2x + 3y = 16
2 + 2y = 10

Answers

Answer 1

1. −

2

x

+

3

y

=

16

Solve for

y

.

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Add

2

x

to both sides of the equation.

3

y

=

16

+

2

x

Divide each term by

3

and simplify.

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y

=

16

3

+

2

x

3

Rewrite in slope-intercept form.

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The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Reorder

16

3

and

2

x

3

.

y

=

2

x

3

+

16

3

Rewrite in slope-intercept form.

y

=

2

3

x

+

16

3

Use the slope-intercept form to find the slope and y-intercept.

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Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

2

3

b

=

16

3

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

2

3

y-intercept:

16

3

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

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Choose

1

to substitute in for

x

to find the ordered pair.

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y

=

6

Choose

0

to substitute in for

x

to find the ordered pair.

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y

=

16

3

Create a table of the

x

and

y

values.

x

y

0

16

3

1

6

Graph the line using the slope and the y-intercept, or the points.

Slope:

2

3

y-intercept:

16

3

x

y

0

16

3

1

6

2.

Isolate the variable by dividing each side by factors that don't contain the variable.

y=4


Related Questions

In AIJK, i = 1.3 cm, j = 6.8 cm and ZK=45°. Find the length of k, to the nearest 10th
of a centimeter.

Answers

Answer: 6

Step-by-step explanation: DeltaMath


Find the length of side x in simplest radical form with a rational denominator.
45 degree
45 degrees
CS

Answers

The length of the side is 1/√2 or √2/2 units after applying the sin ratio.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Using sin ratio to find the value of x:

sin45 = X/1

1/√2 = X/1

X = (1/√2)(√2/√2)

X = √2/2

Thus, the length of the side is 1/√2 or √2/2 units after applying the sin ratio.

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Helppppppp pleaseeeee

Answers

Answer:

x=6

Step-by-step explanation:

3x+12=5x

12=5x-3x

12=2x

6=x

x=6

Hope this helps! :)

What is the solution to the equation 5(x - 2) - 3x = 6x + 26?

Answers

Answer:

x= -9

Step-by-step explanation:

Answer:

x= -9

Step-by-step explanation:

5(x-2) -3x= 6x + 26

5x-10 -3x= 6x+26

2x-10= 6x+26

-36= 4x

-9 = x

100 points to who ever can help me with this. Which two ratios represent quantities tyat are proportional​

Answers

Answer: D

Step-by-step explanation:

3/4= 0.75

5/12=0.41

so it's not correct

32/20=1.6

22/10=2.2

so it's not correct

7/5=1.4

14/9=1.5

so it's not correct

45/18= 2.5

35/14= 2.5

so it's correct

so it's

Answer:

D

Step-by-step explanation:

Emily sold 132 boxes of cookies for a fundraiser. If she sold 80% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?

Answers

Answer:

165

Step-by-step explanation:

132x100= 13200

13200divide 80 = 165

What is 4 a whole number as a fraction

note: this is for my little sister!

Answers

Answer:

4/1

Step-by-step explanation:

Dividing any number by 1 gives you the same number, therefore 4/1 is the fraction form.

In the figure below, lines L and M are parallel and line AB = line BC = line AC. What is the measure of the exterior angle
at angle C?

*check the picture*

Answers

Answer:

120º

Step-by-step explanation:

angles of an equilateral triangle are equal so..

180 ÷ 3 = 60º

to get the exterior m⦣C

180 - interior m⦣C = exterior m⦣C

180º - 60º = 120º

Solve for m.

-5m = -35

Answers

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{Solving\ for\ m.}\\\\\bold{-5m=-35}[/tex]

[tex]\bold{-5m=-35}\\\bold{DIVIDE\ by\ (-5)\ to\ BOTH\ SIDES}\\\\\bold{\dfrac{-5}{-5}=\dfrac{-35}{-5}}\\\\\bold{Cancel: \dfrac{-5}{-5}}\ \bold{because\ it\ equals\ 1.}}}\\\\\bold{Keep: \dfrac{-35}{-5}\ because\ it\ helps\ us\ solve\ for\ m.}\\\\\bold{m =\dfrac{-35}{-5}}\\\\\\\bold{Solve\ above\ and\ you\ have\ m}\\\\\boxed{\boxed{\bold{Answer: 7}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040}[/tex]

The value of m is 7 in the equation [tex]-5m = -35.[/tex]

The given equation is [tex]-5m = -35[/tex].

