Solve the system of linear equations. Y=-1/6x+5 and x+6y=30 Can you explain the steps?

Answers

Answer 1

Answer:

Infinitely many solutions

Step-by-step explanation:

y = -1/6x + 5

x + 6y = 30

We can solve this system by using substitution or elimination. Since we are given an isolated y-value, I'll be using the substitution method.

Substitute y = -1/6x + 5 into the second equation for y.

x + 6(-1/6x + 5) = 30

Distribute 6 inside the parentheses.

x - x + 30 = 30

Combine like terms.

30 = 30

Since this is a true statement, we can conclude that this system has a solution of all real numbers, or infinitely many solutions.

We can also see that these equations are indeed equivalent by multiplying the top equation by 6.

6 * (y = -1/6x + 5) → 6y = -x + 30

Adding x to both sides and rearranging terms gives us x + 6y = 30, which is the same as the second equation.


Related Questions

y
3
2
c
-4
-3 -2 -1
-1+
1 2 3 4
-2+
-3+
-4+
41
What is the slope of the line?

Answers

Answer:

1

Step-by-step explanation:

(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)

What is the slope of a line parallel to the line whose equation is 18x - 3y = -45 fully reduce your answer

Answers

The slope of the line would be positive 6.First you move the 18x over by subtracting maki it negative x.Then divide the -3 into -18 making 6x.

-1/4d-2/5d=39
Solve for d
Please explain I don’t understand

Answers

Answer:

d = -60

Step-by-step explanation:

Given:

-1/4d - 2/5d = 39

-5d-8d/20 = 39

-13/20d = 39

Divide both sides by -13/20

d = 39 ÷ -13/20

= 39 × -20/13

= -60

d = -60

Allison lives 380 miles from her grandmother. She plans to drive to her grandmother's house for the weekend. She will drive an average of 60 miles per hour. Which equation represents the distance (d) Allison has left to drive after h hours?

A. D=380+60h

B. D=(380-60)h

C. D=380-60h

D. D=380h-60

Answers

Answer:

its b

Step-by-step explanation:

The equation that represents the distance (d) Allison has left to drive after h hours is given by: Option C: d = 380 - 60h

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're given that:

Allison lives 380 miles from her grandmotherShe will drive an average of 60 miles per hour. Distance that Allison has left to drive represented by 'd' (in miles) after h hours.

In 1 hour, she averagely covers 60 miles.

In h hours, she averagely covers [tex]60 \times h[/tex] hours

d = distance remaining for her to reach to her grandmother's home after h hours of driving

d = Total distance - distance traveled in h hours

d = 380 - 60×h

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, so 60×h can be simply written 60h)

Thus, the equation that represents the distance (d) Allison has left to drive after h hours is given by: Option C: d = 380 - 60h

Learn more about forming equations here:

https://brainly.com/question/11938672

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

70 i am 100 percent sure

Step-by-step explanation:

1:10

7     70

P + N = 8, where P = pennies and N = nickels. If the value of the coins is 28 cents, what other equation is necessary to find the number of each coin?
Select one:

a.
P + 5N = 28

b.
5P + N = 28

c.
P + 28 = 5N

d.
(1 + 5)N = P

e.
8 + N = 28

Answers

Answer:

a.

P + 5N 28

Step-by-step explanation:

The value of the coins is 28 cents. This means that if one were to account for the total money, it would amount to 28. So one would multiply the number of nickles by 5, (because one nickel is 5 cents), and the number of pennies by 1, (because a penny is one cent). The one would add the resulting values up to attain 28. The equation given in option A represents that, hence it is the correct answer.

Write 8 as a product of primes.
Use index notation

Answers

Answer:

Step-by-step explanation:

8 = 2 × 2 × 2 = 2³

-2j =-90


Answer:
j = ?

