Question: How many solutions: x + 2y = 6 and 2x − 3y = 26

Answers/Answers to choose from:
One-Solution
Infinitely Many Solutions
Or No Solution

(Basically does the question have only one solution, infinitely many solutions, or does it have no solution) Please don't guess

Answers

Answer 1

Answer:

one-solution

Step-by-step explanation:

(x + 2y = 6)2

2x - 3y = 26

2x + 4y = 12

2x - 3y = 26

7y = -14

y = -2

x + 2(-2) = 6

x + -4 = 6

x = 10

Answer 2

Answer:

One-Solution

Step-by-step explanation:

It is two lines, if they intersect there is one solution, if parallel- no solution, if  same lines- infinitely many solutions

Lets put them in slope-intercept form and compare:

x + 2y = 6 ⇒ 2y = -x + 6 ⇒ y = -1/2x + 32x - 3y = 26 ⇒ 3y = 2x - 26 ⇒ y = 2/3x - 26/3

As we see the lines have different slopes, so they intersect which means one solution only.


Related Questions

3.) Solve:
5x + 3- 3x = 2(x + 3) - 5

Answers

Answer:

0 = -2

Step-by-step explanation:

Answer:

no answer.

Step-by-step explanation:

5x + 3 - 3x = 2(x + 3) - 5             Simplify the left.

2x + 3 = 2(x + 3) - 5                    Remove the brackets

2x + 3 = 2x + 6 - 5                      Simply the right

2x + 3 = 2x + 1                            

It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.

Between which two values would 50% of the data lie? Select all that apply. 15 and 40 15 and 45 40 and 50 45 and 50 45 and 60

Answers

Answer:

The answer is:

(2). 15 and 45

(3). 40 and 50

(5). 45 and 60

Step-by-step explanation:

Hope this helps! Also can i have brainliest?

An ant travels at 45 cm every 3 minutes how far does the ant travel in 1 minute?

Answers

Answer:

15 cm every 1 minute

Step-by-step explanation:

Simply divide 45 by 3

log, (5x + 4) = 3x – 4

Answers

Answer:

X-4

Step-by-step explanation:

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

15 POINTS! Please solve: 3 - 2x = 13 + 3x

Answers

Answer:

x= -2

Step-by-step explanation:

hope this helped <3

3-2x = 13+ 3x
-5x = 10 divide by -5
x= -2


A6 ft tall man standing next to a tree casts a 8 ft shadow. If the tree is 15 ft tall then how long is its shadow?

Answers

Answer:

The tree's shadow is 20 ft long.

Step-by-step explanation:

If you take 6 and 15 and turn it into a fraction 6/15 and take 8 and the missing value (x) and turn that into a fraction 8/x, then you can move to the multiplication.

6/15 *8/x = 6x=120/6

120/6=20

Hope this helps :)

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $

Answers

Answer:

100 + 4 = 104%

40/100 X 104 = 41.6

total cost: $41.60

sales tax: $1.60

Answer:

Tax: $1.6

Total cost: $41.6

Step-by-step explanation:

40*0.04 = 1.6, 40 + 1.6 = 41.6

Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant​

Answers

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

which expression has a value of 50

Answers

Answer:

b

Step-by-step explanation:

(50 +10) / ( 5+5)

-324/18
Plz show all the steps of how you got the answer.

Answers

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

May someone tell me if I’m correct cause I think I’m right but I need to double check with someone thanks

Answers

Answer: Proportional

Step-by-step explanation: Any table that starts with (0,0), it means it’s proportional!


What is the perimeter of the shaded figure?
Square unit

Answers

Answer:

16

Step-by-step explanation:

Need help on this? Please help

Answers

parallel: g(x) = -5/3x + 1

perpendicular: h(x) = 3/5x - 5

neither: j(x) = 2x + 3

Keke had 1,0000,0000,0000,0000,00000,000, points and javonni had 8,0000”00000,00000,00000,000 and Dan need eight zillion More how much does he has before he given more?

