solve the system by substitution......

Solve The System By Substitution......

Answers

Answer 1

Answer:

(4,8) is the answer.

Step-by-step explanation:

To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:

[tex]2x=-2x+16[/tex]

Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:

[tex]4x=16[/tex]

Now divide by 4 on both sides to get:

[tex]x=4[/tex]

That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:

[tex]y=2(4)\\y=8[/tex]

Therefore the solution to this problem is (4,8).


Related Questions

The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?

Answers

Answer:

16

Step-by-step explanation:

number of sides = (sum of interior angles / 180) + 2

(2520 / 180) + 2 = 16 sides

- 63 y^5
27y^7
- 18y^9
Take out the common factor ​

Answers

Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

The perpendicular sides of a triangular rug measure 3 feet and 4 feet. Calculate the perimeter of the rug. a. 39 ft c. 21 ft b. 7 ft d. 12 ft Please select the best answer from the choices provided A B C D

Answers

Answer:

D

Step-by-step explanation:

In the comments tell me if you want me to explain.

Answer:

D

Step-by-step explanation:

edge2021

Given the function h(t) = 2t second power + 9, evaluate h(5).​

Answers

Step-by-step explanation:

hope this help you! have a great day

Suppose that you're paid $63.24 for 7 hours of work. What is your hourly pay rate?

Answers

Answer:

$9.03

Step-by-step explanation:

Using x for pay rate

63.24=7x Divide both sides by 7

x=9.03

PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

prove trigonometric identity:

[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help​

Answers

from the pic above, hope it helps you

Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.

What was the original price of the sweater, in dollars​

Answers

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation: Sorry if this doesn't help....

Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills

Answers

Answer:

[tex]Change = \$8[/tex]

Step-by-step explanation:

Given

[tex]Bills = $20\ bills[/tex] (4)

[tex]Shirt = \$42[/tex]

[tex]Sweater= \$30[/tex]

Required

The change

First, we determine the amount paid,

To do this, multiply the number of bills by the worth of each bill.

So, we have:

[tex]Amount = 4 * \$20[/tex]

[tex]Amount = \$80[/tex]

Next, calculate the worth if item bought

[tex]Items = \$42 + \$30[/tex]

[tex]Items = \$72[/tex]

Subtract the items from the amount to get the change.

[tex]Change = \$80 - \$72[/tex]

[tex]Change = \$8[/tex]

2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum

Answers

Answer:

mad- 8.9796

iqr- 15

q1- 88

q2- 92

q3- 103

minimum- 85

maximum- 120

Step-by-step explanation:

the explanation is the picture **sorry i couldn't help with the dot plot**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation​

Answers

Answer:

Step-by-step explanation:

C sampling

What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84​

Answers

Answer:

below

Step-by-step explanation:

first count them up

17

divide it by 16 its d

The probability of picking any color balloon except for red at random is 82%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Red balloon = 3

Blue balloon = 2

Pink balloon = 2

Green balloon = 2

Orange balloon = 2

light Blue = 1

Yellow balloon = 2

Purple balloon = 2

So, the probability of picking any color balloon except for red at random

= 13/ 16 x 100

= 81.25 %

Thus, the required percentage is 82%.

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ2

A population of 65 foxes in a wildlife preserve triples in size every 12 years. The function y = 65.3*, where x is the number of 12-year periods, models the population growth. How
many foxes will there be after 36 years?
After 36 years there will be foxes. (Type a whole number.)

Answers

Answer:

585 foxes

Step-by-step explanation:

36/12 = 3    

That means there are 3 fifteen-year periods in 36 years.  

So after 3 fifteen-year periods, there will be 65 × 3³ foxes

That is 75(27) foxes  

585 foxes

Question: Explain the Difference between an equation and an expression

Answers

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.