Answer the ? Mark pls

Answers

Answer:

j = 45

Step-by-step explanation:

-2j =-90

Divide each side by -2

-2j/-2 = -90/-2

j = 45

Answer:

[tex]\huge\boxed{j=45}[/tex]

Step-by-step explanation:

[tex]-2j=-90\qquad|\text{divide both sides by (-2)}\\\\\dfrac{-2j}{-2}=\dfrac{-90}{-2}\qquad|\text{we know}\ \dfrac{(-)}{(-)}\to(+)\\\\\dfrac{2\!\!\!\!\diagup j}{2\!\!\!\!\diagup}=\dfrac{90}{2}\\\\j=45[/tex]

Lane bought 12 pencils for
$0.39 each. What was the total cost of the
pencils before sales tax was added?

Answers

Answer:

$4.68

Step-by-step explanation:

if you do 0.39 x 12 you get 4.68

Answer:

$4.68

Step-by-step explanation:

12x0.39=$4.68

Expand and simplify: (2x-3)2

Answers

Answer:

4x-6

Step-by-step explanation:

2(2x) - 2(3)

4x-6

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .

Answers

Answer:its 3/4th gallons

Step-by-step explanation:

Answer:

5 is the answer i believe

Step-by-step explanation:if you add the xs together you get 4 the 1/2 plus 1/2 half = 1 so add 4 plus 1 you get 5

#3: A home security company provides security systems for $5 per week plus an installation fee. The total fee for 12 weeks of service is $210. Write and solve a linear equation to find the cost of the installation fee.

Answers

Answer:

The installation fee is $150

Step-by-step explanation:

Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...

$210-$60=$150

Find:-
1) Complement of 75 degree
2) Complement of 40 degree
3) Complement of 71 degree
4) Complement of 101 degree ​

Answers

Given :

Some angles in degree.

To Find :

1) Complement of 75 degree

2) Complement of 40 degree

3) Complement of 71 degree

4) Complement of 101 degree ​

Solution :

We know, two angles are complement when their sum is 90 degree.

1) Complement of 75 degree is, 90 - 75 = 15 degree.

2) Complement of 40 degree is, 90 - 40 = 50 degree.

3) Complement of 71 degree is, 90 - 71 = 19 degree.

4) Complement of 101 degree is, 90 - ( -101 ) = 191 degree.

Hence, this is the required solution.

12. Is 3 a solution to the equation 3x - 5
= 4 + 2x ? Explain
I

Answers

Answer:

No

Step-by-step explanation:

3x-5= 4+2x

Or, x=4+5

x=9

3x-5=4+2x
= 3x-5 + 5= 4 + 2x
= 3x = 4+ 2x
= 3x/2x = 4 + 2x/2x
= X = 4

14.4x - 28.2 > 36.6

What is the solution to the inequality? Enter the answer in the box.

X>

What’s is this??

Answers

Answer:

x > 4.5

Step-by-step explanation:

Given the inequality :

14.4x - 28.2 > 36.6

Collect like terms

14.4x > 36.6 + 28.2

14.4x > 64.8

Divide both sides by 14.4

x > 64.8 / 14.4

x > 4.5

please help need brainliest

Kip bought one and four sixths pounds of toffee. He gave five sixths of a pound to his friend. How much toffee does Kip have left?

(A )five sixths pound

(B )four sixths pound

(C )two and three sixths pounds

(D )one and one sixth pounds

Answers

Answer:

d

Step-by-step explanation:

if any body does Lincoln Douglas debate, please let me know because I could use some help with how wording on part of my case.

Answers

Answer:

Step-by-step explanation:

the Lincoln-Douglas debates propelled Lincoln's political career into the national spotlight, while simultaneously stifling Douglas' career, and foreshadowing the 1860 Election. By 1858, Stephen A. Douglas was the most prominent politician in the West. Lincoln-Douglas debates, series of seven debates between the Democratic senator Stephen A. Douglas and Republican challenger Abraham Lincoln during the 1858 Illinois senatorial campaign, largely concerning the issue of slavery extension into the territories. The result of the debates was inconclusive. Senators were then chosen by state legislatures, and in the 1858 legislative election, Illinois Republican candidates slightly outpolled their Democratic rivals. Southerners believed that Abraham Lincoln was an abolitionist and also felt betrayed by Stephen Douglas's suggestion that territories could refuse to grant slavery legal protection. In 1860, Lincoln won the Republican Party's presidential nomination.In that election, he faced Douglas (again), who represented the Northern faction of a heavily divided Democratic Party, as well as Southern Democrat John C. Breckinridge and Constitutional Union candidate John Bell.

