What is the solution of the following system? Use the substitution method.
y – 2x = 8
16 + 4x = 2y

O The only solution is (24, 0).
O The only solution is (1, 10).
○There is no solution.
O There are an infinite number of solutions.​

Answers

Answer 1

Answer:

y-2x=8 (label equation 1)

16+4x=2y (label equation 2)

divide equation 2 by 2 to find y

y=2x+8

sub this in equation 1

(2x+8)-2x=8

2x+8-2x=8

8=8

once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B


Related Questions

State the slope and the y-intercept in each equation. Then graph each linear equation. Be sure to fill out the entire graph and connect the points! Helpppppppppp

Answers

Answer:

Step-by-step explanation:

Use y = mx + b so:

m = 1/2

b = 3

m= - 1/2
b= 3

To graph, start at your b (y intercept) and mark that number on the y-axis. Then continue to build your line using your slope. To do that, start at your b and go down 1 and over 2. Continue until the end of the plane. Then, since it is a negative slope, work your way up 1 and over 2. Then connect your points to get your line.

Hope that helps!


What is the equation of a line that has slope = -4 and y-intercept is (0, 3)?

Answers

Answer:

y= -4x + 3

x is slope and when there is 0 for x in a pair then that is the y intercept

Please help will give Brain to right person

Answers

okay so i’m 100% because i just started learning this but i think ASA

A supersized laundry detergent has 60% more detergent than the regular size. The supersized has 144 ounces. How many ounces of the detergent are in the regular size

Answers

Answer:

90 ounce in regular size

Step-by-step explanation:

The number of ounces of the detergent are in the regular size is 90 ounces.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Percentage of detergent=60%

Number of ounces= 144

Now,

To find how many ounces of detergent are in the regular size, we need to use the information that the supersized has 60% more detergent than the regular size. This means that if we let x be the number of ounces in the regular size, then 144 is equal to x plus 60% of x. We can write this as an equation:

144 = x + 0.6x

To solve for x, we need to combine like terms and isolate x on one side of the equation:

144 = 1.6x x = 144/1.6 x = 90

Therefore, by the given percentage the answer will be 90 ounces.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Find the slope between the points (-1,5), (4, 8)​

Answers

Answer:

Are you sure thats all you are given?

Can someone help me with this problem? 3 + (-7 + y)

Answers

Answer:

−4+y

Step-by-step explanation:

3+(−7+y)

Subtract 7 from 3 to get −4.

−4+y

Solve using polynomial long division and please show work:
(5x^4 + 21x^3+ 5x^2- 9x - 6)/(5x^2 + 6x + 2)

Answers

9514 1404 393

Answer:

  x² +3x -3 +3x/(5x² +6x +2)

Step-by-step explanation:

As with any long division, you formulate a partial quotient, then subtract the product of that and the divisor from the dividend. The result is a new dividend. You're done when the degree of the dividend is less than the degree of the divisor.

The partial quotient term is simply the ratio of the highest-degree terms in the dividend and the divisor. (That is what makes it easier than numerical long division.)

_____

Web page formatting cut off part of the "Hints" in the first attachment. The second attachment shows the full "Hints."

5 divided by 6.25 please

Answers

Answer:

0.8

Step-by-step explanation:

5 ÷ 6.25 = 0.8

You can do this on a calculator.

graph the equation...
0.5s+4a=15​

Answers

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

please please please please just answer quickly i have short time left

Answers

9514 1404 393

Answer:

  (x, y) = (10, 4)

Step-by-step explanation:

Opposite sides are the same length, so ...

  ON = LM

  6x -3 = 4x +17

  2x = 20 . . . . . . . . add 3-4x

  x = 10

__

  OL = NM

  x -5 = 3y -7

  10 -5 + 7 = 3y . . . . . substitute x, add 7

  12/3 = y = 4 . . . . . .  simplify, divide by 3

The values of x and y are 10 and 4, respectively.

Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.

Equation: y=

Answers

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

PLEASE HELP ASAP Will MAKE BRAINLIST

Answers

Answer:

The second answer is correct

Steve is trying to figure out the ages of his 3 uncles.

Uncle Bill is twice as old as Uncle Tom. Uncle Keith is
5 more than Uncle Bill. He knows that the sum of their ages is 75.

What are the ages of his 3 uncles?

Answers

Tom = 14
Bill = 28
Keith = 33


Tom = x
Bill = 2x
Keith = 2x+5

5x+5 = 75
5x = 70
x = 14

Tom = x = 14
Bill = 2x = 28
Keith = 2x+5 = 33

(Smart people will get this) #10

Answers

Answer:

OH OKK NICE TELLING ME

Step-by-step explanation:

Solve the following:

4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2

Answers

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

What is the mean temperature for the 10 days?