In the equation, the variable is m.

To find the value of m, divide both sides by 5:

[tex]-m=-\frac{35}{5}[/tex]

[tex]-m=-7[/tex]

The minus sign on both sides will be cancelled.

[tex]m=7[/tex]

Hence, the value of m is 7 in the equation [tex]-5m = -35.[/tex]

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Simplify the expression. Drag and drop a number into each box to complete the simplification.

Answers

Answer:

1. 3

2. 27

3. 9

4. 90

5. 180

A total of 366 tickets were sold for the school play. They were elther adult tickets or student tickets. The number of student tickets sold was two times the
of number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

122 adult tickets

Step-by-step explanation:

x + y = 366

y = 2x

x + 2x = 366

3x = 366

x = 122

Hope this helps. Please give brainliest.

PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!
Graph y=−1.25x+7
Answer the following:
a)What is the y−intercept?
b)What is the slope (in fraction form)?
c)Is your slope positive or negative?
d)Explain how you plotted your second point.

Answers

Answer:

A. (0,7)

B. -1.25

C. Negative

D. I started at (0,7), then plotted the second point by moving the point down 5 and right 4.

Step-by-step explanation:

Look at the equation more carefully.

I hope this helps :)

Answer:

Step-by-step explanation:

y interept is +7

the slope in fraction form is y=-5/4+7

the slope is negative even though it looks like it is not going up or down

if that it is wrong then it is an undefined slope

other points you can plot- (1, 5.75) and (2, 5.75)

6 squared + b squared = 10

Answers

Answer:

Step-by-step explanation:

6 square +b squer =10squer

36+bsqure=100

Step-by-step explanation:

√bsqher=√64

b=8

Please help me with both questions :(

Answers

Answer:

2.) $520

3.) less

Step-by-step explanation:

I'm going to assume that the interst is compoudning and is convertable once a year

The compound interest formula for interest compounding only once a year is as follows

[tex]AV=PV(1+i)^n[/tex]

plug in the numbers and get

[tex]500(1+.04)^{1}=500*1.04=520[/tex]

3.) If the interest rate is lower at the credit union he would obvioulsy be paying less (assuming that this interest rate is convertable annually as well)

Which of the following is the equation of a line in slope-intercept form for a line with slope = and yintercept at (0,-2)? 2 2 O A. y A. y=-}x+ O B. y=-x-2 O c. y=-2x - 2 WIN O D. y= x 2​

Answers

Answer:

D.

Step-by-step explanation:

Write slope-intercept in the form y = mx + b. Where m is slope and b is the y-intercept.

Hope it helps!

If one of the 50 states is chosen at random, then a standard die is rolled, Find the probability of getting a state that starts with the letter N, then a number that is at least 2.

a​

Answers

The final answer is 2/15 or 0.133
Step-by-step explanation:
The US States that start with an "N" are:
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
North Carolina
North Dakota
The probability of selecting a state that starts with an N is 8/50
The probability of rolling at least a two is 5/6.

Solve for p.

​2(p+1)=18

the answer is not a fraction

Answers

Answer:

p = 8

Step-by-step explanation:

2(8 + 1) = 18

2(9) = 18

18 = 18

2(p + 1) = 18. ****We will be using distributive property to solve for this equation.

2(p + 1) = 18
2p + 2 = 18 ***now, we want to get rid of the 2 from the left side so we will subtract 2 from both sides.

2p + 2 - 2 = 18 - 2
2p = 16. ****Now, we can divide both sides by 2 because we want to get rid of the 2 from the left side so that we are just left with P and our answer.

2p = 16
2p/2 = 16/2
P = 8

So, in conclusion, P is equal to 8.