Find the values of x and y in the equation below.
aby
08
y =
DONEM

Answers

Answer:

x=6

y=18

Step-by-step explanation:

I just took the assignment in edg ;)

Which of the following sets of numbers could be the side lengths ofa right triangle?
5, 12, 13
5, 5, 9
14, 14, 14
2,3, 5

Answers

Answer:

if the sum of any 2 sides is equal to or less than the third side it is Not a triangle.

So A :- we have 2+4 = 6 so its not a triangle.

also D is not a triangle because 8+3 < 12

what about B and C?

HOPE IT HELPED!

Leo ordered shirts for 12 members of the social work team. He had each person's
name printed on the shirt for an added cost of $3 per shirt. If the total cost of the
order was $96, how much did each shirt cost before the names were printed?

Answers

Answer:

$5

Step-by-step explanation:

12x3=36

96-36=60

60/12=5

$5

Answer:

$32

Step-by-step explanation:

If u take 96 and divide it by 3 you get 32

7 + 24 .3
31
55
c
96
112

Answers

Answer:

The answer is 325.3

Step-by-step explanation:

I hope this helped I used a calculator sorry if I'm late and I hope this isn't wrong

Can you please help me:)​

Answers

9514 1404 393

Answer:

  (Bashir) x +29; (Deb) x -5

Step-by-step explanation:

We are told that ...

  Jin raised x dollars

  Bashir raised $29 more, so (x +29).

  Deb raised $34 less than Bashir, so (x+29)-34 = (x -5).

In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.

A: 1/2
B: 1/4
C: 1/5
D: 1/25

Answers

I’m stuck on c or b buttttt my best guess is c tell me if this helped :)

ITS MATH I NEED HELP

Answers

Answer:

undefined

Step-by-step explanation:

well the slope is

[tex]m = \frac{\Delta y}{\Delta x}\\\\=\frac{1-3}{4-4}=\frac{-2}{0}[/tex]

which is undefined

the slope is Zero ............

happy new year. eeeeeeeee e ​

Answers

Answer:

yeah happy new year but your answer is D

Step-by-step explanation:

I'm good at math

Answer:

CAN YOU PLEASE HELP ME!!....

Answers

Answer:

I have no idea sorry :c

Step-by-step explanation:

Given the linear inequality graph, which statements are true?
A)
Point (8,3) is a solution.
B)
The graph represents y
- 1 x + 5.
9
The graph represents y s 3x + 5.
D
All points in the blue area are solutions.
E)
All points above the broken line are solutions,

Answers

Answer: answer is b

Step-by-step explanation: I know it’s b

if it takes 2 men, 3 days to paint a house how long will it take 6 men

Answers

hire 6 men and time then with a stopwatch and then you have your answer

Please help me I’ll give all my coins!

Answers

x = 3



-4 - 5x + 10x + 9 = 20

-4 + 5x + 9 = 20

5x + 5 = 20

5x + 5 - 5 = 20 - 5

5x = 15

5x/5 = 15/5

x=3

Answer:

x=3

Step-by-step explanation:

-4-5x+10x+9=20 ] +4

-5x+10x+9=20+4 ] -9

-5x+10x=24-9

5x=15

15:5=3

x=3

Hellllllllllo aluachantar
Answer this I can’t seem how
What’s 2+2 then -3?

Answers

Answer:

1

Step-by-step explanation:

2+2=4

4-3=1

2+2=4. Because of PEMAS we have to add first, and then subtract. So next you do 4-3 and you’ll get 1 as your answer :)
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