Answer chooses ::
A.12

B. 26

C. 35

D. 46

Answers

Answer:

46

add all the number together and divide by how many there is

Can you Help me please

Answers

Answer:

-1

Step-by-step explanation:

mn = -3 because 3 × -1 = -3

p^2 = 4 because 2^2 = 4

Then 4 + -3 = -1

Answer:

I have attached a picture of me solving the equation. If you have any questions I am here to help. Hope this helps, thank you :) !!

Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.

Answers

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

What is 1+1? I need help fast.

Answers

Answer:

1+1 is 2

Hope it will help :)

Select all that apply.

Which of the following are proportions?

Answers

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

x cm
8 cm
2x cm
1 cm
The longest side on the shape is 12 cm
Work out the value of x.

Answers

Answer:

The value of x must be 6. Because as it is said that the longest side of this shape is 12 therefore, if 2 is multiplied with 6 one of tge sides is 12, which is the biggest.

Hope it helps!!

Theequationforlinefcanbewrittenasy = –3x − 6
. Line
gisparalleltolinefandpassesthrough
(6, –8) . What
istheequationofline
g ?


Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

f(x) = -3x-6

slope of line is -3

parallel lines have the same slope

point-slope equation for line of slope -3 that passes through (6,-8):

y+8 = -3(x-6)

put equation into slope-intercept form:

y = -3x + 10

Answer:

[tex]y = - 3x + 10[/tex]

Step-by-step explanation:

We are asked to find a line parallel to line f

[tex] - 3x - 6[/tex]

and passes through 6,-8.

Parallel lines have the same slope so our new line will also has-3 as it slope

wo using the slope intercept form let update our equation so far.

Slope intercept is

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept

plug in -3 for the slope since our new equation must be parallel.

[tex]y = - 3x + b[/tex]

Now plug 6 for x and -8 for y.

[tex] - 8 = - 3(6) + b[/tex]

[tex] - 8 = - 18 + b[/tex]

[tex]b = 10[/tex]

Our equation is

[tex]y = - 3x + 10[/tex]

Can someone help me please :)

Answers

Answer:

-2   :)

Step-by-step explanation:

-2 is the correct answer. I hope this helps :)

Vinny donates 15 dollars to charity every two weeks. At this rate, how long will it take Vinny to donate 90 dollars?​

Answers

Answer:

6

Step-by-step explanation:

Because 90/15 =6

Answer:

It is 12!

Step-by-step explanation:

15 divided by 2

7.5 times 90

12!

I also put it in the Boom  Cards and it was correct!

Substitute
24y = -6 ( ) there is a blank in the parentheses I just need 1 number

Answers

Answer:

y=-4

Step-by-step explanation:

24y=-6

24y/24y=24y/-6

y=-4

Select all ordered pairs that correspond to input-output pairs of the function y = −7x + 6.

Answers

Answer:

There are no options, so i will answer in a general way.

In a function:

y = f(x)

The output is y, and the input is x, and the ordered pair is written as (x, y)

In this case, we have the function:

y = -7*x + 6

Then we need to have different inputs and then find the outputs for each.

For example, if x = 1.

y = -7*1 + 6 = -1

Then we have the ordered pair (1, - 1)

if x = 0

y = -7*0 + 6 = 6

then we have the ordered pair (0, 6)

The general ordered pair is written as:

(x, y =  -7*x + 6)

or:

(x,   -7*x + 6)

Where you only need to replace the value of x.

The graph shows the distance a train travels over a period of time. What is the independent variable in the graph?

Time

Distance

The train

There is no clear independent variable.

Answers

Distance is the independent variable.

The parks department is planting trees. Maple trees cost $50 and Oak trees cost $25. The tree planting budget is $800. What is the x-intercept in this situation

Answers

Answer:

looooook ittttt uppppppps bwbebee

Step-by-step explanation:

bagsywbwbebne

e

e

e

e

e

e

e

ejdjdndndeebbebe

Answer: 50 or 25

Step-by-step explanation:

i apologize if i am wrong

Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250

Answers

Answer:

She Has To Work For Around 23 Hours.

How I Found The Answer:

10 x 23 = 230 Dollars

230 + 25 = 255 Dollars

PLEASE HELP IN ALGEBRA, LAST QUESTION!!

Answers

Step by step explanation:

Question 1:

Let's simplify step-by-step.

−3x2+6x+5x2−2

=−3x2+6x+5x2+−2

Combine Like Terms:

=−3x2+6x+5x2+−2

=(−3x2+5x2)+(6x)+(−2)

=2x2+6x+−2

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