Answers

Answer:

Step-by-step explanation:

pls answer!! ty 13 points!!! :))

Answers

Ella's Grade: 15

Minh's Grade: 16

Step-by-step explanation:

If each grade has 20 girls in the grade, then that implies effectively that the ratios would apply via fractions, which are 3:4 and 4:5. As such, take both Fractions and increase them both to 20: 15:20 and 16:20.

Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2

Answers

To compute the limit

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]

notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]

but again, this returns the indeterminate form 0/0. Applying again gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]

so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.

So the limit is 1/16.

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

Answer:

The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.

The second equation is a simplified version of the first one, and can be explained in three ways:

Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.

or

Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths

or

The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.

Hope this helps!

What is 17,242 rounded to the nearest 10,000

Answers

17,242 rounded to the nearest 10,000 is 20,000.

The given number is 17,242.

We need to round the given number to the nearest 10,000.

How to round the given number to the nearest 10,000?

To round a number to the nearest 10,000, check the thousands of digits to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. In the given number the thousands are greater than 5000.

So, 17,242 rounded to the nearest 10,000 is 20,000.

Therefore, 17,242 rounded to the nearest 10,000 is 20,000.

To learn more about rounding to the nearest 10,000 visit:

https://brainly.com/question/310894.

#SPJ2

if 3(x-1) -5(x-4)=8 find the value of x-5 whole 1/2​

Answers

Step-by-step explanation:

3(x-1) -5(x-4) = 8

3x-3 -5x+20 = 8

3x -5x -3 +20 = 8

-2x + 17 = 8

17 -8 = 2x

9 = 2x

2x = 9

x = 9/2

Answer:

3(x-1)-5(x-4)=8

We move all terms to the left:

3(x-1)-5(x-4)-(8)=0

We multiply parentheses

3x-5x-3+20-8=0

We add all the numbers together, and all the variables

-2x+9=0

We move all terms containing x to the left, all other terms to the right

-2x=-9

x=-9/-2

x=4+1/2

What correlation is shown by the scatter plot?

Answers

linear correlation.

I need help with this fast! Thanks!
What is the value of the expression? 9 3/4−2 1/5+1/2

_ -- > Ex: 9 1/7
I need this fast!

Answers

Answer: 8 1/20 or 8.05.

Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.

i don’t know how to do this and it’s due in an hour someone help please

Answers

Answer:

912 divided byt he square root of AB to 5^2

Step-by-step explanation:

Answer:

AB to 5^2

Step-by-step explanation:

Flattykawa -_-

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4

Answers

Answer:

-4

Step-by-step explanation:

When we talk of the horizontal translation, we are dealing with a change in the x value

Initially we had x alone while we had x-4 in the second

What this mean is that there is a change of -4

Answer:

Step-by-step explanation:

i put -4 and wrong, pretty sure its 4

Help me please! This is very confusing.

Answers

Answer: 60°

Step-by-step explanation:

Answer: x=60

Step-by-step explanation:

120+120= 240

360-240= 120

120/2= 60

due in a few hours, i'll give brainliest to the correct answer!!!

Answers

Answer:

Angle a=45, Angle b=45

Step-by-step explanation:

The angles are complementary angles which means they both add up to 90 degrees.  And if angles a and b are equal then its 90/2 which is 45.

Who can answer this?

Answers

Answer:

nonliner and linear c.

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkk

This equation is Linear!!! Good luck

3. Fill in the blank

I NEED THIS ASAP

Answers

Answer:

A. Vaccinations give you a small dose of a virus

vaccination because a vaccination injects some of the virus of bacteria into your body so you body properly learns how to fight it off so in case you do ever get the virus it’s not deadly :)

A ticket at a movie theater costs $9.25.

How many tickets were purchased if the the total cost of tickets was $240.50?

Answers

Answer:

26 tickets

Step-by-step explanation:

240.50 divided by 9.25

Answer:

the answer to this is 26

Step-by-step explanation:

240.50 ÷ 9.25 = 26

Justin drives 7.5 miles in 15 minutes. If he drove three hours in total at the same rate, how far did he go?

Answers

Answer:

Justin drove 90 miles in 3 hours.

