --(1)

rs - s^2 = 12 --(2)

sub (1) into (2):

(5 + s/2)s - s^2 = 12

5s + 0.5s^2 - s^2 = 12

-0.5s^2 + 5s - 12 = 0

s^2 - 10s + 24 = 0

(s - 6)(s - 4) = 0

therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)

You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.



Answer: Let n be the number of nickel


s, d be the number of dimes, and p be the number of pennies.

Answers

Answer:

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Step-by-step explanation:

Let

n = number of nickels

d = number of dimes

p = number of pennies.

n + d + p = 37

0.05n + 0.10d + 0.01p = 1.55

p = 2d

Substitute p = 2d into the equation

n + d + 2d = 37

0.05n + 0.10d + 0.01(2d) = 1.55

n + 3d = 37

0.05n + 0.10d + 0.02d = 1.55

n + 3d = 37 (1)

0.05n + 0.12d = 1.55 (2)

Multiply (1) by 0.05

0.05n + 0.15d = 1.85

0.05n + 0.12p = 1.55

Subtract

0.15d - 0.12d = 1.85 - 1.55

0.03d = 0.3

d = 0.3/0.03

= 10

d = 10

p = 2d

= 2(10)

p = 20

n + d + p = 37

n + 10 + 20 = 37

n + 30 = 37

n = 37 - 30

n = 7

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Can someone please explain how functions work? With graphs?

Answers

Answer:

no, yes, no, no, yes, no

there  you go!

Step-by-step explanation:

8.78 = 6.2 show your work

Answers

Answer:

don't cheat

Step-by-step explanation:

no answer for you

2x+5y=-13
3x-5y=14

Solve for x and y

Answers

Answer:

I got x= 1/5 and y= -67/25 (sorry if it is wrong)

Answer:

x= 1/5

y= −67/25

Step-by-step explanation:

If you need help with these sorts of problems, go to math papa.

Insert a question... for example, this question you would type in

"2x+5y=-13;3x-5y=14"

This helps a bunch with a variety of math questions. I also recommend using mathaway!

danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

Answers

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

pls help!! A cylindrical vase has a diameter of 12 inches and a height of 12 inches. If the vase is filled 3/4 full of soil, how many cubic inches of soil are in the vase?

Answers

Answer:

Answer: the vase contains 1017.36 inches³ of soil.

Step-by-step explanation:

We would apply thee formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

h represents the height of the cylinder

r represents the radius of the cylinder.

π is a constant whose value is 3.14

From the information given

Diameter = 12 inches

Radius = diameter /2 = 12/2

Radius = 6 inches

Height = 12 inches

Therefore,

Volume of the cylindrical vase =

3.14 × 6² × 12 = 1356.48 inches³

If the vase is filled 3/4 full of soil, then the volume of soil in the vase is

3/4 × 1356.48 = 1017.36 inches³

For each of the following, use the given information/picture to write an equation in point-slope form. Just the ones that have the yellow highlight.

Answers

Answer:

4. y = -x + 8

9. y = 3/2x + 15

16. y = 1/2x -5

20. y = -3/5x + 16

13. y = -1/2x + 1

14. y =  3/4x - 2

Step-by-step explanation:

4. 5=3(-1)+b = 8

9. 6=-6(3/2)+b=15

16. [tex]\frac{1--2}{12-6} =\frac{3}{6} = \frac{1}{2}[/tex]

     -2= (1/2)6 + b = -5

20. [tex]\frac{19-13}{-5-5}= -\frac{6}{10} =-\frac{3}{5}[/tex]

     19 = -3/5(-5) + b = 16

Help, Its due in 15 minuets!

Answers

Answer:

All Congruent Angle Pairs

1) ∠1 and ∠3 are congruent **

2) ∠2 and ∠4 are congruent

3) ∠6 and ∠8 are congruent

4) ∠5 and ∠7 are congruent

5) ∠1 and ∠7 are congruent

6) ∠2 and ∠8 are congruent **

7) ∠3 and ∠5 are congruent

8) ∠4 and ∠6 are congruent **

Step-by-step explanation:

1) Vertical pairs

2) Vertical pairs

3) Vertical pairs

4) Vertical pairs

5) Alternate exterior angles

6) Alternate exterior angles

7) Alternate interior angles

8) Alternate interior angles

the pairs are

< 1 and < 3

< 4 and < 5

I think 2 and 8

There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x

1. what is the constant proportionality

2. How long will it take to fill 8 bowls

3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS

Answers

Its 1 , i know that because the constant is neverending

how do you solve 18 - (-2)=

Answers

Answer:

the answer would be 20

Step-by-step explanation:

so if 18-(-2)=?

two nwgatives make a positive. So the equation would turn into 18+2=20

Im not 100% if this is right but htis is how I was taught to do it.

Find the area of this sector

Answers

Answer:

7π mm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{280}{360}[/tex] ( r is the radius )

   = π × 3² × [tex]\frac{28}{36}[/tex]

    = 9π × [tex]\frac{7}{9}[/tex] ( cancel the 9's )

    = π × 7

    = 7π mm²

Answer:

0.0146607657 rad m

five more than the quotient of a number and 6 is 30

Answers

Answer:

x = 150

Step-by-step explanation:

5 + x ÷ 6 = 30

x / 6 = 30 - 5

x / 6 = 25

x = 25 x 6

x = 150

An airplane is descending at a rate of 2500m per minute. How much higher was the
plane 10 minutes ago?

Answers

Answer:

25000 Meters high

Step-by-step explanation:

2500 x 10 = 25000

Evaluate 7y - 3y for y=3

Answers

7 . 3 - 3 . 3

= 21 - 9

= 12

Just substitute you y = 3 into the equation

Answer:

The correct answer is 12.

Step-by-step explanation:

To solve this problem, we must plug in 3 for each occurrence of y in the expression because we are given that y = 3.  In this case, we will get the following:

7y - 3y

7(3) - 3(3)

To evaluate, we must simplify this expression.  Due to the order of operations, we should compute the multiplication first.  7*3 = 21 and 3*3=9, so we can plug in these values into our expression.

21 - 9

Now, we can perform the subtraction.

21-9=12

Therefore, the correct answer is 12.

Hope this helps!

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