Solve the simultaneous equations
-x + 4y = 12
x + y = - 7

Answers

Answer:

y = 1, x = - 8

or

(-8, 1)

Step-by-step explanation:

-x + 4y = 12

x + y = -7

add the equations together

0x + 5y = 5

5y = 5

y = 1

substitute y for 1 in one of the original equations to find x

x + y = -7

x + 1 = -7

x + 1 - 1 = - 7 - 1

x = - 7 - 1

x = -8

Answer:

y = 1, x = - 8 or (-8,1)

Step-by-step explanation:

......

Pentagon DEFGH was translated 2 units left and 4 units up to create pentagon D’E’F’G’H’. Which rule describes this transformation?
A.(x,y)--->(x-2,y-4)
B.(x,y)--->(x+4,y+2)
C.(x,y)--->(x-2,y+4)
D.(x,y)--->(x-4,y+2)

Answers

A.(x,y)--->(x-2,y-4)

Help find the slope in the picture below

Answers

2/2

You just have to see in which two ponts is the line crossing

Answer:

Step-by-step explanation:

x=10. Explanation: = (x−9)2=1. Taking square root on both sides. = x−9=1. = x= 10

A bag of Takis holds 200 chips when full.
De'Andre eats 5 chips per second.
How many seconds will it take to eat 75% of the bag of Takis?

Answers

Answer 1200

Step-by-step explanation:

Answer

30 seconds

Step-by-step explanation:

Help me I have no idea how to do this and please give me an actual answer don’t do it just for the points

Answers

Answer:

i am sorry i don't know the answer it would be great if you provide more information

Step-by-step explanation:

Plzzzzzzzzzzz answerrrr

Answers

Answer:

A) 4.3

Step-by-step explanation:

hope this helps!!!

Answer:

D

Step-by-step explanation:

It is a right angled triangle so you can use the SOH-CAH-TOA rules of trigonometry:

We have the hypotenuse and need to find the length adjacent to the angle so use CAH

cos 70 = x / 12

x = 12cos70 = 4.104...

D

Please answer with explanation thank you

Answers

9514 1404 393

Answer:

ACB

Step-by-step explanation:

On a position-time graph, "does not move" means the position is a constant—a horizontal line.

"Positive velocity" means the position is increasing as time increases. The graph goes up to the right. The rate of change (slope) is the velocity.

"Negative velocity" means the position is decreasing as time increases. The graph goes down to the right. Again, the rate of change (slope) is the velocity.

The various sections of the graph are identified in the attachment.

8.

Which relation is a function?



A. {(5, 0), (0, –8), (5, –5)}


B. {(5, 0), (–8, –5), (–8, 5), (–5, –8)}


C. {(5, 0,) (–8, –5)}


D. {(5, 0), (0, 5), (–5, –5)}

Answers

Answer:

The answer is C. {(5,0), (-8,-5)}

Step-by-step explanation:

find the mean deviation about the mean for the data 4,7,8,9,10,12,13,17?​

Answers

Answer:

Answer is 3

Step-by-step explanation:

Mean of the given data=sum of all terms/total number of terms

x= 4+7+8+9+10+12+13+17/8

=80/8

=10

Mean deviation about mean

={|xi-x|/8

=24/8

=3

I hope it's helpful!

Childe, needs help please

Answers

i don’t know the first part but i think the second part would be 4^11

Can you please help me with this question ASAP I will give 25 points can you give it with an explanation because I need to show it

Answers

It’s b because if you add up the full amount of all the snacks it is 20 . And that number is going to be the bottom number. So the other ones aren’t right because they don’t have 20 as the bottom number.
Hope this helps :)

352 divided by 25 multiplied by 2 subtracted by 3

Answers

Answer:

25.16

Step-by-step explanation:

Answer:

25.16

Step-by-step explanation:

A=(352/25 *2) - 3 = 25.16.

Ella is selling cookies for $4 per dozen. She pays $10 for ingredients (this will be a negative number because she PAID). If she ends up with a profit of $66 how many dozen cookies did she sell?

Answers

Answer:

19 dozen cookies

Step-by-step explanation:

19x4 is 76. She paid 10 dollars so 76-10 is 66. This is the correct number.

Hope it helps!

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