Step-by-step explanation:

Given that:

Justin drives 7.5 miles in 15 minutes.

Speed of Justin = [tex]\frac{7.5}{15}[/tex]

Speed of Justin = 0.5 miles per minute

For speed in hours, we will multiply by 60

Speed of Justin = 0.5 * 60 = 30 miles per hour

Distance covered in 3 hours = 30 * 3 = 90 miles

Hence,

Justin drove 90 miles in 3 hours.

The total distance covered by Justin at the same rate is equal to 90 miles.

Given the following data:

Distance A = 7.5 milesTime A = 15 minutesTotal time = 3 hours

Conversion:

1 hour = 60 minutes

3 hours = 180 minutes

To determine the total distance covered by Justin at the same rate:

First of all, we would calculate the rate of Justin's speed as follows:

[tex]Speed =\frac{distance}{time} \\\\Speed =\frac{7.5}{15}[/tex]

Speed = 0.5 miles per min.

For the total distance:

[tex]Total\;distance = speed \times total\;time\\\\Total\;distance = 0.5 \times 180[/tex]

Total distance = 90 miles.

Read more: https://brainly.com/question/10545161

18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?

Answers

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)

Other Questions
What similarities exist between the inaugural addresses discussed by Michael Bechloss? whats 9 times 9 plzzzz help A frozen yogurt shop has a combination of 150 small and medium sized bowls on their counter. Each small bowl hold 4 ounces and each medium bowl holds 6 ounces. If the bowls on the counter will hold a total of 764 ounces, find the number of small and medium sized bowls on the counter What lead to the rise and fall of the Soviet Union? According to the advertisement for a slave auction in Charleston, which qualities did slave owners value in slaves at auction? Why did they value these qualities? NEED HELP ASP!! Who expanded Egyptian trade in the Mediterranean?Ramses IIThutmose IIIKhufuHatshepsut Drag the point A to the location indicated in eachscenario to complete each statement. 2. One of my biggest failures was... Convert the temperature from degrees Celsius to degrees Fahrenheit, using the formula below.F = ( 95 C ) + 3270C = Identifying Motivated StudentsTry itWhich examples show students who are motivated? Check all that apply.A student stays after class to ask the teacher questions about an upcoming test.A student is so focused that she stays everyday after school to work on a project.A student waits until the day before the test to start studying.A student revises his paper multiple times to get it just right."A student socializes with friends frequently during homework time. Use the expression to find the value of the 20th term. A. 24 B. 76 C. 80 D. 84 Determine whether the statement is true or false, and why. If a point mutation occurs in a tumor gene it can become activated. This allows the rate of cell division to increase unregulated.A. False, it should read If a point mutation occurs in a tumor suppressor gene it can become inactivated. This allows the rate of cell division to increase unregulated.B. TrueC. False, it should read If a point mutation occurs in a tumor suppressor gene it can become inactivated. This inhibits the rate of cell division decreasing it drastically.D. False, it should read If a point mutation occurs in a Proto-oncogene gene it can become inactivated. This allows the rate of cell division to increase unregulated. John picks 6 pounds of strawberries. He wants to give 1/3 pound to his friends. How many friends can he give strawberries to? A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item. Cost of washer:Cost of dryer: What is a social movement?I How did John Marshall increase the power of federal government through the commerce clause in Gibbens v. Ogden? Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, inmiles, Marisol traveled after driving for t hours.d = 45t Which of the following statements correctly identifies the location of the hydrogen bonds in DNA?Between the sugar and the phosphate of adjacent nucleotidesBetween the phosphate and the complimentary nitrogen baseBetween adenine and itsliyomplementary nitrogen base uracilBetween thymine and its complementary nitrogen base adenine Which statement best illustrates a basic idea of President Franklin D. Roosevelt's NewDeal?A. Communism provides the only real solution to economic problems.B. Unemployed workers should rely on the states rather than on the federal governmentfor help.C. The United States reached its economic peak in the 1920s and is now a decliningindustrial power.D. The economy sometimes needs public money to encourage business activity. What is the CORRECT answer to this?