PLEASE ANSWER AS SOON AS POSSIBLE

Answers

Answer:

$405,44

Step-by-step explanation:

First of all we have to find how much the tv cost after 15% of discount.

we can use this proportion

15 : 100 = x : 499.99

x = (15*499.99)/100 = $74.9985

then we have to subtract the initial value to the value of the discount

499.99-74.9985 = $424,9915

thanks to the card we can apply another 10%

10 : 100 = x : 424,9915

x = (424,9915 *10)/100 = $42,49915

424,9915-42,49915 = $382,49235

now we have to apply taxes

6:100 = x : 382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

that can be rewrite as $405,44

If we want to write an equation to solve this problem we can use this

499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x

Can someone please give me the answer I will mark u brilliant

Answers

Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.

Step-by-step explanation:

First Solid

V= l*w*h

V= 5/8*3/4*2

V= 15/16

15/16 as a decimal is 0.9375

Second Solid

V= l*w*h

V= 6*7/12*1/2

V=  7/4

7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.

please i’ve gotten two wrong and i need to pass this

Answers

Answer:5 and 92

Step-by-step explanation:

Answer:

Step-by-step explanation:

what's the answer choices ??

use division to rename each fraction given below 12/20

Answers

Answer:

[tex]Fraction = \frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Fraction = \frac{12}{20}[/tex]

Required

Rename using division

This simply means that we reduce the fraction

So, we have:

[tex]Fraction = \frac{12}{20}[/tex]

Divide by 4/4

[tex]Fraction = \frac{12/4}{20/4}[/tex]

[tex]Fraction = \frac{3}{5}[/tex]

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.

Answers

The answer should be 2.35

A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.

Answers

Answer:

a=41.2

Step-by-step explanation:

a^2 + (30)^2. =51^2

a^2+900=2601

-900. -900

a^2= +\- square root 1701

a=41.243181

a=41.2

Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?

Answers

Answer:

3c + 43 >_ 100

Step-by-step explanation:

Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?

A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.

Answers

C. 9 years.
Hopefully this helps

Question
What was the equation of the graph below before it was shifted to the right 1
unit?

Answers

B
I think sorry if wrong

The answer of 4.38 x 10^4 in ordinary notation is

Answers

4,38 * 10⁴ = 4,38 * 10 000 = 43 800

Which is a measure of the efficiency of an investment?
A.efficiency cocfficient
B.return on investment
C.return rato

Answers

Answer:

B. return on investment

Step-by-step explanation:

Return on Investment (ROI) is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.

15 + z = 17.04

What is Z?

Answers

Answer:

2.04

Step-by-step explanation:

To find this we have to subtract 15 from both sides.

15 + z = 17.04

-15        -15

z = 2.04

help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)

Answers

Answer:

9

Step-by-step explanation:

We're using the Pythagorean theorem here since it's a right triangle.

a^2 (side) + b^2 (side) = c^2 (hypotenuse)

12 = a

x = b

15 = c

12^2 + b^2 = 15^2

144 + b^2 = 225

- 144             - 144 (subtracting 144 from both sides to isolate b)

b^2 = 81

[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)

b = 9

x = 9

The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these. None, Positive, or Negative thanks so much.

Answers

1. No correlation

Those things don't really relate to each other.

2. Positive correlation

The higher the amount you drive your car, the more you'll have to pay for gas.

3. Negative correlation

More people = less soda.

4x + 3 2x+9 solve for x

Answers

4x+3+2x+9=180
6x+12=180
6x=168
x=28

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given figure

4x + 3° ...(1)

2x + 9° ...(2)

Now, we know that the sum of all angle is 180° on a straight line

So,

4x + 3° + 2x + 9° = 180°

6x + 12° = 180°

6x = 180° - 12°

6x = 168°

x = 168° ÷ 6

x = 28°

Thus, The value of x is 28°

FOR VERIFICATION ONLY:-

4x + 3° + 2x + 9° = 180°

4(28) + 3° + 2(28) + 9° = 180°

112° + 3° + 56° + 9° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Area = ???????????????

Answers

Answer:

x^2+10x+21

Step-by-step explanation:

Blue box: x*x=x^2

Green box: x*3=3x

Purple box: 7*x=7x

Orange box: 7*3=21

x^2+(3x+7x)+21

Combine like term

A: x^2+10x+21

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